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Könyv Numerical Methods for Nonlinear Elliptic Differential Equations Klaus Boehmer

Numerical Methods for Nonlinear Elliptic Differential Equations

A Synopsis

Szerző: Klaus Boehmer
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Oxford University Press
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
54 350 Ft
Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineer...

Információk a könyvről

Szerző
Klaus Boehmer
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2010
oldal
776
EAN
9780199577040
ISBN
0199577048
Enbook ID
04533381
Kiadó
Oxford University Press
Súly
1662
Méretek
172 x 252 x 46

Teljes leírás

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects. This is the first and only book to prove in a systematic and unifying way, stability, convergence and computing results for the different numerical methods for nonlinear elliptic problems. The proofs use linearization, compact perturbation of the coercive principal parts, or monotone operator techniques, and approximation theory. Examples are given for linear to fully nonlinear problems (highest derivatives occur nonlinearly) and for the most important space discretization methods: conforming and nonconforming finite element, discontinuous Galerkin, finite difference, wavelet (and, in a volume to follow, spectral and meshfree) methods. A number of specific long open problems are solved here: numerical methods for fully nonlinear elliptic problems, wavelet and meshfree methods for nonlinear problems, and more general nonlinear boundary conditions. We apply it to all these problems and methods, in particular to eigenvalues, monotone operators, quadrature approximations, and Newton methods. Adaptivity is discussed for finite element and wavelet methods. The book has been written for graduate students and scientists who want to study and to numerically analyze nonlinear elliptic differential equations in Mathematics, Science and Engineering. It can be used as material for graduate courses or advanced seminars.

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