Author: Ely M. GelbardPublisher:
ISBN:
Category : Convex geometry
Languages : en
Pages : 18
Book Description
Applications of the Simplified Spherical Harmonics Equations in Spherical Geometry
Author: Ely M. GelbardPublisher:
ISBN:
Category : Convex geometry
Languages : en
Pages : 18
Book Description
Geometric Applications of Fourier Series and Spherical Harmonics
Author: H. GroemerPublisher: Cambridge University Press
ISBN: 0521473187
Category : Mathematics
Languages : en
Pages : 343
Book Description
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.
Comparison of Simplified and Standard Spherical Harmonics in the Variational Nodal Method
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 4
Book Description
Recently, the variational nodal method has been extended through the use of the Rumyantsev interface conditions to solve the spherical harmonics (P{sub N}) equations of arbitrary odd order. In this paper, the authors generalize earlier x-y geometry work to fit the corresponding simplified spherical harmonics (SP{sub N}) equations into the variational nodal framework. Both P{sub N} and SP{sub N} approximations are implemented in the multigroup VARIANT code at Argonne National Laboratory in two and three dimensional Cartesian and hexagonal geometries. The availability of angular approximations through P5 and SP5, and of flat, linear and quadratic spatial interface approximations allows investigation of both spatial truncation and angular approximation errors. Moreover, the SP3 approximation offers a cost-effective method for reducing transport errors.
Scientific and Technical Aerospace Reports
Author: Spherical Harmonics
Author: Thomas Murray MacRobertPublisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 396
Book Description
Spherical Harmonics
Author: Thomas Murray MacRobertPublisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 378
Book Description
The Theory of Potential and Spherical Harmonics
Author: Wolfgang J. SternbergPublisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 332
Book Description
Nuclear Science and Engineering
Author: The Spherical Harmonics Approximation in General Geometry with Applications to the Thermal Equivalent Cell Problem
Author: Thomas Edward DudleyPublisher:
ISBN:
Category :
Languages : en
Pages : 146
Book Description
Keywords Index to U.S. Government Technical Reports
Author: United States. Department of Commerce. Office of Technical ServicesPublisher:
ISBN:
Category : Government publications
Languages : en
Pages : 990
Book Description