6533b856fe1ef96bd12b2574

RESEARCH PRODUCT

On the numerical solution of some finite-dimensional bifurcation problems

H. WeberWilhelm Werner

subject

Control and OptimizationDiscretizationNumerical analysisMathematical analysisComputer Science ApplicationsShooting methodBucklingSimple (abstract algebra)Signal ProcessingBoundary value problemAnalysisEigenvalues and eigenvectorsBifurcationMathematics

description

We consider numerical methods for solving finite-dimensional bifurcation problems. This paper includes the case of branching from the trivial solution at simple and multiple eigenvalues and perturbed bifurcation at simple eigenvalues. As a numerical example we treat a special rod buckling problem, where the boundary value problem is discretized by the shooting method.

https://doi.org/10.1080/01630568108816094