This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.There are situations where the primary interest of continuation is to explore where the solution goes and to approach efficiently special points on the solution curve. ... for the new branch with knowledge of the current solution curve, so that Newton (chord) method corrects it towards a point on the new branch; b) Construct appropriate correctors with selective properties, e.g., symmetries of the new branch, anbsp;...
|Title||:||Numerical Bifurcation Analysis for Reaction-Diffusion Equations|
|Publisher||:||Springer Science & Business Media - 2013-03-09|