TY - BOOK AU - Dekker, K. (Kees); Verwer, J. G. TI - Stability of runge-kutta methods for stiff nonlinear differential equations SN - 9780444876348 AV - QA372.D39 PY - 1984/// CY - Amsterdam PB - North-Holland KW - Approximation KW - Nonlinear Numerical solutions KW - Nonlinear Differential equations KW - Differential equations N1 - 1. Stiff differential equations; 2. Contractivity and stability; 3. Runge-Kutta methods; 4. Contractivity of Runge-Kutta methods; 5. Solution of the algebraic equations in Runge-Kutta schemes; 6. Contractivity of explicit methods; 7. The concept of B-convergence; 8. The concept of D-stability; 9. Runge-Kutta Rosenbrock methods; 10. Applications to partial differential euqations ER -