Additive Runge-Kutta methods for the resolution of linear parabolic problems

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 99-117

  Bujanda, B ^a   Jorge, J C ^b  

^a UNIVERSITY OF LA RIOJA   (Spain)

^b PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Order conditions; RK additive methods

Indexed keywords

INTEGRATION; LINEAR EQUATIONS; RUNGE KUTTA METHODS;

LINEAR PARABOLIC PROBLEMS;

COMPUTATIONAL METHODS;

CONVECTION-DIFFUSION EQUATION; MATHEMATICAL METHOD;

EID: 0036503294     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00475-7     Document Type: Article

References (18)

1. Stability results for fractional step discretizations of time dependent coefficient evolutionary problems
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3. A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
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5. Additive Runge-Kutta methods for stiff ordinary differential equations
6. Trapezoidal and midpoint splittings for initial-boundary value problems
7. Contractivity results for alternating direction schemes in Hilbert spaces
8. The numerical solution of parabolic and elliptic differential equations
9. The numerical integration of Hamiltonian systems
10. The development of Runge-Kutta methods for partial differential equations