Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems

By: Randall J. LeVequeMaterial type: TextTextPublication details: USA: SIAM, [c2007]Description: 341 pISBN: 9780898716290Subject(s): MathematicsLOC classification: QA431
Contents:
1. Finite Difference Approximations 2. Steady States and Boundary Value Problems 3. Elliptic Equations 4. Iterative Methods for Sparse Linear Systems 5. The Initial Value Problem for Ordinary Differential Equations 6. Zero-Stability and Convergence for Initial Value Problems 7. Absolute Stability for Ordinary Differential Equations 8. Stiff Ordinary Differential Equations 9. Diffusion Equations and Parabolic Problems 10. Advection Equations and Hyperbolic Systems 11. Mixed Equations
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1. Finite Difference Approximations
2. Steady States and Boundary Value Problems
3. Elliptic Equations
4. Iterative Methods for Sparse Linear Systems
5. The Initial Value Problem for Ordinary Differential Equations
6. Zero-Stability and Convergence for Initial Value Problems
7. Absolute Stability for Ordinary Differential Equations
8. Stiff Ordinary Differential Equations
9. Diffusion Equations and Parabolic Problems
10. Advection Equations and Hyperbolic Systems
11. Mixed Equations

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