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00000nam a22000004a 4500 |
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1075500 |
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070911s2007 gw a b 001 0 eng |
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|a 2007931595
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|a 9783540715825 (pbk. : acid-free paper)
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|a 11541169
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|a (BNAtoc) 2007931595
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|a (OCoLC)ocn170955995
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|a (OCoLC)170955995
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| 035 |
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|a (OCoLC)185096377
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| 040 |
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|a DLC
|c DLC
|d OrLoB-B
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1 |
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|a eng
|h ger
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| 050 |
0 |
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|a QA377
|b .G76513 2007
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| 097 |
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|3 Bib#:
|a 1075500
|
| 100 |
1 |
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|a Grossmann, Christian.
|
| 240 |
1 |
0 |
|a Numerische Behandlung Partieller Differentialgleichungen.
|l English
|
| 245 |
1 |
0 |
|a Numerical treatment of partial differential equations /
|c Christian Grossmann, Hans-Görg Roos ; translated and revised by Martin Stynes.
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| 260 |
|
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|a Berlin ;
|a New York :
|b Springer,
|c c2007.
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| 300 |
|
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|a xii, 591 p. :
|b ill. ;
|c 24 cm.
|
| 440 |
|
0 |
|a Universitext
|
| 504 |
|
|
|a Includes bibliographical references (p. [571]-583) and index.
|
| 505 |
0 |
0 |
|g 1.
|t Basics --
|g 1.1.
|t Classification and Correctness --
|g 1.2.
|t Fourier's Method, Integral Transforms --
|g 1.3.
|t Maximum Principle, Fundamental Solution --
|g 2.
|t Finite Difference Methods --
|g 2.1.
|t Basic Concepts --
|g 2.2.
|t Illustrative Examples --
|g 2.3.
|t Transportation Problems and Conservation Laws --
|g 2.4.
|t Elliptic Boundary Value Problems --
|g 2.5.
|t Finite Volume Methods as Finite Difference Schemes --
|g 2.6.
|t Parabolic Initial-Boundary Value Problems --
|g 2.7.
|t Second-Order Hyperbolic Problems --
|g 3.
|t Weak Solutions --
|g 3.1.
|t Introduction --
|g 3.2.
|t Adapted Function Spaces --
|g 3.3.
|t Variational Equations and Conforming Approximation --
|g 3.4.
|t Weakening V-ellipticity --
|g 3.5.
|t Nonlinear Problems --
|g 4.
|t The Finite Element Method --
|g 4.1.
|t A First Example --
|g 4.2.
|t Finite-Element-Spaces --
|g 4.3.
|t Practical Aspects of the Finite Element Method --
|g 4.4.
|t Convergence of Conforming Methods --
|g 4.5.
|t Nonconforming Finite Element Methods --
|g 4.6.
|t Mixed Finite Elements --
|g 4.7.
|t Error Estimators and Adaptive FEM --
|g 4.8.
|t The Discontinuous Galerkin Method --
|g 4.9.
|t Further Aspects of the Finite Element Method --
|g 5.
|t Finite Element Methods for Unsteady Problems --
|g 5.1.
|t Parabolic Problems --
|g 5.2.
|t Second-Order Hyperbolic Problems --
|g 6.
|t Singularly Perturbed Boundary Value Problems --
|g 6.1.
|t Two-Point Boundary Value Problems --
|g 6.2.
|t Parabolic Problems, One-dimensional in Space --
|g 6.3.
|t Convection-Diffusion Problems in Several Dimensions --
|g 7.
|t Variational Inequalities, Optimal Control --
|g 7.1.
|t Analytic Properties --
|g 7.2.
|t Discretization of Variational Inequalities --
|g 7.3.
|t Penalty Methods --
|g 7.4.
|t Optimal Control of PDEs --
|g 8.
|t Numerical Methods for Discretized Problems --
|g 8.1.
|t Some Particular Properties of the Problems --
|g 8.2.
|t Direct Methods --
|g 8.3.
|t Classical Iterative Methods --
|g 8.4.
|t The Conjugate Gradient Method --
|g 8.5.
|t Multigrid Methods --
|g 8.6.
|t Domain Decomposition, Parallel Algorithms --
|t Bibliography: Textbooks and Monographs --
|t Bibliography: Original Papers.
|
| 650 |
|
0 |
|a Differential equations, Partial
|x Numerical solutions.
|
| 650 |
|
0 |
|a Finite differences.
|
| 650 |
|
0 |
|a Finite element method.
|
| 650 |
|
0 |
|a Numerical analysis.
|
| 700 |
1 |
|
|a Roos, Hans-Görg,
|d 1949-
|
| 700 |
1 |
|
|a Stynes, M.
|q (Martin),
|d 1951-
|
| 991 |
|
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|a 2008-03-20
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| 992 |
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|a Created by juth, 20/03/2008. Updated by juth, 23/04/2008.
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| 999 |
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|i 34476fa9-135d-5eea-982a-275a5f492875
|s 3e4eb09b-0385-541f-9a55-750ead6fd0aa
|t 0
|
| 952 |
f |
f |
|p For loan
|a University Of Canterbury
|b UC Libraries
|c EPS Library
|d EPS Library, Level 2
|t 0
|e QA 377 .G878 2007
|h Library of Congress classification
|i Book
|m AU15274853B
|
