RWPKV: A software package for continuation and bifurcation problems in two-point boundary value problems

DOI10.1016/0893-9659(92)90112-MzbMath0743.65073MaRDI QIDQ1186969

K. Ullrich, Martin Hermann

Publication date: 28 June 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

nonlinear two-point boundary value problemsmultiple shootingNumerical examplescontinuation and bifurcation problemsnumerical software package RWPKV

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Numerical bifurcation analysis of the bipedal spring-mass model, A simple solution of the Bratu problem, Stable Running with Asymmetric Legs: A Bifurcation Approach, Tracking amplitude extrema of nonlinear frequency responses using the harmonic balance method, On the integral solution of the one-dimensional Bratu problem, MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL, Computing eigenfunctions of singular points in nonlinear parametrized two-point BVPs, Theoretical and numerical studies of nonlinear shell equations, RWPKV, MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK II: SECONDARY RESONANCE, RWPM: A software package of shooting methods for nonlinear two-point boundary value problems

Uses Software

• RWPM
• AUTO
• PITCON
• BIFPACK

Cites Work

• Numerical methods for bifurcation problems. Proceedings of the Conference at the University of Dortmund, August 22-26, 1983
• On the monotone convergence of Newton's method
• General framework, stability and error analysis for numerical stiff boundary value methods
• Continuation and Collocation for Parameter-Dependent Boundary Value Problems
• The Calculation of Turning Points of Nonlinear Equations
• The numerical treatment of non-trivial bifurcation points
• Axisymmetric buckling of hollow spheres and hemispheres
• Numerical computation of branch points in ordinary differential equations
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