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Computational Methods in Physics - Compendium for Students (Hardcover, 2nd ed. 2018)
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Computational Methods in Physics - Compendium for Students (Hardcover, 2nd ed. 2018)
Series: Graduate Texts in Physics
Expected to ship within 9 - 17 working days
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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.
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