Comparison of direct to shooting enclosures for an inverse-monotone boundary value problem with locally steep solution

DOI10.1007/BF02684404zbMath0884.34030MaRDI QIDQ1365540

E. Adams, Katharina Baumann, Christian Grossmann

Publication date: 4 September 1997

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

shooting methodsmonotone methodsenclosure methodsmonotone discretizationinverse-monotone boundary value problemsemiconductor theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Circuits, networks (94C99) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Uses Software

• PASCAL-XSC

Cites Work

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• Operator inequalities
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• Collocation for Singular Perturbation Problems III: Nonlinear Problems without Turning Points
• On Numerical Differential Algebraic Problems with Application to Semiconductor Device Simulation
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