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Elements of Scientific Computing

  • Aslak Tveito
  • Hans Petter Langtangen
  • Bjørn Frederik Nielsen
  • Xing Cai

Part of the Texts in Computational Science and Engineering book series (TCSE, volume 7)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 1-29
  3. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 31-73
  4. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 75-98
  5. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 99-145
  6. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 147-193
  7. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 195-272
  8. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 273-357
  9. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 359-409
  10. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 411-421
  11. Aslak Tveito, Hans Petter Langtangen, Bjørn Frederik Nielsen, Xing Cai
    Pages 423-453
  12. Back Matter
    Pages 455-465

About this book

Introduction

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.

Keywords

differential equation differential equations inverse problems knowledge nonlinear algebraic equations parallel computing scientific computing

Authors and affiliations

  • Aslak Tveito
    • 1
  • Hans Petter Langtangen
    • 2
  • Bjørn Frederik Nielsen
    • 3
  • Xing Cai
    • 4
  1. 1.Simula Research LaboratoryUniversity of OsloLysakerNorway
  2. 2.Simula Research LaboratoryLysakerNorway
  3. 3., Dept. of Math. Sciences & TechnologyNorwegian Univ. of Life SciencesÅsNorway
  4. 4.Simula Research LaboratoryUniversity of OsloLysakerNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-11299-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-11298-0
  • Online ISBN 978-3-642-11299-7
  • Series Print ISSN 1611-0994
  • Buy this book on publisher's site