Numerical Solutions of Partial Differential Equations

Bertoluzza, Silvia; Falletta, Silvia; Russo, Giovanni; Shu, Chi-Wang

ISBN 10: 3764389397 / ISBN 13: 9783764389390

Editore: Birkhauser Verlag AG, 2008

Riguardo questo articolo

This book presents some of the latest developments in numerical analysis and scientific computing. Specifically, it covers central schemes, error estimates for discontinuous Galerkin methods, and the use of wavelets in scientific computing. Series: Advanced Courses in Mathematics - CRM Barcelona. Num Pages: 212 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 11. Weight in Grams: 770. . 2008. Paperback. . . . . Books ship from the US and Ireland.

Codice articolo V9783764389390

Dati bibliografici

• Titolo: Numerical Solutions of Partial Differential Equations
• Editore: Birkhauser Verlag AG
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764389397
• ISBN 13: 9783764389390
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

This book contains an expanded and smoothed version of lecture notes delivered by the authors at the Advanced School on Numerical Solutions of Partial Di?- ential Equations: New Trends and Applications, which took place at the Centre de Recerca Matem` atica (CRM) in Bellaterra (Barcelona) from November 15th to 22nd, 2007. The book has three parts. The ?rst part, by Silvia Bertoluzza and Silvia Falletta, is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of wr- ing equivalent norms for the scale of Besov spaces allows to write down some new methods.Thesecondpart,byGiovanniRusso,providesanoverviewofthemodern finite-volume and finite-difference shock-capturing schemes for systems of cons- vationandbalancelaws,with emphasisingiving auni?ed viewofsuchschemesby identifying the essential aspects of their construction. In the last part Chi-Wang Shugivesageneralintroductionto thediscontinuousGalerkinmethods forsolving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates. The school that originated these notes was born with the objective of p- viding an opportunity for PhD students, recent PhD doctorates and researchers in general in ?elds of applied mathematics and engineering to catch up with - portant developments in the ?elds and/or to get in touch with state-of-the-art numerical techniques that are not covered in usual courses at graduate level.

Dalla quarta di copertina

This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques.

The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.