This innovative book blends both the numerical simulation and the analysis of Partial Differential Equations. This approach is thoroughly modern, and yet includes the classical topics as they should appear in a PDE course. This is one of the first texts to take this modern approach. The large quantity of well-organized exercises and projects should help students with the correct way of approaching problems in PDE's. i
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Professor Aslak Tveito is the managing director of Simula Research Laboratory. His research is focused on computing the electrical activity in the heart. Tveito is the co-author of more than 60 papers published in international peer-reviewed journals, and one textbook introducing partial differential equations. Tveito has also edited four books published internationally. Professor Hans Petter Langtangen is the director of Center for Biomedical Computing, a Norwegian Center of Excellence at Simula Research Laboratory, and a professor of computer science at the University of Oslo. His research concerns numerical methods and software tools for continuum mechanical problems. Langtangen has published more than 40 journal papers, and more than 50 peer-reviewed contributions to conference proceedings and books. He is the author of three textbooks and an a co-editor of three books. Langtangen has been an active developer of open source and commercial software systems for computational sciences. He is a member of the European Academy of Sciences and serves on the editorial board of five leading international journals. Dr. Nielsen is a research scientist at Simula Research Laboratory where he investigates whether it is possible to compute the position and size of heart infarctions from ECG recordings. He has published a number of papers on computational mathematics and during his years at Norwegian Computing Center he solved many scientific computing problems for the Norwegian oil industry. The research interests of Professor Xing Cai center around parallel numerical methods and software for solving partial differential equations. He has more than 50 peer-reviewed publications in international journals and conference proceedings.
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Taschenbuch. Zustand: Neu. Introduction to Partial Differential Equations | A Computational Approach | Aslak Tveito (u. a.) | Taschenbuch | Texts in Applied Mathematics | xv | Englisch | 2013 | Springer | EAN 9781475771725 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 105652264
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology.' - Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di erential equations. That decision is a wise one; the laws of nature are written in the language of partial di erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di erential equations would also be an advantage. Introductory courses in partial di erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli ed problems. Students who learn about viii Preface computational techniques on other courses subsequently realize the scope of partial di erential equations beyond paper and pencil. Artikel-Nr. 9781475771725
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