Author | Lang, Jens. author |
---|---|
Title | Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems [electronic resource] : Theory, Algorithm, and Applications / by Jens Lang |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-662-04484-1 |
Descript | XII, 162 p. 52 illus. online resource |
I Introduction -- II The Continuous Problem and Its Discretization in Time -- III Convergence of the Discretization in Time and Space -- IV Computational Error Estimation -- V Towards an Effective Algorithm. Practical Issues -- VI Illustrative Numerical Tests -- VII Applications from Computational Sciences -- Appendix A. Advanced Tools from Functional Analysis -- ยง1. Gelfand Triple -- ยง2. Sesquilinear Forms and Bounded Operators in Hilbert Spaces -- ยง3. Unbounded Operators in Hilbert Spaces -- ยง4. Analytic Semigroups -- ยง5. Vectorial Functions Defined on Real Intervals -- Appendix B. Consistency and Stability of Rosenbrock Methods -- ยง1. Order Conditions -- ยง2. The Stability Function -- ยง3. The Property โStiffly Accurateโ -- Appendix C. Coefficients of Selected Rosenbrock Methods -- Appendix D. Color Plates -- Table of Notations