Pseudo-Transient Continuation for Nonsmooth Nonlinear Equations

DOI10.1137/S0036142903431298zbMath1118.65076OpenAlexW1977833582MaRDI QIDQ5470886

Carl. T. Kelley, Kathleen R. Kavanagh

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903431298

zbMATH Keywords

convergencenumerical examplesdifferential algebraic equationssplitting methodstrust-region methodssemismooth functionsNewton-like iterative methodClarke differential

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (11)

Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints ⋮ A system of nonsmooth equations solver based upon subgradient method ⋮ Pseudo-transient continuation for nonlinear transient elasticity ⋮ Comparison of nonlinear solvers within continuation method for steady-state variably saturated groundwater flow modelling ⋮ A quasisecant method for solving a system of nonsmooth equations ⋮ A Regularized Newton-Like Method for Nonlinear PDE ⋮ An Improved Method for Solving Quasi-linear Convection Diffusion Problems on a Coarse Mesh ⋮ Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE ⋮ A Geometric Newton Method for Oja's Vector Field ⋮ Combining trust-region techniques and Rosenbrock methods to compute stationary points ⋮ Numerical methods for nonlinear equations

Uses Software

• KELLEY

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