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Graduate Texts in Physics

Computational Methods in Physics

Compendium for Students

Authors: Širca, Simon, Horvat, Martin

  • Explains core numerical methods a physicist should know or be aware of
  • Shows how to control errors, stability, and convergence
  • Supports learning with comprehensive physics- and engineering-motivated examples and end-of-chapter problems
  • Is completed by numerous appendices with additional topics and hints on how to increase programming efficiency
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Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-78619-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • Due: July 17, 2018
  • ISBN 978-3-319-78618-6
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools.

 

The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.


About the authors

Simon Širca was born on February 27, 1969, in Ljubljana, Slovenia. He is Professorof Physics at the Faculty of Mathematics and Physics, University of Ljubljana, wherehe has been teaching courses on Probability for Physicists, Computational Physics andModel Analysis. He is head of the research group Structure of Hadronic Systems activein the OOPS and BLAST Collaborations at MIT, Hall A Collaboration at Thomas Jef-ferson National Accelerator Facility (USA) and the A1 Collaboration at MAMI in Mainz(Germany). His main research field is the study of hadronic structure and dynamics byscattering of electrons on light nuclei, exploiting polarized beams, polarized targets, andrecoil polarimetry. He is also involved in theoretical work on quark models of hadrons,with a focus on electroweak processes.
Martin Horvat was born on April 25, 1977, in Maribor, Slovenia. He is Assistant Pro-fessor at the Faculty of Mathematics and Physics, University of Ljubljana, where he hasled the Physical Laboratory Course and taught Basic Applied Mathematics and PhysicsI and II. His research work is devoted to classical and quantum non-linear dynamics,to transport properties in extended systems, to the quantum-classical correspondence, totheoretical and applied aspects of quantum mechanics on the classical phase space, as wellas to statistical mechanics and its origin in dynamics. He is also involved in the researchof relativistic global navigation satellite systems and in modeling of astrophysical bodies,mainly eclipsing binary stars and synthesis of their observables.

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Table of contents (12 chapters)

  • Basics of Numerical Analysis

    Širca, Simon (et al.)

    Pages 1-61

    Preview Buy Chapter 30,19 €
  • Solving Non-linear Equations

    Širca, Simon (et al.)

    Pages 63-119

    Preview Buy Chapter 30,19 €
  • Matrix Methods

    Širca, Simon (et al.)

    Pages 121-186

    Preview Buy Chapter 30,19 €
  • Transformations of Functions and Signals

    Širca, Simon (et al.)

    Pages 187-247

    Preview Buy Chapter 30,19 €
  • Statistical Analysis and Modeling of Data

    Širca, Simon (et al.)

    Pages 249-324

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-78619-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • Due: July 17, 2018
  • ISBN 978-3-319-78618-6
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Computational Methods in Physics
Book Subtitle
Compendium for Students
Authors
Series Title
Graduate Texts in Physics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-78619-3
DOI
10.1007/978-3-319-78619-3
Hardcover ISBN
978-3-319-78618-6
Series ISSN
1868-4513
Edition Number
2
Number of Pages
XXIV, 880
Number of Illustrations and Tables
248 b/w illustrations, 20 illustrations in colour
Topics