Conjugate gradient predictor corrector method for solving large scale problems

DOI10.1090/S0025-5718-04-01689-8zbMath1062.65055OpenAlexW2051355329MaRDI QIDQ4654022

Muhammed I. Syam

Publication date: 1 March 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-04-01689-8

zbMATH Keywords

finite difference methodnumerical examplesconjugate gradient methodcontinuation methodGalerkin finite element methodEuler methodlarge scale problemssteplength control

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

Nonlinear eigenvalue problems with symmetry

Uses Software

• PLTMGC

Cites Work

• Numerical differentiation of implicitly defined space curves
• Conjugate gradient methods for continuation problems
• Continuation techniques and bifurcation problems
• The computation of fixed points and applications
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Techniques of scientific computing (Part 2)
• The modified trapezoidal rule for line integrals
• Interpolation predictors over implicitly defined curves.
• Numerical differentiation of implicitly defined curves
• Nonlinear bifurcation
• Alternative proofs of the convergence properties of the conjugate- gradient method
• MATRIX-FREE NUMERICAL CONTINUATION AND BIFURCATION^*
• PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
• Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
• Numerical analysis of continuation methods for nonlinear structural problems
• Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems
• Rate of Convergence of Several Conjugate Gradient Algorithms
• Methods of conjugate gradients for solving linear systems
• Perturbed bifurcation theory
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