Implementation of DIMSIMs for stiff differential systems

Applied Numerical Mathematics

Volumn 42, Issue 1-3, 2002, Pages 251-267

  Jackiewicz, Z ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

DIMSIMs; Local error estimation for stiff systems; Nordsieck representation; Simplified Newton iterations

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ERROR DETECTION; INTEGRATION; INTERPOLATION; ITERATIVE METHODS; NONLINEAR SYSTEMS;

DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS (DIMSIM);

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0036679991     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00154-4     Document Type: Conference Paper

References (21)

1. Diagonally-implicit multi-stage integration methods
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7. Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
8. Nonlinear optimization approach to construction of general linear methods of high order
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10. Exploiting structure in the construction of DIMSIMs
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12. Implementation of implicit formulas for the solution of ODEs
13. Error estimators for stiff differential equations
14. The Matlab ODE suite
15. The construction of an order 4 DIMSIMs for ordinary differential equations
16. General linear methods for ordinary differential equations