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An introductory guide to computational methods for the solution of physics problems : with emphasis on spectral methods / George Rawitscher (1928-2018), Victo dos Santos Filho, Thiago Carvalho Peixoto.

Math/Physics/Astronomy Library QC20 .R29 2018
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Format:
Book
Author/Creator:
Rawitscher, George, author.
Santos Filho, Victo dos, author.
Peixoto, Thiago Carvalho, author.
Contributor:
Jessie A. Rodman Fund.
Language:
English
Subjects (All):
Mathematical physics.
Physical Description:
xviii, 221 pages : illustrations (some color) ; 24 cm
Place of Publication:
Cham, Switzerland : Springer Nature, [2018]
Contents:
Numerical errors
Finite difference methods
Galerkin and collocation methods
Convergence of spectral approximations
Chebyshev polynomials as basis functions
The integral equation corresponding to a differential equation
Spectral finite element method
The phase-amplitude representation of a wave function
The vibrating string
Iteratively calculated eigenvalues
Sturmian functions
Solutions of a third-order differential equation
Conclusions
Appendix A: The MATLAB codes for 'wave'
Appendix B: MATLAB codes for the derivative matrix.
Notes:
Includes bibliographical references and index.
Local Notes:
Acquired for the Penn Libraries with assistance from the Jessie A. Rodman Fund.
ISBN:
9783319427027
3319427024
OCLC:
1076493940
Publisher Number:
99978887171

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