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 Jeffrey R. Chasnov - The Hong Kong University of Science & Technology
This applied mathematics text is primarily for final year mathematics major and minor students. The main emphasis is on mathematical modeling, with biology the sole application area. It is assumed that students have no knowledge of biology.
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.
by Chiara Guardasoni - Ledizioni LediPublishing
The aim of this thesis is to developed an efficient procedure for the application of BEM to transient scalar wave propagation problems, investigating the coerciveness property of the related energy functional, avoiding the frequency domain analysis.
- National Academy Press
We examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability.