Sökning: "initial value problems"

Visar resultat 21 - 25 av 73 avhandlingar innehållade orden initial value problems.

  1. 21. Stability and boundedness results for variable-step variable-formula methods

    Författare :Jørgen Sand; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This work constitutes the author's Doctoral thesis, which includes an introduction to and a summary of the following two TRITA-NA-reports: 8112 and 8218.In many practical applications one is interested in step-wise simulation of the behaviour of a dynamic system described by ordinary differential equations. LÄS MER

  3. 22. Computational Free-Surface Flows Computational Techniques for Nonlinear Seepage Flow in Porous Media with Free and Moving Boundaries

    Författare :Nahidh Hamid Sharif; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; nonlinear seepage flow; ICT; free boundary; LSM; CFD; two-fluid interfaces; FEM;

    Sammanfattning : Motion of a viscous fluid interface is encountered in many physical processes in engineering applications. The accurate representation and efficient numerical solution of the fluid interface are crucial problems in simulations of the physical processes in these applications. LÄS MER

  4. 23. Applications of summation-by-parts operators

    Författare :Oskar Ålund; Jan Nordström; Andrew Ross Winters; Murtazo Nazarov; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this thesis primarily deals with. LÄS MER

  5. 24. Summation-by-Parts Operators for High Order Finite Difference Methods

    Författare :Ken Mattsson; Nordström Jan; Gunilla Kreiss; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Dinite difference methods; accuracy; stability; dissipation; Numerical analysis; Numerisk analys; Scientific Computing; Beräkningsvetenskap; Numerical Analysis;

    Sammanfattning : High order accurate finite difference methods for hyperbolic and parabolic initial boundary value problems (IBVPs) are considered. Particular focus is on time dependent wave propagating problems in complex domains. Typical applications are acoustic and electromagnetic wave propagation and fluid dynamics. LÄS MER

  7. 25. Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics

    Författare :Sofia Eriksson; Jan Nordström; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; summation by parts; simultaneous approximation term; accuracy; stability; finite difference methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : In numerical simulations, problems stemming from aerodynamics pose many challenges for the method used. Some of these are addressed in this thesis, such as the fluid interacting with objects, the presence of shocks, and various types of boundary conditions. LÄS MER