Linear Discrete Parabolic Problems: Volume 203 (Hardcover)

Preface.
Part I. EVOLUTION EQUATIONS IN DISCRETE TIME.
Preliminaries.
Main Results on Stability.
Operator Splitting Problems.
Equations with Memory.
Part II. RUNGE-KUTTA METHODS.
Discretization by Runge-Kutta methods.
Analysis of Stability.
Convergence Estimates.
Variable Stepsize Approximations.
Part III. OTHER DISCRETIZATION METHODS.
The/theta-method.
Methods with Splitting Operator.
Linear Multistep Methods.
Part IV. INTEGRO-DIFFERENTIAL EQUATIONS UNDER DISCRETIZATION.
Integro-Differential Equations.
APPENDIX.
A Functions of Linear Operators.
B Cauchy Problems in Banach Space.