Computational Mathematics in Engineering and Applied Science

<p>Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each including a complete analysis of a computer code written in transportable Fortran 77. Each example also includes a discussion of the problem equations, the coding of the equations, and the computed numerical solution. The benefits of using quality general-purpose library routines to solve ODE/DAE/PDE problems are illustrated as well. <br><br>This popular, classic book is a valuable reference for methodologies in numerical mathematics applicable to a broad spectrum of problems encountered across many disciplines- virtually all fields of science and engineering. It also serves as an excellent text for senior undergraduates or beginning graduate students in computational science.</p> Preface 1 The General Problems in Ordinary, Differential Algebraic and Partial Differential Equations 2 The Numerical Integration of Initial Value Ordinary Differential Equations 3 Partial Differential Equations First Order in Time 4 Partial Differential Equations First Order in Time (continued) 5 Partial Differential Equations Second and Zeroth Order in Time