Perturbation index of linear partial differential-algebraic equations

DOI10.1016/j.apnum.2004.08.017zbMath1073.35053OpenAlexW1990479408MaRDI QIDQ1772811

Joachim Rang, Lutz Angermann

Publication date: 21 April 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.017

zbMATH Keywords

weak solutionsinitial boundary value problemsPDAEsspaces of Sobolev-type

Mathematics Subject Classification ID

Linear higher-order PDEs (35G05)

Related Items

Perturbation index of linear partial differential-algebraic equations with a hyperbolic part, On the tractability index of a class of partial differential-algebraic equations, Analytical solution of a nonlinear index-three DAEs system modelling a slider-Crank mechanism, Estimation and global stability analysis of PDAEs with singular time derivative matrix and wetland conservation application, Rosenbrock-type methods applied to finite element computations within finite strain viscoelasticity, New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index, Suboptimal control of a 2D molten carbonate fuel cell PDAE model

Uses Software

• RODAS

Cites Work

• Discretization based indices for semilinear partial differential algebraic equations
• Indexes and special discretization methods for linear partial differential algebraic equations
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• The index of general nonlinear DAEs
• Index Concepts for Linear Mixed Systems of Differential-Algebraic and Hyperbolic-Type Equations
• The Index of an Infinite Dimensional Implicit System
• ICIAM/GAMM 95 Applied sciences, especially Mechanics Contributed Lecture and Poster Presentations
• A Differentiation Index for Partial Differential-Algebraic Equations
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