Perturbation index of linear partial differential-algebraic equations with a hyperbolic part

DOI10.2478/s11533-006-0035-4zbMath1120.35006OpenAlexW2050900739MaRDI QIDQ2642439

Joachim Rang, Lutz Angermann

Publication date: 17 August 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0035-4

zbMATH Keywords

partial differential-algebraic equationsGårding-type inequalityperturbation indexhyperbolic part

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) PDEs of mixed type (35M10) Perturbations in context of PDEs (35B20)

Uses Software

• RODAS

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Adaptive multilevel solution of nonlinear parabolic PDE systems. Theory, algorithm, and applications
• Perturbation index of linear partial differential-algebraic equations
• Finite element methods for symmetric hyperbolic equations
• A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations
• New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index
• Index Concepts for Linear Mixed Systems of Differential-Algebraic and Hyperbolic-Type Equations
• Symmetric positive linear differential equations
• An Introduction to Fluid Dynamics
• A Differentiation Index for Partial Differential-Algebraic Equations
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