Third order explicit method for the stiff ordinary differential equations

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1196, Issue , 1997, Pages 327-334

  Medovikov, ^a   Alexei, A ^a  

^a INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; STABILITY;

EXPLICIT METHOD; INTEGRATION PROCESS; STABILITY FUNCTION; STABILITY PROPERTIES; STABILITY REGIONS; STABILITY REQUIREMENTS; STIFF ORDINARY DIFFERENTIAL EQUATIONS; THIRD ORDER ACCURACY;

RUNGE KUTTA METHODS;

EID: 33746520746     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-62598-4_110     Document Type: Conference Paper

References (4)

1. Hairer E., Wanner G. (1991) Solving ordinary differential equations 2. Stiff problems. Springer-Verlag Berlin Heidelbers New York London Paris Tokyo.
2. Lebedev V.I., Medovikov A.A. (1995) The methods of the second order accuracy with variable time steps. Izvestiya Vuzov. Matematika. N 10. Russia.
3. P.J. van der Houwen, B.P. Sommeijer (1980) On the internal stability of explicit m-stage Runge-Kutta methods for large m-values. Z.Angew. Math. Mech. 60.
4. Lebedev V.I. (1987) Explicit difference scheams with time-variable steps for solution of stiff system of equations. Preprint DNM AS USSR N 177.