An ESDIRK method with sensitivity analysis capabilities

This publication has 14 references indexed in Scilit:

• Design and implementation of DIRK integrators for stiff systems
  Applied Numerical Mathematics, 2003
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
  SIAM Journal on Scientific Computing, 2003
• Sensitivity analysis of differential–algebraic equations: A comparison of methods on a special problem
  Applied Numerical Mathematics, 2000
• Efficient sensitivity analysis of large-scale differential-algebraic systems
  Applied Numerical Mathematics, 1997
• Numerical methods and software for sensitivity analysis of differential-algebraic systems
  Applied Numerical Mathematics, 1996
• Interpolants for Runge-Kutta formulas
  ACM Transactions on Mathematical Software, 1986
• Displacement or Residual Test in the Application of Implicit Methods for Stiff Problems
  IMA Journal of Numerical Analysis, 1985
• Sensitivity analysis of initial value problems with mixed odes and algebraic equations
  Computers & Chemical Engineering, 1985
• Solution of Differential—Algebraic Systems Using Diagonally Implicit Runge—Kutta Methods
  IMA Journal of Numerical Analysis, 1983
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
  SIAM Journal on Numerical Analysis, 1977