Computational solution of nonlinear systems of equations /

Saved in:
Bibliographic Details
Imprint:Providence, R.I. : American Mathematical Society, c1990.
Description:xix, 762 p. : ill. ; 24 cm.
Language:English
Series:Lectures in applied mathematics, 0075-8485 ; v. 26
Lectures in applied mathematics (American Mathematical Society) v. 26.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1134012
Hidden Bibliographic Details
Other authors / contributors:Allgower, E. L. (Eugene L.)
Georg, Kurt
United States. Air Force. Office of Scientific Research.
National Science Foundation (U.S.)
SIAM-AMS Summer Seminar on Computational Solution of Nonlinear Systems of Equations (1988 : Colorado State University)
ISBN:0821811312
Notes:Proceedings of the 1988 SIAM-AMS Summer Seminar on Computational Solution of Nonlinear Systems of Equations, which was held July 18-29, 1988 at Colorado State University, Ft. Collins, Colorado with the support of the Air Force Office of Research and the National Science Foundation under grant no. DMS-8714141.
Includes bibliographical references.
Table of Contents:
  • Numerically stable homotopy methods without an extra dimension
  • Duality algorithms for smooth unconstrained optimization
  • Antidotes for nonintegrability of nonlinear systems: Quasi-periodic motions
  • Bifurcation into folds of infinite dimension
  • On the geometry of factorization algorithms
  • Defect corrections and mesh independence principle for operator equations and their discretizations
  • On a numerical Lyapunov-Schmidt method
  • PL approximation of manifolds and its application to implicit ODEs
  • On characterizations of superlinear convergence for constrained optimization
  • Computation of solutions of two-point boundary value problems by a simplicial homotopy algorithm
  • Computational methods for nonlinear systems of partial differential equations arising in contaminant transport in porous media
  • Low storage methods for unconstrained optimization
  • Block ABS methods for nonlinear systems of algebraic equations
  • Application of Julia-Fatou iteration theory in dielectric spectroscopy
  • An introduction to PL algorithms
  • Nonlinear convection diffusion equations and Newton-like methods
  • Convergence of the Newton-Raphson method for boundary value problems of ordinary differential equations
  • A damped-Newton method for the linear complementarity problem
  • ome superlinearly convergent methods for solving singular nonlinear equations
  • Numerical solutions of some nonlinear dispersive wave equations
  • Parametric optimization: Critical points and local minima
  • Interval arithmetic techniques in the computational solution of nonlinear systems of equations: Introduction, examples, and comparisons
  • Operator prolongation methods for nonlinear equations
  • Smooth penalty functions and continuation methods for constrained optimization
  • Application of the fast adaptive composite grid method to nonlinear partial differential equations
  • Interactive program for continuation of solutions of large systems of nonlinear equations
  • Nonlinear parametrized equations: New results for variational problems and inequalities
  • Generically nonsingular polynomial continuation
  • Polynomial continuation for mechanism design problems
  • A Lagrangian method for collisional kinetic equations
  • On the number of solutions of semilinear elliptic problems at resonance: Some numerical experiments
  • Splitting of separatrices and chaos
  • PL methods for constructing a numerical implicit function
  • Nonstandard scaling matrices in trust region methods
  • Numerical determination of breathers and forced oscillations of nonlinear wave equations
  • Numerical solutions of singular stochastic control problems in bounded intervals
  • Large least-squares problems and the need for automating the generation of adjoint codes
  • Newton-like methods for underdetermined systems
  • Sard's theorem and its improved versions in numerical analysis
  • Finite difference approximation of sparse Jacobian matrices in Newton-like methods
  • A collection of nonlinear model problems