Advances in Numerical Analysis: Nonlinear partial differential equations and dynamical systems
Clarendon Press, Aug 22, 1991 - Mathematics - 288 pages
The aim of this volume is to present research workers and graduate students in numerical analysis with a state-of-the-art survey of some of the most active areas of numerical analysis. This, and a companion volume, arise from a Summer School intended to cover recent trends in the subject. The chapters are written by the main lecturers at the School. Each is an internationally renowned expert in his respective field. This volume covers research in the numerical analysis of nonlinear phenomena: evolution equations, free boundary problems, spectral methods, and numerical methods for dynamical systems, nonlinear stability, and differential equations on manifolds.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Finite Element Methods for Evolution Equations
Finite Element Methods for Parabolic Free Bound
An Introduction to Spectral Methods for Partial
3 other sections not shown
algorithm Anal applied approximation assume asymptotically bifurcation bound boundary conditions boundary value problems branch Chebyshev coefficients collocation Comp computed consider constant constraint convergence DAEs defined denote derivative discrete domain dynamical systems eigenvalues error estimates example exists finite element method formula Fourier Galerkin method given global Hence holds homoclinic orbit hyperbolic initial value integration integro-differential interface interpolation error invariant curve iterative J. M. Sanz-Serna L. B. Wahlbin Lemma linear system mapping Math matrix Navier-Stokes equations nodes nonlinear norm numerical analysis numerical methods obtain one-step method ordinary differential equations parabolic problems parameter partial differential equations periodic orbits polynomials priori estimates proof Prove regularity result satisfies scheme Section SIAM singular smooth solution solving space spectral methods Springer stability stationary points Stefan problem TB-point Theorem theory Thomee tion trajectories transform unique variables vector