Graduate Texts in Physics

Computational Methods in Physics

Compendium for Students

Autoren: Sirca, Simon, Horvat, Martin

Vorschau
  • 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
Weitere Vorteile

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eBook 71,68 €
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  • ISBN 978-3-319-78619-3
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
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Hardcover 128,39 €
Preis für Deutschland (Brutto)
Softcover 90,94 €
Preis für Deutschland (Brutto)
Über dieses Lehrbuch

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.


Über die Autor*innen

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.

Inhaltsverzeichnis (12 Kapitel)

Inhaltsverzeichnis (12 Kapitel)

Dieses Buch kaufen

eBook 71,68 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-78619-3
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 128,39 €
Preis für Deutschland (Brutto)
Softcover 90,94 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Computational Methods in Physics
Buchuntertitel
Compendium for Students
Autoren
Titel der Buchreihe
Graduate Texts in Physics
Copyright
2018
Verlag
Springer International Publishing
Copyright Inhaber
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
Softcover ISBN
978-3-030-08746-3
Buchreihen ISSN
1868-4513
Auflage
2
Seitenzahl
XXIV, 880
Anzahl der Bilder
248 schwarz-weiß Abbildungen, 20 Abbildungen in Farbe
Themen