Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations

Iterative Solution of Nonlinear Equations in Several Variables

E. I., J. M. Ortega, Werner C. Rheinboldt · Mathematics of Computation · 1971 · 4.5K citations

Natural Sciences, Mathematics, Differential Equations +9

Introduction to Singular Perturbations

Wolfgang Wasow, Robert E. O’Malley · Mathematics of Computation · 1975 · 955 citations

Natural Sciences, Mathematics, Physics +12

Stability of Runge–Kutta Methods for Stiff Nonlinear Differential Equations

Journal of Computational and Applied Mathematics · 1986 · 752 citations

Natural Sciences, Mathematics, Computational Mechanics +13

Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

Roger Alexander · SIAM Journal on Numerical Analysis · 1977 · 673 citations

Natural Sciences, Computational Engineering, Mathematics +13

One-step and extrapolation methods for differential-algebraic systems

Peter Deuflhard, Ernst Hairer, J. Zugck · Numerische Mathematik · 1987 · 463 citations

Natural Sciences, Mathematics, Differential Equations +9