國立虎尾科技大學 |

Computational methods in physics = compendium for students /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Computational methods in physics/ by Simon Sirca, Martin Horvat.
Reminder of title:	compendium for students /
Author:	Sirca, Simon.
other author:	Horvat, Martin.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxiv, 880 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematical physics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-78619-3
ISBN:	9783319786193

Computational methods in physics = compendium for students /
Sirca, Simon.

Computational methods in physicscompendium for students /[electronic resource] :by Simon Sirca, Martin Horvat. - 2nd ed. - Cham :Springer International Publishing :2018. - xxiv, 880 p. :ill. (some col.), digital ;24 cm. - Graduate texts in physics,1868-4513. - Graduate texts in physics..

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.

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.

ISBN: 9783319786193

Standard No.: 10.1007/978-3-319-78619-3doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Computational methods in physics = compendium for students /
LDR:03150nam a2200337 a 4500 001 927373
003 DE-He213
005 20190114141927.0
006 m d
007 cr nn 008maaau
008 190626s2018 gw s 0 eng d
020 $a 9783319786193 $q (electronic bk.)
020 $a 9783319786186 $q (paper)
024 7 $a 10.1007/978-3-319-78619-3 $2 doi
035 $a 978-3-319-78619-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .S619 2018
100 1 $a Sirca, Simon. $3 882736
245 1 0 $a Computational methods in physics $h [electronic resource] : $b compendium for students / $c by Simon Sirca, Martin Horvat.
250 $a 2nd ed.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxiv, 880 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4513
505 0 $a 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.
520 $a 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.
650 0 $a Mathematical physics. $3 527831
650 1 4 $a Physics. $3 564049
650 2 4 $a Numerical and Computational Physics, Simulation. $3 1112293
650 2 4 $a Theoretical and Computational Chemistry. $3 670313
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
650 2 4 $a Computational Science and Engineering. $3 670319
700 1 $a Horvat, Martin. $3 882737
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Graduate texts in physics. $3 882738
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-78619-3
950 $a Physics and Astronomy (Springer-11651)