A four-stage index 2 diagonally implicit Runge-Kutta method

Applied Numerical Mathematics

Volumn 40, Issue 3, 2002, Pages 415-432

  Williams, Russell ^a   Burrage, Kevin ^a   Cameron, Ian ^a   Kerr, Minnie ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING;

DIFFERENTIAL ALGEBRIC EQUATIONS (DAE);

RUNGE KUTTA METHODS;

EID: 0036467151     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00090-3     Document Type: Article

References (15)

1. Diagonally implicit Runge-Kutta methods for stiff o.d.e.'s
2. On smoothing and order reduction effects for implicit Runge-Kutta formulae
3. Order properties of implicit multivalue methods for ordinary differential equations
4. Solution of differential-algebraic systems using diagonally implicit Runge-Kutta methods
5. Solving ordinary differential equations and discontinuities
6. Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
7. The numerical solution of differential-algebraic systems by Runge-Kutta methods
8. On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems
9. Index reduction in differential-algebraic equations using dummy derivatives
10. Differential algebraic equations are not ODE's