Time-dependent Partial Differential Equations and Their Numerical Solution
Springer Basel (Verlag)
978-3-7643-6125-9 (ISBN)
1 Cauchy Problems.- 1.1 Introductory Examples.- 1.2 Well-Posedness.- 1.3 Hyperbolic Systems with Constant Coefficients.- 1.4 General Systems with Constant Coefficients.- 1.5 Linear Systems with Variable Coefficients.- 1.6 Remarks.- 2 Half Plane Problems.- 2.1 Hyperbolic Systems in One Dimension.- 2.2 Hyperbolic Systems in Two Dimensions.- 2.3 Well-Posed Half Plane Problems.- 2.4 Well-Posed Problems in the Generalized Sense.- 2.5 Farfield Boundary Conditions.- 2.6 Energy Estimates.- 2.7 First Order Systems with Variable Coefficients.- 2.8 Remarks.- 3 Difference Methods.- 3.1 Periodic Problems.- 3.2 Half Plane Problems.- 3.3 Method of Lines.- 3.4 Remarks.- 4 Nonlinear Problems.- 4.1 General Discussion.- 4.2 Initial Value Problems for Ordinary Differential Equations.- 4.3 Existence Theorems for Nonlinear Partial Differential Equations.- 4.4 Perturbation Expansion.- 4.5 Convergence of Difference Methods.- 4.6 Remarks.
Erscheint lt. Verlag | 1.4.2001 |
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Reihe/Serie | Lectures in Mathematics. ETH Zürich |
Zusatzinfo | VIII, 82 p. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 153 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Analysis | |
Schlagworte | Boundary element method • Cauchy problem • convergence • differential equation • hyperbolic system • nonlinear partial differential equation • ordinary differential equation • partial differential equation • PDE • stability |
ISBN-10 | 3-7643-6125-5 / 3764361255 |
ISBN-13 | 978-3-7643-6125-9 / 9783764361259 |
Zustand | Neuware |
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