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Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems Book

Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems
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Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems, This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of , Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
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  • Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
  • Written by author Randall J. LeVeque
  • Published by SIAM, 7/10/2007
  • This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of
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Preface; Part I. Boundary Value Problems and Iterative Methods: 1. Finite difference approximations; 2. Steady states and boundary value problems; 3. Elliptic equations; 4. Iterative methods for sparse linear systems; Part II. Initial Value Problems; 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; A. Measuring errors; B. Polynomial interpolation and orthogonal polynomials; C. Eigenvalues and inner-product norms; D. Matrix powers and exponentials; E. Partial differential equations; Bibliography; Index.


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Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems, This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of , Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

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Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems, This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of , Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems

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Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems, This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of , Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Finite Difference Methods for Ordinary & Partial Differential Equations: Steady-State & Time-Dependent Problems

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