TY - BOOK ID - 1985555 TI - Numerical solution of partial differential equations : an introduction AU - Morton, Keith William AU - Mayers, David Francis PY - 1994 SN - 0521429226 0521418550 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Numerical solutions of differential equations KW - Partial differential equations KW - Differential equations, Partial. KW - 519.63 KW - 681.3 *G18 KW - Numerical methods for solution of partial differential equations KW - Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) KW - Differential equations, Partial KW - Numerical solutions. KW - 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) KW - 519.63 Numerical methods for solution of partial differential equations KW - Numerical analysis KW - Numerical solutions KW - Equations aux derivees partielles KW - Methodes numeriques UR - https://www.unicat.be/uniCat?func=search&query=sysid:1985555 AB - Partial differential equations are the chief means of providing mathematical models in physics, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasize finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied.The book will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject. ER -