| Numerical Solutions of Partial Differential Equations 2009 Edition Contributor(s): Bertoluzza, Silvia (Author), Falletta, Silvia (Author), Russo, Giovanni (Author) |
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ISBN: 3764389397 ISBN-13: 9783764389390 Publisher: Birkhauser OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: December 2008 Annotation: This volume contains three sets of revised and augmented notes prepared by the authors for the Advanced School on Numerical Solutions of Partial Differential Equations held at the Centre de Recerca MatemA tica in November 2007. The book is aimed at master students, PhD students, recent PhD doctorates, and researchers in general willing to update their research skills with recent developments on numerical techniques that play an important role in the international scene. The text offers to researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and/or to get in touch with state-of-art numerical techniques that are not covered in usual books. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Systems - Mathematics | Differential Equations - General - Mathematics | Numerical Analysis |
| Dewey: 515.353 |
| LCCN: 2008940758 |
| Series: Advanced Courses in Mathematics: CRM Barcelona |
| Physical Information: 0.6" H x 6.7" W x 9.3" (1.15 lbs) 202 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |