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A Method for Calculating Invariant Subspaces of Symmetric Hyperbolic Equations
 

Summary: A Method for Calculating Invariant Subspaces
of Symmetric Hyperbolic Equations
S.K. Godunov, O.B. Feodoritova, V.T. Zhukov
Sobolev Inst. of Mathematics, Siberian Branch of the Russian Academy of Sciences,
Acad. Koptyug av., 4, Novosibisk,630090,Russia, godunov@math.nsc.ru
Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Miusskaya sq., 4,
Moscow, 125047, Russia, feodor@kiam.ru, zhukov@kiam.ru
NWO - RFBR, Twente University, February 19-23, 2007
Outlines
Hyperbolic systems. Examples:
the acoustic equations, the Maxwell equations.
Problem Statement:
Invariant Subspaces (Eigenspaces) of Hyperbolic Systems.
Related diculties: zero eigenvalue of innite multiplicity
Model problem for 2D acoustic equations.
Discretization and discrete operators.
Short description of the iterative algorithm.
Results of computations.
Hyperbolic systems
Linear hyperbolic system in d-dimensional space Rd:

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering