Isospectral vibrating systems. Part 1. The spectral method
نویسندگان
چکیده
منابع مشابه
Spectral Element Method Part 1 : Numerical
SPECTRAL ELEMENT METHOD PART 1: NUMERICAL ALGORITHMS Aimé Fournier, Joseph Tribbia National Center for Atmospheri Resear h Boulder CO 80307-3000 USA fournier u ar.edu Mark A. Taylor Albuquerque NM 87108 USA www.s d.u ar.edu/ ss/staff/taylor ABSTRACT It is well known that the fast and a urate solution of the partial di erential equations (PDEs) governing geophysi al uid dynami s presents a great...
متن کاملParallelizing the Spectral Transform Method . Part
The spectral transform method is a widely-used numerical technique for solving partial diierential equations on the sphere in global climate modeling. This paper describes the parallelization and performance of the spectral method for solving the nonlinear shallow water equations on the surface of a sphere using a 128-node Intel iPSC/860 hypercube. Solving the shallow water equations represents...
متن کاملParallelizing the Spectral Transform Method . Part Iidavid
The spectral transform method is a widely-used numerical technique for solving partial diierential equations on the sphere in global climate modeling. This paper describes the parallelization and performance of the spectral method for solving the nonlinear shallow water equations on the surface of a sphere using a 128-node Intel iPSC/860 hypercube. Solving the shallow water equations represents...
متن کاملTwists and Spectral Triples for Isospectral Deformations
We construct explicitly the symmetries of the isospectral deformations as twists of Lie algebras and generalize the deformation for an arbitrary twist.
متن کاملInvariants of isospectral deformations and spectral rigidity
We introduce a notion of weak isospectrality for continuous deformations. Let us consider the Laplace-Beltrami operator on a compact Riemannian manifold with boundary with Robin boundary conditions. Given a Kronecker invariant torus Λ of the billiard ball map with a Diophantine vector of rotation we prove that certain integrals on Λ involving the function in the Robin boundary conditions remain...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.01.029