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Numerical Methods for Nonlinear Elliptic Differential Equations
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Numerical Methods for Nonlinear Elliptic Differential Equations: A Synopsis

Klaus Boehmer

Abstract

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, and create an exciting interplay. Other books discuss nonlinearity by a very few important examples. This is the first and only book, proving in a systematic and unifying way, stability and convergence results and methods for solving nonlinear discrete equations via discrete Newton methods for the different numerical methods for all these problems. The proofs use linearization, compact perturbation of the coercive principal parts, or monotone operator techniques, and approximation theory. T ... More

Keywords: nonlinear elliptic problems, linearization, analytic results, compact perturbation, systematic convergence, unifying convergence, discontinuous Galerkin, difference methods, wavelet methods, discretized equations, eigenvalue problems, monotone operator techniques, quadrature

Bibliographic Information

Print publication date: 2010 Print ISBN-13: 9780199577040
Published to Oxford Scholarship Online: January 2011 DOI:10.1093/acprof:oso/9780199577040.001.0001

Authors

Affiliations are at time of print publication.

Klaus Boehmer, author
University of Marburg

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