Numerical methods for engineers and scientists

Abstract

Part I Basic tools of numerical analysis: systems of linear algebraic equations eigenproblems solution of nonlinear equations polynomial approximation and interpolation numerical differention and difference formulas numerical integration. Part II Ordinary differential equations: solution of one-dimensional initial-value problems solution of one-dimensional boundary-value problems. Part III Partial differential equations: elliptic partial differential equations - the Laplace equation finite difference methods for propagation problems parabolic partial differential equations - the convection equation coordinate transformations and grid generation parabolic partial differential equations - the convection-diffusion equation hyperbolic partial differential equations - the wave equation. Appendix: the Taylor series.