Bifurcation Problems and their Numerical Solution: Workshop on Bifurcation Problems and their Numerical Solution Dortmund, January 15β17, 1980
β Scribed by Hans Detlef Mittelmann, Helmut Weber (auth.), H. D. Mittelmann, H. Weber (eds.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1980
- Tongue
- German
- Leaves
- 251
- Series
- ISNM: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / SΓ©rie internationale dβAnalyse numΓ©rique 54
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages I-VII
Numerical Methods for Bifurcation Problems β A Survey and Classification....Pages 1-45
On Discretizations of Bifurcation Problems....Pages 46-73
Ober Ein Rayleigh-Ritz-Verfahren zur Bestimmung Kritischer Werte....Pages 74-91
Pointwise Error Bounds for the Solutions of Nonlinear Boundary Value Problems....Pages 92-102
Interactions of Hopf and Pitchfork Bifurcations....Pages 103-134
The Convergence of Approximations to Nonlinear Equations at Simple Turning Points....Pages 135-146
Computation of Turning Points of the Stationary Navier-Stokes Equations Using Mixed Finite Elements....Pages 147-162
Programme zur Numerischen Behandlung von Verzweigungsproblemen bei Nichtlinearen Gleichungen und Differentialgleichungen....Pages 163-175
Lower Bounds for Critical Parameters in Exothermic Reactions....Pages 176-184
Shooting Methods for Bifurcation Problems in Ordinary Differential Equations....Pages 185-210
Turning Points of Branches of Positive Solutions....Pages 211-226
Eine Numerische Behandlung von PrimΓ€ren Bifurkationszweigen....Pages 227-243
β¦ Subjects
Science, general
π SIMILAR VOLUMES
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate num
Contains brief text of numerical solution of transcendental and polynomial equations, system of linear algebraic equations and eigenvalue problems, interpolation and approximation, differentiation and integration, ordinary differential equations and complete solutions to about 300 problems.
"Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach