Stability of W-methods with applications to operator splitting and to geometric theory

Applied Numerical Mathematics

Volumn 42, Issue 1-3, 2002, Pages 353-366

  Ostermann, Alexander ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Geometric theory; Implicit explicit schemes; Linearly implicit Runge Kutta methods; Operator splitting; Parabolic problems; Stability; W methods

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; RUNGE KUTTA METHODS;

GEOMETRIC THEORY; OPERATOR SPLITTING;

INITIAL VALUE PROBLEMS;

EID: 0036680042     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00160-X     Document Type: Conference Paper

References (19)

1. Implicit-explicit multistep methods for quasilinear parabolic equations
2. Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
3. Convergence of a splitting method of high order for reaction-diffusion systems
4. Backward Euler discretization of fully nonlinear parabolic problems
5. Geometric theory of semilinear parabolic equations
6. Trapezoidal and midpoint splittings for initial-boundary value problems
7. Error bounds for exponential operator splitting
8. Semidiscretization in time for parabolic problems
9. Linearly implicit time discretization of nonlinear parabolic equations
10. Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization
11. On error estimates for the Trotter-Kato product formula
12. Non-smooth data error estimates for linearly implicit Runge-Kutta methods
13. Stability of the Peaceman-Rachford approximation
14. W-methods for semilinear parabolic equations
15. Perturbation theory for infinite dimensional dynamical systems