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Numerical methods for partial differential equations by William F. Ames

Numerical methods for partial differential equations William F. Ames ebook
Format: djvu
Publisher: Elsevier
ISBN: 0120567601, 9780120567607
Page: 380

Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations. To numerical solutions of partial differential equations, numerical linear algebra, parallel computing, mathematical modeling involving systems of PDEs or stochastic PDEs, data assimilation, and quantification of uncertainty. Chapter-9 Approximating Eigenvalues. Chapter-12 Numerical Methods for Partial-Differential Equations. Chapter-11 Boundary-Value Problems for Ordinary Differential Equations. Chapter-10 Solutions of Systems of Nonlinear Equations. The focus of this new journal is on all theoretical and numerical methods on soft computing, mathematics and control theory with applications in science and industry. But there exists no analytical solution for Navier-Stokes equations. Because these are highly non linear coupled partial differential equations. The only way left is numerical method. This text provides an application oriented introduction to the numerical methods for partial differential equations.