Enlarging the domain of convergence for multiple shooting by the homotopy method

DOI10.1007/BF01396319zbMath0423.65047OpenAlexW2008079698MaRDI QIDQ1134501

Peter Lory

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186288

zbMATH Keywords

homotopy methoditerative processmultiple shootingnonlinear two-point-boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

Modified deflation algorithm for the solution of singular problems. II: Nonlinear multipoint boundary value problems ⋮ Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems ⋮ Statistics for Model Calibration ⋮ Branch switching in bifurcation problems for ordinary differential equations

Cites Work

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• Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
• A stepsize control for continuation methods and its special application to multiple shooting techniques
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• Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
• Numerical treatment of ordinary differential equations by extrapolation methods
• Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
• Ein Iterationsverfahren zur Lösung spezieller nichtlinearer Randwertprobleme
• Numerische Aspekte bei der Einbettung nichtlinearer Probleme
• Model of solute and water movement in the kidney.
• Uniqueness in the Schauder Fixed Point Theorem
• Quantitative Analysis of Mass and Energy Balance in Non-Ideal Models of the Renal Counterflow System
• Local Mapping Relations and Global Implicit Function Theorems
• The convergence of shooting methods

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