DAEs arising from traveling wave solutions of PDEs. II

DOI10.1016/S0898-1221(98)00238-7zbMath0952.34003MaRDI QIDQ1962935

Wieslaw Marszalek, Stephen L. Campbell

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsdifferential algebraic equationtraveling wave solutionsmagnetohydrodynamics

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Magnetohydrodynamics and electrohydrodynamics (76W05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Fold points and singularity induced bifurcation in inviscid transonic flow, Singular bifurcations in higher index differential-algebraic equations, Jacobian reuse in explicit integrators for higher index DAEs, Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study, The Flexibility of DAE Formulations, Discretization based indices for semilinear partial differential algebraic equations, On singular equilibria of index-1 DAEs

Uses Software

• GELDA

Cites Work

• Singular control systems
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• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• On the local qualitative behavior of differential-algebraic equations
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• The index of general nonlinear DAEs
• A New Software Package for Linear Differential-Algebraic Equations
• Orthogonal functions analysis of singular systems with impulsive responses
• A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients
• Solvability of General Differential Algebraic Equations
• Local bifurcations and feasibility regions in differential-algebraic systems
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