Applied Numerical Methods for Partial Differential Equations

1 Overview.- 2 Consistency, Stability, Convergence.- 3 Numerical Methods for ODE IVPs.- 4 Numerical Methods for ODE BVPs.- 5 Overview of PDEs.- 6 Numerical Methods for Parabolic PDEs.- 7 Numerical Methods for Elliptic PDEs.- 8 Numerical Methods for Hyperbolic PDEs.- 9 Numerical Methods for Mixed Type PDEs.- A Useful Mathematical Formulas.- B Norms and Condition Number.- References.- Index .

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• Matemática para engenheiros
• Análise numérica
• Cálculo diferencial e equações

numerical methods for differential equations;fluid and gas dynamics methods;WENO, PCG, and TRBDF2 methods;nonlinear diffusion methods;Laplace and Poisson equation methods