Bertil Gustafsson
High Order Difference Methods for Time Dependent PDE
Paperback Engels 2010 9783642094392Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform.
Specificaties
ISBN13:9783642094392
Taal:Engels
Bindwijze:paperback
Aantal pagina's:334
Uitgever:Springer Berlin Heidelberg
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Inhoudsopgave
When are High Order Methods Effective?.- Well-posedness and Stability.- Order of Accuracy and the Convergence Rate.- Approximation in Space.- Approximation in Time.- Coupled Space-Time Approximations.- Boundary Treatment.- The Box Scheme.- Wave Propagation.- A Problem in Fluid Dynamics.- Nonlinear Problems with Shocks.- to Other Numerical Methods.
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