عنوان

Computational methods in physics :

(Number (ISBN

3319786199

(Number (ISBN

9783319786193

Erroneous ISBN

3319786180

Erroneous ISBN

9783319786186

Title Proper

Computational methods in physics :

General Material Designation

[Book]

Other Title Information

compendium for students /

First Statement of Responsibility

Simon Širca, Martin Horvat.

Edition Statement

Second edition.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xxiv, 880 pages) :

Other Physical Details

illustrations (some color)

Series Title

Graduate texts in physics,

ISSN of Series

1868-4513

Text of Note

Includes bibliographical references and index.

Text of Note

Basics of numerical analysis -- Solution of nonlinear equations -- Matrix methods -- Transformations of functions and signals -- Statistical description and modeling of data -- Modeling and analysis of time series -- Initial-value problems for ordinary differential equations -- Boundary-value problems for ordinary differential equations -- Difference methods for one-dimensional partial differential equations -- Difference methods for partial differential equations in more than one dim -- Spectral methods for partial differential equations -- Inverse methods.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319786193

International Standard Book Number

9783319786186

Mathematical physics.

Computers-- Computer Science.

Mathematical physics.

Mathematical physics.

Mathematics-- Applied.

Maths for engineers.

Maths for scientists.

Quantum & theoretical chemistry.

Science-- Chemistry-- Physical & Theoretical.

Science-- Mathematical Physics.

PHU

SCI040000

Number

Edition

Class number

Širca, Simon

Horvat, Martin

Date of Transaction

20200823113551.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y