A new algorithm for two-dimensional numerical continuation

DOI10.1016/0898-1221(95)00065-7zbMath0840.65037OpenAlexW2110110142MaRDI QIDQ1903762

Yanyan Li

Publication date: 30 June 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00065-7

zbMATH Keywords

algorithmmanifoldsnumerical examplescontinuationcell approximation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (6)

Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions ⋮ The computation of simplicial approximations of implicitly defined two- dimensional manifolds ⋮ The computation of simplicial approximations of implicitly defined \(p\)-dimensional manifolds ⋮ MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS ⋮ Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method ⋮ Numerical continuation methods: a perspective

Uses Software

• PITCON
• HOMPACK

Cites Work

• On the computation of multi-dimensional solution manifolds of parametrized equations
• The computation of simplicial approximations of implicitly defined two- dimensional manifolds
• Algorithm 652
• A locally parameterized continuation process
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
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