{"product_id":"9789814635110","title":"The Numerical Solution of Ordinary and Partial Differential Equations","description":"\u003cp\u003eThis book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.\u003c\/p\u003e\u003cp\u003eThe book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general  steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eDirect Solution of Linear Systems\u003c\/li\u003e\n\u003cli\u003eInitial Value Ordinary Differential Equations\u003c\/li\u003e\n\u003cli\u003eThe Initial Value Diffusion Problem\u003c\/li\u003e\n\u003cli\u003eThe Initial Value Transport and Wave Problems\u003c\/li\u003e\n\u003cli\u003eBoundary Value Problems\u003c\/li\u003e\n\u003cli\u003eThe Finite Element Methods\u003c\/li\u003e\n\u003cli\u003eAppendix A — Solving PDEs with PDE2D\u003c\/li\u003e\n\u003cli\u003eAppendix B — The Fourier Stability Method\u003c\/li\u003e\n\u003cli\u003eAppendix C — MATLAB Programs\u003c\/li\u003e\n\u003cli\u003eAppendix D — Answers to Selected Exercises\u003c\/li\u003e\n\u003c\/ul\u003e \u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Undergraduate, graduate students and researchers.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThe discussion of stability, absolute stability and stiffness in Chapter 1 is clearer than in other texts\u003c\/li\u003e\n\u003cli\u003eStudents will actually learn to write programs solving a range of simple PDEs using the finite element method in chapter 5\u003c\/li\u003e\n\u003cli\u003eIn Appendix A, students will be able to solve quite difficult PDEs, using the author's software package, PDE2D. (a free version is available which solves small to moderate sized problems)\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185356783856,"sku":"9789814635110","price":38.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814635110_p0.jpg?v=1763692180","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814635110","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}