A four-stage index 2 Diagonally Implicit Runge–Kutta method

This publication has 10 references indexed in Scilit:

• Stage Value Predictors and Efficient Newton Iterations in Implicit Runge--Kutta Methods
  SIAM Journal on Scientific Computing, 1998
• On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems
  Computing, 1995
• Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
  ACM Transactions on Mathematical Software, 1994
• Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
  SIAM Journal on Scientific Computing, 1993
• On smoothing and order reduction effects for implicit Runge-Kutta formulae
  Journal of Computational and Applied Mathematics, 1993
• Order Properties of Implicit Multivalue Methods for Ordinary Differential Equations
  IMA Journal of Numerical Analysis, 1988
• Solving Ordinary Differential Equations with Discontinuities
  ACM Transactions on Mathematical Software, 1984
• Solution of Differential—Algebraic Systems Using Diagonally Implicit Runge—Kutta Methods
  IMA Journal of Numerical Analysis, 1983
• Differential/Algebraic Equations are not ODE’s
  SIAM Journal on Scientific and Statistical Computing, 1982
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
  SIAM Journal on Numerical Analysis, 1977