SoSe 25  
 Mathematics and...  
 Computational S...  
 Course

Computational Sciences

Computational Sciences

0496a_MA120

  • Computational Sciences

    0496aA1.1
    • 19202301 Lecture
      Computational Sciences (Sebastian Matera)
      Schedule: Mo 10:00-12:00, Mi 10:00-12:00 (Class starts on: 2025-04-07)
      Location: A3/SR 120 (Arnimallee 3-5)

      Comments

      The main focus of the module is on learning working methods. 1-3 problems of interdisciplinary relevance are selected and scientific theory, algorithmics, numerics and efficiency are rigorously practiced on these examples. In the computer exercises, students work in teams to develop, test and optimize implementations of the problems. Examples of suitable problems are e.g.:

      • Wave phenomena and spectral analysis methods: Waves and oscillations in physics, the Fourier and Laplace transforms, discretization, DFT, FFT, implementation, stability analysis, duration analysis, code optimization, hardware acceleration

      • Gravitation, electrostatics and computational procedures: gravitation problems and Coulomb‘s law, periodic systems and convergence, Ewald summation, error analysis, Particle Mesh Ewald, efficient implementation, hardware acceleration

      • Thermal conductivity equation, Poisson’s equation and solution methods: thermal conductivity equation, Poisson’s equation, parabolic PDEs, PDEs, analytical solutions for special cases, domain decomposition / finite element approximation, solution using algebraic methods, implementation, convergence analysis, code optimization, hardware acceleration

      • Data analysis and dimensional reduction: examples of correlated high-dimensional signals, Rayleigh quotient and optimality principle, eigenvalue problem, singular value decomposition and usual solution methods, Nyström approximation and sparse sampling, efficient implementation
    • 19202312 Project Seminar
      Project Seminar for Computational Sciences (Sebastian Matera)
      Schedule: Mo 16:00-18:00, Mi 16:00-18:00 (Class starts on: 2025-04-07)
      Location: A6/030 Rechnerpoolraum (Arnimallee 6)

  • Quantenmechanische Beschreibung von Atomen und chemischer Bindung

    0496aA2.3
    • 21302ak Written Exam
      Prüfung: Atombau und chemische Bindung (Beata Paulus)
      Schedule: Do 24.07. 09:00-12:00, Do 18.09. 09:00-12:00 (Class starts on: 2025-07-24)
      Location: Gr. Hörsaal (Raum B.001) (Arnimallee 22)

  • Complex Algorithms A

    0496aA5.1
    • 19306711 Seminar
      Seminar on Algorithms (László Kozma)
      Schedule: Do 14:00-16:00 (Class starts on: 2025-04-17)
      Location: T9/049 Seminarraum (Takustr. 9)

      Comments

      Contents

      Advanced topics in algorithm design with a changing focus. The topic is determined in each semester.

      This semester we plan a reading-group-style seminar on recent breakthrough results (2020-2025) in shortest paths algorithms.

      Target audience

      Masters students in computer science and mathematics.

      Recommended prerequisites

      "Advanced algorithms" or a similar class.

      Suggested reading

      Spezialliteratur aus Zeitschriften

  • Computer Science and Data Structures A

    0496aA5.2
    • 19300101 Lecture
      Algorithms and Data Structures (Wolfgang Mulzer)
      Schedule: Di 16:00-18:00, Fr 12:00-14:00 (Class starts on: 2025-04-15)
      Location: Gr. Hörsaal (Raum B.001) (Arnimallee 22)

      Comments

      Qualification goals

      The students can analyze algorithms and data structures and their implementations with respect to running time, space requirements, and correctness. The students can describe different algorithms and data structures for typical applications and know how to use them in concrete settings. They can choose appropriate algorithms and data structures for a given task and are able to adapt them accordingly. Students can explain, identify and use different paradigms for designing new algorithms.

      Contents

      • abstract machine models
      • running time, correctness and space requirements
      • worst-case analysis
      • algorithms and randomness
      • algorithmic paradigms: divide and conquer, greedy, dynamic programming, exhaustive search
      • priority queues
      • ordered and unordered dictionaries (e.g., search trees, hash tables, skiplists)
      • algorithms for strings (string searching and radix trees)
      • graph algorithms 

      Suggested reading

      • P. Morin: Open Data Structures, an open content textboox.
      • T. H. Cormen, C. Leiserson, R. Rivest, C. Stein: Introduction to Algorithms, MIT Press, 2022.
      • R. Sedgewick, K. Wayne: Algorithms, Addison-Wesley, 2011.
      • M. Dietzfelbinger, K. Mehlhorn, P. Sanders. Algorithmen und Datenstrukturen: Die Grundwerkzeuge, Springer, 2014.
      • J. Erickson. Algorithms, 2019
      • T. Roughgarden. Algorithms Illuminated. Cambridge University Press, 2022.
    • 19300102 Practice seminar
      Practice seminar for Algorithms and Data Structures (Wolfgang Mulzer)
      Schedule: Mo 14:00-16:00, Mo 16:00-18:00, Mi 12:00-14:00, Mi 14:00-16:00, Mi 16:00-18:00, Do 16:00-18:00, Fr 14:00-16:00, Fr 16:00-18:00 (Class starts on: 2025-04-14)
      Location: T9/051 Seminarraum (Takustr. 9)
    • 19306711 Seminar
      Seminar on Algorithms (László Kozma)
      Schedule: Do 14:00-16:00 (Class starts on: 2025-04-17)
      Location: T9/049 Seminarraum (Takustr. 9)

      Comments

      Contents

      Advanced topics in algorithm design with a changing focus. The topic is determined in each semester.

      This semester we plan a reading-group-style seminar on recent breakthrough results (2020-2025) in shortest paths algorithms.

      Target audience

      Masters students in computer science and mathematics.

      Recommended prerequisites

      "Advanced algorithms" or a similar class.

      Suggested reading

      Spezialliteratur aus Zeitschriften

  • Computer Science and Object-Oriented Programming A

    0496aA5.4
    • 19303811 Seminar
      Project Seminar: Data Management (Muhammed-Ugur Karagülle)
      Schedule: Do 12:00-14:00 (Class starts on: 2025-04-17)
      Location: T9/137 Konferenzraum (Takustr. 9)

      Additional information / Pre-requisites

      Requirement

      ALP I-III, Foundations of Datenbase Systems, good programming knowledge.

      Comments

      Content

      A project seminar serves as preparation of a thesis (bachelor or master) in the AGDB. The focus of this project seminar lies on the analysis and visualization of medical data. Additionally, we will realize a small software project.

      Suggested reading

      Wird bekannt gegeben.

  • Introduction to Numerical Mathematics A

    0496aA6.1
    • 19212001 Lecture
      Numerics I (Claudia Schillings)
      Schedule: Mo 10:00-12:00, Mi 10:00-12:00 (Class starts on: 2025-04-14)
      Location: KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

      Comments

      Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

      Suggested reading

      Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

      Aus dem FU-Netz auch online verfügbar.

      Link
    • 19212002 Practice seminar
      Practice seminar for Numerics I (N.N.)
      Schedule: Di 08:00-10:00, Di 12:00-14:00 (Class starts on: 2025-04-15)
      Location: T9/049 Seminarraum (Takustr. 9)
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Numerics of ODEs and numerical linear algebra A

    0496aA6.2
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Numerics of partial differential equations A

    0496aA6.3
    • 19215201 Lecture
      Basic Module: Numerics III (Volker John)
      Schedule: Mo 10:00-12:00, Mo 14:00-16:00 (Class starts on: 2025-04-28)
      Location: A6/SR 031 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Prerequisites

      Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot.

      Comments

      The mathematical modeling of many processes in nature and industry leads to partial differential equations. Generally, such equations cannot be solved analytically. It is only possible to compute numerical approximations to the solution on the basis of discretized equations. This course studies discretizations of elliptic partial differential equations. Major topics are finite difference methods and finite element methods.

       

      Suggested reading

      • D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
      • A. Ern, J.-L. Guermond: Theory and Practice of Finite Elements (2004)
    • 19215202 Practice seminar
      Practice seminar for Basic Module: Numerics III (André-Alexander Zepernick)
      Schedule: Fr 08:00-10:00 (Class starts on: 2025-04-25)
      Location: A6/SR 025/026 Seminarraum (Arnimallee 6)

      Comments

      Homepage:Wiki der Numerik II
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Synchronization: Mathematics

    0496aA6.4
    • 19201401 Lecture
      Linear Algebra I (Niels Lindner)
      Schedule: Di 12:00-14:00, Fr 10:00-12:00 (Class starts on: 2025-04-15)
      Location: A3/Hs 001 Hörsaal (Arnimallee 3-5)

      Comments

      Content:

      • Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
      • fields
      • Linear equation systems: solvability criteria, Gauss algorithm
      • Vector spaces: linear independence, generating systems and bases, dimension,
      • subspaces, quotient spaces, cross products in R3
      • Linear maps: image and rank, relationship to matrices, behaviour under
      • change of basis
      • Dual vector spaces: multilinear forms, alternating and symmetric bilinear
      • forms, relationship to matices, change of basis
      • Determinants: Cramer's rule, Eigenvalues and Eigenvectors


      Prerequisites:

      Participation in the preparatory course (Brückenkurs) is highly recommended.

       

      Suggested reading

      • Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
      • Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
      • Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

      Zu den Grundlagen

      • Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012
    • 19201402 Practice seminar
      Practice seminar for Linear Algebra I (Niels Lindner)
      Schedule: Di 14:00-16:00, Mi 12:00-14:00, Do 12:00-14:00 (Class starts on: 2025-04-15)
      Location: 1.1.26 Seminarraum E1 (Arnimallee 14)

  • Computational Statistical Physics I A

    0496aA8.1
    • 20104401 Lecture
      Statistical Physics and Thermodynamics (Cecilia Clementi)
      Schedule: Di 10:00-12:00, Fr 10:00-12:00 (Class starts on: 2025-04-15)
      Location: Di 0.1.01 Hörsaal B (Arnimallee 14), Fr 0.1.01 Hörsaal B (Arnimallee 14)

      Comments

      Inhalt:

      • equilibrium ensembles
      • thermodynamics: thermodynamic potentials, laws of thermodynamics, thermodynamic cycles
      • ideal quantum gases
      • phase transitions
      • interacting systems
      • introduction to non-equilibrium statistical mechanics

      Suggested reading

      • R.K. Pathria, Statistical Mechanics (Butterworth Heinemann 1996)
      • F. Schwabl, Statistical Mechanics (2n ed., Springer 2006)
      • F. Reif, Fundamentals of statistical and thermal physics (McGraw-Hill 1965)
      • W. Nolting, Grundkurs theoretische Physik 6: Statistische Physik (Springer 2005)
    • 20104402 Practice seminar
      Statistical Physics and Thermodynamics (Cecilia Clementi)
      Schedule: Di 16:00-18:00, Fr 12:00-14:00 (Class starts on: 2025-04-22)
      Location: Di 1.1.26 Seminarraum E1 (Arnimallee 14), Di 1.4.03 Seminarraum T2 (Arnimallee 14), Fr 1.1.26 Seminarraum E1 (Arnimallee 14)
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science

  • Computational Statistical Physics II A

    0496aA8.2
    • 20125811 Seminar
      Advanced Statistical and Stochastic Physics of Equilibrium and Non-Equilibrium Many-Body Systems (Roland Netz)
      Schedule: Di 16:00-18:00 (Class starts on: 2025-04-15)
      Location: 1.3.21 Seminarraum T1 (Arnimallee 14)

      Comments

      Seminar presentations of seminal publications on various topics related to the statistical mechanics and stochastic description of many-body systems with a focus on biological and soft systems. 

      Examples of seminar topics are:

      • Onsager relations
      • renormalization group theory 
      • field-theoretic description of two-component plasmas, mean-field versus strong-coupling limit
      • phase transitions on lattices
      • projection techniques and coarse-graining
      • classical density functional theory, liquid state theory
      • de Gennes´ reptation theory for the dynamics of polymer melts
      • Parisi´s replica method for the description of quenched random systems
      • non-equilibrium steady state systems
      • self-organization in non-equilibrium systems, reaction-diffusion equation  
      • fluctuations theorems for non-equilibrium reactions
      • non-linear spectroscopy
      • statistical interference, principal component analysis, clustering
      • hydrodynamic instabilities : Serrin´s Theorem 

      Literature

      • Nonequilibrium statistical mechanics, Robert Zwanzig
      • Non-equilibrium thermodynamics, S.R. de Groot and P. Mazur
      • The Fokker-Planck equation, H. Risken
      • Stochastic processes in physics and chemistry, N.G. van Kampen
      • Elementary fluid dynamics, D.J. Acheson
      • Self-organization in non equilibrium systems, G. Nicolis and I. Prigogine

  • Complex Algorithms B

    0496aB1.2
    • 19306711 Seminar
      Seminar on Algorithms (László Kozma)
      Schedule: Do 14:00-16:00 (Class starts on: 2025-04-17)
      Location: T9/049 Seminarraum (Takustr. 9)

      Comments

      Contents

      Advanced topics in algorithm design with a changing focus. The topic is determined in each semester.

      This semester we plan a reading-group-style seminar on recent breakthrough results (2020-2025) in shortest paths algorithms.

      Target audience

      Masters students in computer science and mathematics.

      Recommended prerequisites

      "Advanced algorithms" or a similar class.

      Suggested reading

      Spezialliteratur aus Zeitschriften

  • Computer Science and Data Structures B

    0496aB1.4
    • 19300101 Lecture
      Algorithms and Data Structures (Wolfgang Mulzer)
      Schedule: Di 16:00-18:00, Fr 12:00-14:00 (Class starts on: 2025-04-15)
      Location: Gr. Hörsaal (Raum B.001) (Arnimallee 22)

      Comments

      Qualification goals

      The students can analyze algorithms and data structures and their implementations with respect to running time, space requirements, and correctness. The students can describe different algorithms and data structures for typical applications and know how to use them in concrete settings. They can choose appropriate algorithms and data structures for a given task and are able to adapt them accordingly. Students can explain, identify and use different paradigms for designing new algorithms.

      Contents

      • abstract machine models
      • running time, correctness and space requirements
      • worst-case analysis
      • algorithms and randomness
      • algorithmic paradigms: divide and conquer, greedy, dynamic programming, exhaustive search
      • priority queues
      • ordered and unordered dictionaries (e.g., search trees, hash tables, skiplists)
      • algorithms for strings (string searching and radix trees)
      • graph algorithms 

      Suggested reading

      • P. Morin: Open Data Structures, an open content textboox.
      • T. H. Cormen, C. Leiserson, R. Rivest, C. Stein: Introduction to Algorithms, MIT Press, 2022.
      • R. Sedgewick, K. Wayne: Algorithms, Addison-Wesley, 2011.
      • M. Dietzfelbinger, K. Mehlhorn, P. Sanders. Algorithmen und Datenstrukturen: Die Grundwerkzeuge, Springer, 2014.
      • J. Erickson. Algorithms, 2019
      • T. Roughgarden. Algorithms Illuminated. Cambridge University Press, 2022.
    • 19300102 Practice seminar
      Practice seminar for Algorithms and Data Structures (Wolfgang Mulzer)
      Schedule: Mo 14:00-16:00, Mo 16:00-18:00, Mi 12:00-14:00, Mi 14:00-16:00, Mi 16:00-18:00, Do 16:00-18:00, Fr 14:00-16:00, Fr 16:00-18:00 (Class starts on: 2025-04-14)
      Location: T9/051 Seminarraum (Takustr. 9)
    • 19306711 Seminar
      Seminar on Algorithms (László Kozma)
      Schedule: Do 14:00-16:00 (Class starts on: 2025-04-17)
      Location: T9/049 Seminarraum (Takustr. 9)

      Comments

      Contents

      Advanced topics in algorithm design with a changing focus. The topic is determined in each semester.

      This semester we plan a reading-group-style seminar on recent breakthrough results (2020-2025) in shortest paths algorithms.

      Target audience

      Masters students in computer science and mathematics.

      Recommended prerequisites

      "Advanced algorithms" or a similar class.

      Suggested reading

      Spezialliteratur aus Zeitschriften

  • Computer Science and Object-Oriented Programming B

    0496aB1.8
    • 19303811 Seminar
      Project Seminar: Data Management (Muhammed-Ugur Karagülle)
      Schedule: Do 12:00-14:00 (Class starts on: 2025-04-17)
      Location: T9/137 Konferenzraum (Takustr. 9)

      Additional information / Pre-requisites

      Requirement

      ALP I-III, Foundations of Datenbase Systems, good programming knowledge.

      Comments

      Content

      A project seminar serves as preparation of a thesis (bachelor or master) in the AGDB. The focus of this project seminar lies on the analysis and visualization of medical data. Additionally, we will realize a small software project.

      Suggested reading

      Wird bekannt gegeben.

  • Introduction to Numerical Mathematics B

    0496aB2.2
    • 19212001 Lecture
      Numerics I (Claudia Schillings)
      Schedule: Mo 10:00-12:00, Mi 10:00-12:00 (Class starts on: 2025-04-14)
      Location: KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

      Comments

      Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

      Suggested reading

      Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

      Aus dem FU-Netz auch online verfügbar.

      Link
    • 19212002 Practice seminar
      Practice seminar for Numerics I (N.N.)
      Schedule: Di 08:00-10:00, Di 12:00-14:00 (Class starts on: 2025-04-15)
      Location: T9/049 Seminarraum (Takustr. 9)
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Numerics of ODEs and numerical linear algebra B

    0496aB2.4
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Numerics of partial differential equations B

    0496aB2.6
    • 19215201 Lecture
      Basic Module: Numerics III (Volker John)
      Schedule: Mo 10:00-12:00, Mo 14:00-16:00 (Class starts on: 2025-04-28)
      Location: A6/SR 031 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Prerequisites

      Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot.

      Comments

      The mathematical modeling of many processes in nature and industry leads to partial differential equations. Generally, such equations cannot be solved analytically. It is only possible to compute numerical approximations to the solution on the basis of discretized equations. This course studies discretizations of elliptic partial differential equations. Major topics are finite difference methods and finite element methods.

       

      Suggested reading

      • D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
      • A. Ern, J.-L. Guermond: Theory and Practice of Finite Elements (2004)
    • 19215202 Practice seminar
      Practice seminar for Basic Module: Numerics III (André-Alexander Zepernick)
      Schedule: Fr 08:00-10:00 (Class starts on: 2025-04-25)
      Location: A6/SR 025/026 Seminarraum (Arnimallee 6)

      Comments

      Homepage:Wiki der Numerik II
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Computational Statistical Physics I B

    0496aB3.2
    • 20104401 Lecture
      Statistical Physics and Thermodynamics (Cecilia Clementi)
      Schedule: Di 10:00-12:00, Fr 10:00-12:00 (Class starts on: 2025-04-15)
      Location: Di 0.1.01 Hörsaal B (Arnimallee 14), Fr 0.1.01 Hörsaal B (Arnimallee 14)

      Comments

      Inhalt:

      • equilibrium ensembles
      • thermodynamics: thermodynamic potentials, laws of thermodynamics, thermodynamic cycles
      • ideal quantum gases
      • phase transitions
      • interacting systems
      • introduction to non-equilibrium statistical mechanics

      Suggested reading

      • R.K. Pathria, Statistical Mechanics (Butterworth Heinemann 1996)
      • F. Schwabl, Statistical Mechanics (2n ed., Springer 2006)
      • F. Reif, Fundamentals of statistical and thermal physics (McGraw-Hill 1965)
      • W. Nolting, Grundkurs theoretische Physik 6: Statistische Physik (Springer 2005)
    • 20104402 Practice seminar
      Statistical Physics and Thermodynamics (Cecilia Clementi)
      Schedule: Di 16:00-18:00, Fr 12:00-14:00 (Class starts on: 2025-04-22)
      Location: Di 1.1.26 Seminarraum E1 (Arnimallee 14), Di 1.4.03 Seminarraum T2 (Arnimallee 14), Fr 1.1.26 Seminarraum E1 (Arnimallee 14)

  • Computational Statistical Physics II B

    0496aB3.4
    • 20125811 Seminar
      Advanced Statistical and Stochastic Physics of Equilibrium and Non-Equilibrium Many-Body Systems (Roland Netz)
      Schedule: Di 16:00-18:00 (Class starts on: 2025-04-15)
      Location: 1.3.21 Seminarraum T1 (Arnimallee 14)

      Comments

      Seminar presentations of seminal publications on various topics related to the statistical mechanics and stochastic description of many-body systems with a focus on biological and soft systems. 

      Examples of seminar topics are:

      • Onsager relations
      • renormalization group theory 
      • field-theoretic description of two-component plasmas, mean-field versus strong-coupling limit
      • phase transitions on lattices
      • projection techniques and coarse-graining
      • classical density functional theory, liquid state theory
      • de Gennes´ reptation theory for the dynamics of polymer melts
      • Parisi´s replica method for the description of quenched random systems
      • non-equilibrium steady state systems
      • self-organization in non-equilibrium systems, reaction-diffusion equation  
      • fluctuations theorems for non-equilibrium reactions
      • non-linear spectroscopy
      • statistical interference, principal component analysis, clustering
      • hydrodynamic instabilities : Serrin´s Theorem 

      Literature

      • Nonequilibrium statistical mechanics, Robert Zwanzig
      • Non-equilibrium thermodynamics, S.R. de Groot and P. Mazur
      • The Fokker-Planck equation, H. Risken
      • Stochastic processes in physics and chemistry, N.G. van Kampen
      • Elementary fluid dynamics, D.J. Acheson
      • Self-organization in non equilibrium systems, G. Nicolis and I. Prigogine

  • Molecular simulation I

    0496aC1.1
    • 19244601 Lecture
      Methods of Molecular Simulations (Felix Höfling)
      Schedule: Di 12:00-14:00 (Class starts on: 2025-04-15)
      Location: A6/SR 025/026 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Exercises will be computer based

      Comments

      This course teaches molecular simulation algorithms and techniques, in particular:

      • Molecular dynamics algorithm and integrators
      • Monte Carlo sampling
      • Thermostats and barostats
      • Electrostatic treatment
      • Implicit vs. explicit solvent methods

      Suggested reading

      It is recommended to get access to or a hard copy of at least one of the following books:

      • Allen & Tildesley: Computer simulation of liquids, 2nd ed. (Oxford Univ. Press, 2017)
      • Frenkel & Smit: Understanding molecular simulation, 2nd ed. (Acad. Press, London, 2002)
      • Tuckerman: Statistical Mechanics: Theory and Molecular Simulation (Oxford Univ. Press, 2010)
      • Rapaport: The art of molecular dynamics simulations, 2nd ed. (Cambridge Univ. Press, 2004)
    • 19244602 Practice seminar
      Lecture for Methods of Molecular Simulations (Felix Höfling)
      Schedule: Do 10:00-12:00 (Class starts on: 2025-04-24)
      Location: A3/SR 120 (Arnimallee 3-5)

  • Selected topics in theoretical computational sciences

    0496aC1.11
    • 19207101 Lecture
      Partial differential equations with multiple scales: Theory and computation (Rupert Klein)
      Schedule: Mi 10:00-12:00 (Class starts on: 2025-04-16)
      Location: 1.1.26 Seminarraum E1 (Arnimallee 14)

      Comments

      Many problems in the sciences are determined by processes on several scales. Such problems are denoted as multi-scale problems. One example for a multi-scale problem is the partial differential equations (PDEs), which govern geophysical fluid flows. Averaging methods can be used for the analytical description of the slow scales. These descriptions are beneficial for numerical time-stepping schemes, as they allow for taking bigger time-steps than the unaveraged problem. The focus of this course will be on averaging methods for PDEs describing fluid flows and the design of parallelisable numerical time stepping methods, which are versions of the Parareal method and incorporate averaging techniques.

      Requirements: basic courses in analysis, basic course numerical mathematics

      Literature:

      Wingate, B.A.; Rosemeier, J.; Haut, T., Mean Flow from Phase Averages in the 2D Boussinesq Equations. Atmosphere 2023, 14, 1523.
      https://doi.org/10.3390/atmos14101523

      T. Haut, B. Wingate,  An asymptotic parallel-in-time method for highly oscillatory pde's, SIAM Journal on Scientific Computing, 36 (2014), pp. A693-A713

      J.-L. Lions, G. Turinici, A "parareal" in time discretization of PDE's, Comptes Rendus de l'Academie des Sciences - Series I - Mathematics, 332 (2001), pp. 661-668

      Sanders, F. Verhulst, J. Murdock,  Averaging Methods in Nonlinear Dynamical Systems, Springer New York, NY, 2ed., 2000
    • 19215301 Lecture
      Mathematical Modelling in Climate Research (Rupert Klein)
      Schedule: Di 14:00-16:00 (Class starts on: 2025-04-15)
      Location: KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)

      Comments

      Content:

      Mathematics plays a central role in the development and analysis of models for weather prediction. Controlled physical experiments are out of question, and the only way we can study Earth’s weather and climate system is through mathematical models, computational experiments, and data analysis.

      Fluctuations in daily weather are tightly connected to turbulence, and turbulence represents a challenge for the predictability of weather. No general solution for the equations of fluid motion is known, and consequently no general solutions to problems in turbulent flows are available. Instead, scientists rely on conceptual models and statistical descriptions to understand the essence of daily weather and how that feeds back on climate behavior.

       

      This course/seminar focuses on techniques of mathematical modeling that assist scientists in exploring the listed issues systematically.

      The course will cover a selection from the following topics

      1. Conservation laws and governing equations,

      2. Numerical methods for geophysical flow simulations,

      3. Dynamical systems and bifurcation theory,

      4. Data-based characterization of atmospheric flows

       

      This course can be attended as the second part of the BMS Basic Course "Mathematical Modeling with PDEs", which stretches over two semesters at FU Berlin. The second part will be covered by the course 19235701 + 19235702 "Introduction to Mathematical Modeling with Partial Differential Equations" abgedeckt, which is offered at FU Berlin in winter terms. 

      Suggested reading

      Literaturhinweise werden anfangs des Semesters in Abhängigkeit von der Themenauswahl gegeben. Interessante Startpunkte, die einen ersten Einstieg in obige drei Hauptpunkte erlauben, sind Klein R., Scale-Dependent Asymptotic Models for Atmospheric Flows, Ann. Rev. Fluid Mech., vol. 42, 249-274 (2010) D. Durran, Numerical Methods for Fluid Dynamics with Applications to Geophysics, Springer, Computational Science and Engineering Series, (2010) Metzner Ph., Putzig L., Horenko I., Analysis of persistent nonstationary time series and applications Comm. Appl. Math. & Comput. Sci., vol. 7, 175-229 (2012)

      Tennekes and Lumley, A first course in Turbulence, MIT Press (1974)

       
    • 19229601 Lecture
      Stochastic dynamics in fluids (Felix Höfling)
      Schedule: Do 12:00-14:00 (Class starts on: 2025-04-17)
      Location: A3/ 024 Seminarraum (Arnimallee 3-5)

      Additional information / Pre-requisites

      Target audience: M.Sc. Computational Sciences/Mathematik/Physik

      Requirements: some advanced course on either statistical physics or stochastic processes

      Comments

      The liquid state comprises a large class of materials ranging from simple fluids (argon, methane) and molecular fluids (water) to soft matter systems such as polymer solutions (ketchup), colloidal suspensions (wall paint), and heterogeneous media (cell cytoplasm). The basic transport mode in liquids is that of diffusion due to thermal fluctuations, but already the simplest liquids exhibit a non-trivial dynamic response well beyond standard Brownian motion. From the early days of the field, computer simulations have played a central role in identifying complex dynamics and testing the approximations of their theoretical descriptions. On the other hand, theory imposes constraints on the analysis of experimental or simulation data.

      The course is at the interface of probability theory and statistical mechanics. Noting that fluids constitute high-dimensional stochastic processes, I will give an introduction to the principles of liquid state theory, and we will derive the mathematical structure of the relevant correlation functions. The second part makes contact to recent research and gives an overview on selected topics. The exercises are split into a theoretical part, discussed in biweekly lessons, and a practical part in form of a small simulation project conducted during a block session (2 days) after the lecture phase.

      Keywords:

      • Brownian motion, diffusion, and stochastic processes in fluids
      • harmonic analysis of correlation functions
      • Zwanzig-Mori projection operator formalism
      • mode-coupling approximations, long-time tails
      • critical dynamics and transport anomalies

      Suggested reading

      • Hansen and McDonald: Theory of simple liquids (Academic Press, 2006).
      • Höfling and Franosch, Anomalous transport in the crowded world of biological cells, Rep. Prog. Phys. 76, 046602 (2013).

      Further literature will be given during the course.
    • 19234501 Lecture
      Mathematical strategies for complex stochastic dynamics (Wei Zhang)
      Schedule: Mi 14:00-16:00 (Class starts on: 2025-04-23)
      Location: T9/053 Seminarraum (Takustr. 9)

      Additional information / Pre-requisites

      Prerequisites: Basic knowledge of stochastics, and numerical methods

      Comments

      Content:

      Stochastic dynamics are widely studied in scientific fields such as physics, biology, and climate. Understanding these dynamics is often challenging due to their high dimensionality and multiscale characteristics. This lecture provides an introduction to theoretical and numerical techniques, including machine learning techniques, for studying such complex stochastic dynamics. The following topics will be covered:

      - Basic of stochastic processes:

      Langevin dynamics, overdamped Langevin dynamics, Markov chains, generators and Fokker-Planck equation, convergence to equilibrium, Ito’s formula

      - Model reduction techniques for stochastic dynamics:

      averaging technique, effective dynamics, Markov state modeling

      - Machine learning techniques using/for stochastic dynamics: 

      dynamics of stochastic gradient descent, autoencoders, solving eigenvalue problems by deep learning, generative modeling using diffusion models, continuous normalizing flow, or flow-matching

      Suggested reading

      1) Bernt Øksendal. Stochastic Differential Equations: An Introduction with Applications. 5th. Springer, 2000

      2) Kevin P. Murphy. Probabilistic Machine Learning: An introduction. MIT Press, 2022. url: probml.ai

      3) J.-H. Prinz et al. “Markov models of molecular kinetics: Generation and validation”. In: J. Chem. Phys. 134.17, 174105 (2011), p. 174105

      4) W. Zhang, C. Hartmann, and C. Schütte. “Effective dynamics along given reaction coordinates and reaction rate theory”. In: Faraday Discuss. 195 (2016), pp. 365–394

      5) Mardt, A., Pasquali, L., Wu, H. et al. VAMPnets for deep learning of molecular kinetics. Nat Commun 9, 5 (2018).

      6)  Score-Based Generative Modeling through Stochastic Differential Equations, Yang Song, Jascha Sohl-Dickstein, Diederik P Kingma, Abhishek Kumar, Stefano Ermon, Ben Poole, ICLR 2021.
    • 19240701 Lecture
      Functional Analysis Applied to Modeling of Molecular Systems (Luigi Delle Site)
      Schedule: Di 14:00-16:00 (Class starts on: 2025-04-15)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Die Vorlesung findet Dienstags von 14-16 Uhr in der Arnimallee 9 statt.

      Die Übung findet Montags von von 14-16 Uhr in der Arnimallee 9 statt.

      Comments

      Prpgram:

      -Existence of ordinary matter as a mathematical problem -the existence of the thermodynamic limit -One concrete way to model molecules: Density Functional theory and its mathematical structure -Existence/non-existence of relativistic matter, Dirac Operator on scalar fields -Spinors, Second Quantization and Fock space

    • 19207102 Practice seminar
      Partial differential equations with multiple scales: Theory and computation (Rupert Klein)
      Schedule: Mi 14:00-16:00 (Class starts on: 2025-04-16)
      Location: A6/SR 009 Seminarraum (Arnimallee 6)
    • 19215302 Practice seminar
      Practice seminar for Mathematical Modelling in Climate Research (Rupert Klein)
      Schedule: Di 16:00-18:00 (Class starts on: 2025-04-15)
      Location: KöLu24-26/SR 006 Neuro/Mathe (Königin-Luise-Str. 24 / 26)
    • 19229602 Practice seminar
      Exercises to Stochastic processes in fluids (Felix Höfling)
      Schedule: Di 14:00-16:00 (Class starts on: 2025-04-29)
      Location: A6/SR 025/026 Seminarraum (Arnimallee 6)
    • 19234502 Practice seminar
      Practice seminar for Mathematical strategies for complex stochastic dynamics (Wei Zhang)
      Schedule: Fr 10:00-12:00 (Class starts on: 2025-04-25)
      Location: T9/046 Seminarraum (Takustr. 9)

      Comments

      Concrete and simple stochastic dynamics will be studied to illustrate analytical and numerical techniques. Numerical methods will be demonstrated using Jupyter Notebook.
    • 19240702 Practice seminar
      Practice seminar for Functional Analysis applied to modeling of molecular systems (Luigi Delle Site)
      Schedule: Mo 14:00-16:00 (Class starts on: 2025-04-14)
      Location: Virtueller Raum 01

  • Forschungsseminar computational sciences

    0496aC1.6
    • 19226511 Seminar
      Seminar Multiscale Methods in Molecular Simulations (Luigi Delle Site)
      Schedule: Fr 12:00-14:00 (Class starts on: 2025-04-25)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Comments

      Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

      The discussion will concerns both, specific computational coding and conceptual developments.

      Suggested reading

      Related Basic Literature:

      (1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

      (2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

      (3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science
    • 19226611 Seminar
      Seminar Quantum Computational Methods (Luigi Delle Site)
      Schedule: Mi 12:00-14:00 (Class starts on: 2025-04-16)
      Location: Virtueller Raum 01

      Additional information / Pre-requisites

      At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

      Die Veranstaltung findet Mittwochs von 12-14 Uhr in der Arnimallee 9 statt.

      Comments

      The seminar will focus on the literature related to the most popular molecular simulation methods for quantum mechanical systems.
      In particular we will read and discuss the paper at the foundation of Path Integral Molecular Dynamics, Quantum Monte Carlo techniques and Density Functional Theory. A new development became relevant in the last yeras, i.e. quantum calculations on quantum computers, part of the seminar will treat also such novel aspects.
      Moreover the reading and the discussion will be complemented by paper about the latest developments and applications of the methods.

      Suggested reading

      Related Basic Literature:
      (1) David M.Ceperley, Reviews of Modern Physics 67 279 (1995)
      (2) Miguel A. Morales, Raymond Clay, Carlo Pierleoni, and David M. Ceperley, Entropy 2014, 16(1), 287-321
      (3) P. Hohenberg and W. Kohn, Phys. Rev. 136 (1964) B864-B871
    • 19227611 Seminar
      Seminar Uncertainty Quantification & Inverse Problems (Claudia Schillings)
      Schedule: Do 10:00-12:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-04-24)
      Location: A3/SR 115 (Arnimallee 3-5)

      Comments

      The seminar covers advanced topics of uncertainty quantification and inverse problems.

  • Molecular simulation II

    0496aC1.8
    • 19244601 Lecture
      Methods of Molecular Simulations (Felix Höfling)
      Schedule: Di 12:00-14:00 (Class starts on: 2025-04-15)
      Location: A6/SR 025/026 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Exercises will be computer based

      Comments

      This course teaches molecular simulation algorithms and techniques, in particular:

      • Molecular dynamics algorithm and integrators
      • Monte Carlo sampling
      • Thermostats and barostats
      • Electrostatic treatment
      • Implicit vs. explicit solvent methods

      Suggested reading

      It is recommended to get access to or a hard copy of at least one of the following books:

      • Allen & Tildesley: Computer simulation of liquids, 2nd ed. (Oxford Univ. Press, 2017)
      • Frenkel & Smit: Understanding molecular simulation, 2nd ed. (Acad. Press, London, 2002)
      • Tuckerman: Statistical Mechanics: Theory and Molecular Simulation (Oxford Univ. Press, 2010)
      • Rapaport: The art of molecular dynamics simulations, 2nd ed. (Cambridge Univ. Press, 2004)
    • 19244602 Practice seminar
      Lecture for Methods of Molecular Simulations (Felix Höfling)
      Schedule: Do 10:00-12:00 (Class starts on: 2025-04-24)
      Location: A3/SR 120 (Arnimallee 3-5)

  • Modules w/o courses in this semester

    34 Modules
    • Einführung in die Molekülspektroskopie 0496aA2.1
    • Einführung in die Theoretische Chemie 0496aA2.2
    • Grundlagen der Fernerkundung und digitalen Bildverarbeitung 0496aA3.1
    • Grundlagen der Hydro- und Klimageographie 0496aA3.2
    • Grundlagen von geographischen Informationssystemen 0496aA3.3
    • Synchronization: Earth 0496aA4.1
    • Computer Science and Functional Programming A 0496aA5.3
    • Dynamik der Atmosphäre 0496aA7.1
    • Einführung in die Dynamik der Atmosphäre 0496aA7.2
    • Grundlagen der Synoptischen Meteorologie 0496aA7.3
    • Einführung in die Quantenmechanik 0496aA8.3
    • Computer Science and Functional Programming B 0496aB1.6
    • Quantum Reaction Dynamics 0496aC1.10
    • Selected topics in applied computational sciences 0496aC1.12
    • Quantenchemie 0496aC1.2
    • Dichtefunktionaltheorie 0496aC1.3
    • Forschungsprojekt A 0496aC1.4
    • Forschungsprojekt E 0496aC1.5
    • Markov modeling 0496aC1.7
    • Quantenchemische Korrelationsmethoden 0496aC1.9
    • Physik der Erde I 0496aC2.1
    • Thermodynamik und Kinetik von geologischen Prozessen 0496aC2.10
    • Seismik II 0496aC2.2
    • Dynamics of the Earth 0496aC2.3
    • Forschungsprojekt C 0496aC2.5
    • Physik der Erde II 0496aC2.7
    • Weather and Climate Diagnosis 0496aC3.1
    • Theoretical Meteorology I 0496aC3.10
    • Theoretical Meteorology II 0496aC3.11
    • Forschungsprojekt B 0496aC3.2
    • Forschungsprojekt D 0496aC3.3
    • Climate Variability and Models 0496aC3.5
    • Models for Weather and Environment 0496aC3.6
    • Satellite Meteorology 0496aC3.7