A Parallel Jacobi--Davidson-type Method for Solving Large Generalized Eigenvalue Problems in Magnetohydrodynamics

DOI10.1137/S106482759933290XzbMath0964.65037MaRDI QIDQ4509974

Margreet Nool, Auke van der Ploeg

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

performancenumerical examplesparallel computationGMRESgeneralized eigenvalue problemJacobi-Davidson methodpartial pivotingLU decompositionArnoldi algorithmsblock-tridiagonal systemscompressed row storage strategyplasma stability in tokamaks

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Complexity and performance of numerical algorithms (65Y20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Uses Software

• CASTOR