MathMods :: Joint MSc

Sem3 TWU Applied PDEs

Sem3 TWU Applied PDEs

Applications  @  TUW  30 ECTS credits

Advanced modelling and numerics for applied PDEs

TBD

 

Below you can find information about the subjects for this semester.

  • Numerical simulation and scientific computing [6 credits]

    Numerical simulation and scientific computing

    • ECTS credits 6
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Essential features of scientific computing: numerical methods for differential equations, selected programming languages, computer architectures, performance issues.


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  • High performance computing & Introduction to Python programming [6 credits]

    High performance computing & Introduction to Python programming

    • ECTS credits 6
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      1. High Performance Computing: current HPC architectures and communication networks, problems, algorithms and solutions; advanced MPI programming, tools, performance models, libraries.
      2. Introduction to Python programming: Python overview, numerical packages, Iterators, Generators, Object oriented programming.

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  • Modelling with PDEs [6 credits]

    Modelling with PDEs

    • ECTS credits 6
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Essential features of using partial differential equations for the modelling of technical and natural scientific problems.


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Pick 12 credits at least from

  • Numerical methods in fluid dynamics [5 credits]

    Numerical methods in fluid dynamics

    • ECTS credits 5
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Methods for convection-diffusion equations, projection methods for incom- pressible and compressible Navier-Stokes equations, treatment of complex geometries, turbulence modelling.


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  • Finite element methods for multi-physics [5 credits]

    Finite element methods for multi-physics

    • ECTS credits 5
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Finite-Element method and aspects for computer implementation, computation of mechanical problems, coupled field problems (magnetic, mechanical and acoustic), optimisation of modern mechatronic systems.


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  • Calculating Turbulent Flows with CFD-Codes [3 credits]

    Calculating Turbulent Flows with CFD-Codes

    • ECTS credits 3
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Application of commercial and open source CFD programs: calculation of (turbulent) flows, different turbulence models, verification by data from the literature.


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  • Stochastic analysis in financial and actuarial mathematics [7 credits]

    Stochastic analysis in financial and actuarial mathematics

    • ECTS credits 7
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Main features of stochastic analysis (Itô-integral w.r.t. Browning motion).


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  • Functional analysis 2 [6 credits]

    Functional analysis 2

    • ECTS credits 6
    • Semester 3
    • University Vienna University of Technology
    • Topics

       

      Gelfand transformation, spektral theorem for bounded normal and in particular for unitary operators in Hilbert spaces, spektral theorem for unbounded selfadjoint operators on Hilbert spaces, strongly continuous semigroups, theorem of Hille-Yoshida.


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  • German (level A2.1) [2 credits]

    German (level A2.1)

    • ECTS credits 2
    • Semester 3
    • University Vienna University of Technology

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Home Program structure Semester 3 TUW Advanced mod. and numerics for applied PDEs

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University of L'Aquila, Italy (UAQ)

Department of Information Engineering, Computer Science and Mathematics, via Vetoio (Coppito), 1 – 67100 L’Aquila (Italy)

Autonomous University of Barcelona, Catalonia - Spain (UAB)

Departament de Matemàtiques, Edifici Cc - Campus UAB 08193 Bellaterra – Catalonia

University of Hamburg, Germany (UHH)

Department of Mathematics
Bundesstr. 55 20146 Hamburg - Germany

University of Nice - Sophia Antipolis, France (UNS)

Laboratoire J.A.Dieudonné
Parc Valrose, France-06108 NICE Cedex 2

Vienna Univ. of Technology, Austria (TUW)

Technische Universität Wien
Institute of Analysis & Scientific Computing
Wiedner Hauptstr. 8, 1040 Vienna - Austria

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