Elements of Scientific Computing için kapak resmi
Başlık:
Elements of Scientific Computing
Dil:
English
ISBN:
9783642112997
Yayın Bilgileri:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Fiziksel Tanımlama:
XII, 468 p. 86 illus. online resource.
Seri:
Texts in Computational Science and Engineering, 7
İçerik:
Computing Integrals.- Differential Equations: The First Steps -- Systems of Ordinary Differential Equations -- Nonlinear Algebraic Equations.- The Method of Least Squares.- About Scientific Software -- The Diffusion Equation -- Analysis of the Diffusion Equation -- Parameter Estimation and Inverse Problems. - A Glimpse of Parallel Computing -- Index.
Özet:
Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.

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Özet

Özet

Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.


Yazar Notları

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.


İncelemeler 1

İnceleme Seç

Scientific computing has as many facets as the number of fields in science and engineering that use computations to solve their arising problems. This course resource serves as an introduction to some general numerical methods that can be applicable in a number of fields, especially ones that extensively use differential equations and modeling. The text flows nicely, and Tveito (Simula Research Laboratory, Norway) and colleagues thoroughly explain different subjects in meaningful steps. In addition to exercises at the end of each chapter, an instructive "Projects" section allows readers to practice new concepts. College calculus should be sufficient for undergraduate students to follow the material; programming knowledge is not really necessary but could prove useful. The authors introduce algorithm design of numerical methods using pseudocode, and mention several programming languages, with corresponding advantages and disadvantages. Overall, this textbook is a welcome addition to a small set of books currently available in scientific computing, an expanding area for undergraduate course development in many US colleges. Summing Up: Recommended. Lower-division undergraduates through researchers/faculty. D. Papamichail University of Miami