Stability of runge-kutta methods for stiff nonlinear differential equations

By: Dekker, K. (Kees); Verwer, J. GMaterial type: TextTextSeries: CWI MonographsPublication details: Amsterdam North-Holland 1984Description: ix, 307 pISBN: 9780444876348; 0444876340Subject(s): Approximation | Nonlinear Numerical solutions | Nonlinear Differential equations | Differential equationsLOC classification: QA372.D39
Contents:
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
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Mathematics Rack No 6 QA372.D39 (Browse shelf (Opens below)) Available 02600

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