Mortron K.W., Mayers D. Numerical Solution of Partial Differential Equations: An Introduction

Mathematics in Science and Engineering, Volume 88. Academic Press, 1972. 204 pages. A major task of contemporary mathematical analysis is that of providing computer algorithms for the numerical solution of partial differential equations of all types. This task requires a motley mixture of methods. In this book we wish to show first that dynamic programming and invariant imbedding furnish some powerful techniques for the solution of linear elli...

Academic Press, 1991. - 344 pages. Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places...

Springer, 2006. - 320 Pages. Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.

Wiley-Interscience, 1999. - 677 pages. Incorporates the essential elements of all the numerical methods currently used in the solution of partial differential equations encountered in science and engineering. Considers partial differential equations by their type (parabolic, elliptic, or hyperbolic), and applies all relevant numerical schemes to each type. All material included is presented free of specialized notation and terminology.

Wiley, 2011. - 512 pages. A balanced guide to the essential techniques for solving elliptic partial differential equations Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of theoretical PDEs,...

Department of Mathematics Naval Postgraduate School, 2003. - 248 pages. This course is designed to respond to the needs of the aeronautical engineering curricula by providing an applications oriented introduction to the finite difference method of solving partial differential equations arising from various physical phenomenon. This course will emphasize design, coding, and debugging programs written by the students in order to fix ideas presente...

Elsevier Science & Technology, 1983. - 688 Pages. Six invited papers on computational methods of solving partial differential equations were presented at the 1981 Conference on Numerical Solutions of Partial Differential Equations held at the University of Melbourne, Australia. They were also printed as part of the Conference Proceedings titled Numerical Solutions of Partial Differential Equations, edited by J. Noye and published by the Nort...

CRC, 1998. - 384 pages. Matrix Algebra and Solution of Matrix Equations. Introduction. Manipulation of Matrices. Solution of Matrix Equation. Program Gauss — Gaussian Elimination Method. Matrix Inversion, Determinant, and Program MatxInvD. Problems. Reference. Exact, Least-Squares, and Spline Curve-Fits. Introduction. Exact Curve Fit. Program LeastSq1 — Linear Least-Squares Curve-Fit. Program LeastSqG — Generalized Least-Squares Curve-Fit. Progr...

Cambridge University, 2009. - 490 Pages. A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs...

Wiley-Interscience, 2005. - 352 pages. Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes...