Computing spacetime curvature via differential algebraic equations

DOI10.1016/0168-9274(95)00128-XzbMath0861.65122MaRDI QIDQ1917456

Yanyan Li

Publication date: 29 April 1997

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

zbMATH Keywords

numerical examplesdifferential-algebraic equationsmethod of linesEinstein field equationsgeneral relativityspacetime curvaturesymmetric nonrotating black holes

Mathematics Subject Classification ID

Black holes (83C57) Numerical methods for initial value problems involving ordinary differential equations (65L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems

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