Author: Claus MüllerPublisher:
ISBN:
Category : Spherical harmonics
Languages : en
Pages : 64
Book Description
Lectures on the Theory of Spherical Harmonics
Author: Claus MüllerPublisher:
ISBN:
Category : Spherical harmonics
Languages : en
Pages : 64
Book Description
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Author: Kendall AtkinsonPublisher: Springer Science & Business Media
ISBN: 3642259820
Category : Mathematics
Languages : en
Pages : 253
Book Description
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
Spherical Harmonics
Author: Claus MüllerPublisher: Springer
ISBN: 3540371745
Category : Mathematics
Languages : en
Pages : 50
Book Description
The Theory of Potential and Spherical Harmonics
Author: Wolfgang J B 1887 SternbergPublisher: Hassell Street Press
ISBN: 9781013876356
Category :
Languages : en
Pages : 332
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Theory of Potential and Spherical Harmonics
Author: Wolfgang J. SternbergPublisher:
ISBN:
Category :
Languages : en
Pages : 312
Book Description
The Theory of Potential and Spherical Harmonics
Author: Wolfgang Sternbergthe theory of spherical and ellipsoidal harmonics
Author: E. W. HobsonPublisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 520
Book Description
Atomic Structure Theory
Author: Walter R. JohnsonPublisher: Springer Science & Business Media
ISBN: 3540680136
Category : Science
Languages : en
Pages : 318
Book Description
This book provides a hands-on experience with atomic structure calculations. Material covered includes angular momentum methods, the central field Schrödinger and Dirac equations, Hartree-Fock and Dirac-Hartree-Fock equations, multiplet structure, hyperfine structure, the isotope shift, dipole and multipole transitions, basic many-body perturbation theory, configuration interaction, and correlation corrections to matrix elements. The book also contains numerical methods for solving the Schrödinger and Dirac eigenvalue problems and the (Dirac)-Hartree-Fock equations.
Harmonic Function Theory
Author: Sheldon AxlerPublisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266
Book Description
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Lectures on Constructive Approximation
Author: Volker MichelPublisher: Springer Science & Business Media
ISBN: 0817684034
Category : Mathematics
Languages : en
Pages : 336
Book Description
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth’s or the brain’s interior. Specific topics covered include: * the advantages and disadvantages of Fourier, spline, and wavelet methods * theory and numerics of orthogonal polynomials on intervals, spheres, and balls * cubic splines and splines based on reproducing kernels * multiresolution analysis using wavelets and scaling functions This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.