Computational partial differential equations : numerical methods and Diffpack programming / Hans Petter Langtangen.
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Langtangen, Hans Petter, 1962- (författare)
- ISBN 354043416X
- 2. ed.
- Publicerad: Berlin : Springer, 2003
- Engelska xxvi, 855 s.
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Serie: Texts in computational science and engineering, 1611-0994 ; 1
Innehållsförteckning
Ämnesord
Stäng
- 1. Getting Started -- 1.1. The First Diffpack Encounter -- 1.2. Overview of Application Examples -- 1.3. Steady One-Dimensional Heat Conduction -- 1.4. Simulation of Waves -- 1.5. Projects -- 1.6. About Programming with Objects -- 1.7. Coding the PDE Simulator as a Class -- 1.8. Projects -- 2. Introduction to Finite Element Discretization -- 2.1. Weighted Residual Methods -- 2.2. Time Dependent Problems -- 2.3. Finite Elements in One Space Dimension -- 2.4. Example: A 1D Wave Equation -- 2.5. Naive Implementation -- 2.6. Projects -- 2.7. Higher-Dimensional Finite Elements -- 2.8. Calculation of Derivatives -- 2.9. Convection-Diffusion Equations -- 2.10. Analysis of the Finite Element Method -- 3. Programming of Finite Element Solvers -- 3.1. A Simple Programs for the Poisson Equation -- 3.2. Increasing the Flexibility -- 3.3. Some Visualization Tools -- 3.4. Some Useful Diffpack Features -- 3.5. Introducing More Flexibility -- 3.6. Step-by-Step Development of a Diffpack Solver -- 3.7. Adaptive Grids -- 3.8. Projects -- 3.9. A Convection-Diffusion Solver -- 3.10. A Heat Equation Solver -- 3.11. A More Flexible Heat Equation Solver -- 3.12. Visualization of Time-Dependent Fields -- 3.13. A Transient Heat Transfer Application -- 3.14. Projects -- 3.15. Efficient Solution of the Wave Equation -- 4. Nonlinear Problems -- 4.1. Discretization and Solution of Nonlinear PDEs -- 4.2. Software Tools for Nonlinear Finite Element Problems -- 4.3. Projects -- 5. Solid Mechanics Applications -- 5.1. Linear Thermo-Elasticity -- 5.2. Elasto-Viscoplasticity -- 6. Fluid Mechanics Applications -- 6.1. Convection-Diffusion Equations -- 6.2. Shallow Water Equations -- 6.3. An Implicit Finite Element Navier-Stokes Solver -- 6.4. A Classical Finite Difference Navier-Stokes Solver -- 6.5. A Fast Finite Element Navier-Stokes Solver -- 6.6. Projects -- 7. Coupled Problems -- 7.1. Fluid-Structure Interaction; Squeeze-Film Damping -- 7.2. Fluid Flow and Heat Conduction in Pipes -- 7.3. Projects -- A. Mathematical Topics -- B. Diffpack Topics -- C. Iterative Methods for Sparse Linear Systems -- D. Software Tools for Solving Linear Systems.
Ämnesord
- Partiella differentialekvationer (sao)
- Differential equations, Partial -- Numerical solutions -- Data processing. (LCSH)
Titel
- Diffpack (Computer file)
Indexterm och SAB-rubrik
- Tdcbbb Partiella differentialekvationer
- Pu Datorer och databehandling
Klassifikation
- 515.353 (DDC)
- 65N30 (msc)
- 65M60 (msc)
- Tdcbbb:pu (kssb/7)
- Pu:t (kssb/7)
Inställningar
Hjälp
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