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[Band] 3 Adaptive Lösung partieller Differentialgleichungen
-
Peter Deuflhard
Language:
German
Published/Copyright:
2011
About this book
This textbook expands the standard work on numerical mathematics to include the numerics of partial differential equations. The volume is intended for students of mathematics as well as physicists, chemists and engineers who are confronted with finding efficient solutions for complex application problems.
- Volume 3 of the standard work on the numerics of partial differential equations
- Covers efficiency of numerical algorithms and scientific computing
- Elementary and understandable presentation of mathematical theory
- In-depth mathematical tools in the appendices
Author / Editor information
Peter Deuflhard and Martin Weiser, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany.
Topics
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Frontmatter
I -
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Vorwort
V -
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Inhaltsverzeichnis
VII -
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Überblick
1 -
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1 Elementare partielle Differentialgleichungen
5 -
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2 Partielle Differentialgleichungen in Naturwissenschaft und Technik
36 -
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3 Differenzenmethoden für Poisson-Probleme
65 -
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4 Galerkin-Methoden
89 -
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5 Numerische Lösung linearer elliptischer Gittergleichungssysteme
149 -
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6 Konstruktion adaptiver hierarchischer Gitter
205 -
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7 Adaptive Mehrgittermethoden für lineare elliptische Probleme
251 -
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8 Adaptive Lösung nichtlinearer elliptischer Randwertprobleme
315 -
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9 Adaptive Integration parabolischer Anfangsrandwertprobleme
338 -
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A Anhang
391 -
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Software
410 -
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Literatur
412 -
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Index
426
Publishing information
Pages and Images/Illustrations in book
eBook published on:
February 28, 2011
eBook ISBN:
9783110218039
Pages and Images/Illustrations in book
Front matter:
10
Main content:
432
Other:
Zahlr. Abb.
eBook ISBN:
9783110218039
Keywords for this book
Partial Differential Equation; Numerical Mathematics; Adaptive Method; Finite Difference Scheme; Finite Element Method
Audience(s) for this book
Students and Lecturers in Mathematics, Physics, and Engineering; Libraries
