Chebyshev and Fourier Spectral Methods
by John P. Boyd
Publisher: Dover Publications 2001
Number of pages: 611
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more.
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by Francesco Mainardi (ed.) - MDPI AG
Fractional calculus is allowing integrals and derivatives of any positive order. It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type ...
by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
by J.G. Burkill - Tata Institute of Fundamental Research
From the table of contents: Weierstrass's Theorem; The Polynomial of Best Approximation Chebyshev Polynomials; Approximations to abs(x); Trigonometric Polynomials; Inequalities, etc; Approximation in Terms of Differences.
This book is about the inverse problems that take its roots in medical imaging and similar imaging methods from geophysics. The study was motivated by the needs of non-destructive and non-intrusive methods for imaging of hidden objects.