Computation of expansion coefficients in a singular harmonic problem
نویسندگان
چکیده
منابع مشابه
Recursive computation of spherical harmonic rotation coefficients of large degree
Computation of the spherical harmonic rotation coefficients or elements of Wigner’s dmatrix is important in a number of quantum mechanics and mathematical physics applications. Particularly, this is important for the Fast Multipole Methods in three dimensions for the Helmholtz, Laplace and related equations, if rotation-based decomposition of translation operators are used. In these and related...
متن کاملA new subclass of harmonic mappings with positive coefficients
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk $U$ can be written as form $f =h+bar{g}$, where $h$ and $g$ are analytic in $U$. In this paper, we introduce the class $S_H^1(beta)$, where $1<betaleq 2$, and consisting of harmonic univalent function $f = h+bar{g}$, where $h$ and $g$ are in the form $h(z) = z+sumlimits_{n=2}^inf...
متن کاملAPPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerica...
متن کاملApproximate Solutions to a Linear Dirichlet Problem with Singular Coefficients
In this paper is constructed an aproximate solution to P (x,D)G = H, G|∂Ω = F in the space of generaliaed Colombeau functions on Ω. Here P is a differential operator with coefficients which are generalized functions (for example singular distributions), Ω is a bounded open set, and H and F are generalized functions. Also, solutions to a class of elliptic equations with coefficients in G are obt...
متن کاملINVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
In this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.
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: Journal of Computational and Applied Mathematics
سال: 1987
ISSN: 0377-0427
DOI: 10.1016/0377-0427(87)90017-3