Title:
Exploiting symmetry in applied and numerical analysis
Series:
Lectures in applied mathematics ; 29
Publication Information:
Providence, R.I. : American Mathematical Society, 1993
ISBN:
9780821811344
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003070822 | QA297 E96 1993 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Symmetry plays an important role in theoretical physics, applied analysis, classical differential equations, and bifurcation theory. Although numerical analysis has incorporated aspects of symmetry on an ad hoc basis, there is now a growing collection of numerical analysts who are currently attempting to use symmetry groups and representation theory as fundamental tools in their work. This book contains the proceedings of an AMS-SIAM Summer Seminar in Applied Mathematics, held in 1992 at Colorado State University. The seminar, which drew about 100 scientists from around the world, was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. The papers in this volume have been refereed and will not be published elsewhere.
Table of Contents
| Hidden symmetries of nonlinear ordinary differential equationsB. Abraham-Shrauner and P. G. L. Leach |
| Liapunov-Schmidt reduction for a bifurcation problem with periodic boundary conditions on a square domainE. Allgower and P. Ashwin and K. Bohmer and Z. Mei |
| Exploiting permutation symmetries with fixed points in linear equationsE. Allgower and K. Georg and R. Miranda |
| Topological constraints for explicit symmetry breakingD. Armbruster and E. Ihrig |
| A numerical Liapunov-Schmidt method for finitely determined problemsP. Ashwin and K. Bohmer and Z. Mei |
| Exploiting and detecting space-time symmetriesN. Aubry and W. Lian |
| Lattice periodic solutions with local gauge symmetryE. Barany |
| An overview of potential symmetriesG. Bluman |
| On the computation of strains and stresses in symmetrical articulated structuresA. Bossavit |
| Symmetry considerations in the numerical analysis of bifurcation sequencesF. H. Busse and R. M. Clever |
| On the existence of rotating waves in a steady-state bifurcation problem with $O(3)$ symmetryP. Chossat and E. Protte |
| Dynamics of waves in extended systemsG. Dangelmayr and J. D. Rodriguez and W. Guttinger |
| The equivariant Darboux theoremM. Dellnitz and I. Melbourne |
| Invariant boundary conditions for the generalized diffusion equationsM. J. Englefield |
| The power of the generalized Schur's lemmaA. Fassler |
| Computation of bifurcation graphsK. Gatermann |
| Caustics in optimal control: An example of bifurcation when the symmetry is brokenZ. Ge |
| Symmetry aspects in numerical linear algebra with applications to boundary element methodsK. Georg and R. Miranda |
| Numerical results on the zeros of Faber polynomials for $m$-fold symmetric domainsM. He |
| SYMMGRP.MAX and other symbolic programs for Lie symmetry analysis of partial differential equationsW. Hereman |
| A manifold solver with bifurcation and symmetryB. Hong |
| How to use symmetry to find models for multidimensional conservation lawsB. L. Keyfitz and M. Lopes-Filho |
| Semilinear elliptic equations in cylindrical domains-reversibility and its breakingK. Kirchgassner and K. Lankers |
| Symmetry in rotating plane Couette-Poiseuille flowG. H. Knightly and D. Sather |
| On uniformly rotating fluid drops trapped between two parallel platesH.-P. Kruse and J. E. Marsden and J. Scheurle |
| The symmetry group of the integro-partial differential equations of Poisson-VlasovP. J. A. J. Lambert |
| Explicit symplectic splitting methods applied to PDE'sR. I. McLachlan |
| Symmetric capillary surfaces in a cube Part 2. Near the limit angleH. D. Mittelmann |
| Factorization and completely integrable systemsD. H. Sattinger and J. S. Szmigielski |
| Hopf/steady-state mode interaction for a fluid conveying elastic tube with ${{\mathbf D}}_3$-symmetric supportA. Steindl |
| Dependence of bifurcation structures on the approximation of $\textnormal{{O}}(2)$ symmetryE. Stone and M. Kirby |
| A generalization of the discrete Fourier transformationJ. Tausch |
| Symmetry methods in symmetry-broken systemsE. Van |
| Groesen Numerical experience with exploiting symmetry groups for boundary element methodsJ. Walker |
| On the shape of solutions for a nonlinear Neumann problem in symmetric domainsZ.-Q. Wang |
| The numerical analysis of bifurcation problems with symmetries based on bordered JacobiansB. Werner |
