Peter Knabner, Lutz Angerman,
«Numerical Methods for Elliptic and Parabolic Partial Differential Equations»
Springer
ISBN 038795449X 2003 Year PDF 2,31 Mb 415 Pages
This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume and finite element methods; solution methods for linear and nonlinear systems of equations and grid generation.The book takes account of both the theory and implementation, providing simultaneously both a rigorous and an inductive presentation of the technical details. It contains modern topics such as adaptive methods, multilevel methods and methods for convection-dominated problems. Detailed illustrations and extensive exercises are included.
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