FESSDE, a program for the finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations

Main Author: CPC, Mendeley
Other Authors: Abrashkevich, A.G., Abrashkevich, D.G., Kaschiev, M.S., Puzynin, I.V.
Format: Dataset
Terbitan: Mendeley , 1995
Subjects:
Online Access: https:/data.mendeley.com/datasets/637kvpm88f
ctrlnum 0.17632-637kvpm88f.1
fullrecord <?xml version="1.0"?> <dc><creator>CPC, Mendeley</creator><title>FESSDE, a program for the finite-element solution of the coupled-channel Schr&#xF6;dinger equation using high-order accuracy approximations </title><publisher>Mendeley</publisher><description>Abstract A FORTRAN 77 program is presented which solves the Sturm-Liouville problem for a system of coupled second-order differential equations by the finite element method using high-order accuracy approximations. The analytical and tabular forms of giving the coefficients of differential equations are considered. Zero-value (Dirichlet) and zero-gradient (Neumann) boundary conditions are also considered. Title of program: FESSDE Catalogue Id: ACVU_v1_0 Nature of problem Coupled second-order differential equations of the form &lt;PRE&gt; d dY(x) - -- [P(x)-----] + [U(x) - lambdaR(x)]Y(x) = 0, x contained in [a,b], dx dx with boundary conditions dY(x)| Y(a) = 0 or -----| = 0, dx |x=a dY(x)| Y(b) = 0 or -----| = 0, dx |x=b &lt;/PRE&gt; are solved. Here lambda is an eigenvalue, Y(x) is an eigenvector, P(x), U(x) and R(x) are symmetrical matrices, P(x) is a diagonal matrix, elements of which are the differentiable functions on a given interval [a,b], and R(x) is a positive matr ... Versions of this program held in the CPC repository in Mendeley Data ACVU_v1_0; FESSDE; 10.1016/0010-4655(94)00107-D ACVU_v2_0; FESSDE 2.2; 10.1016/S0010-4655(98)00099-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)</description><subject>Computational Physics</subject><subject>Computational Method</subject><contributor>Abrashkevich, A.G.</contributor><contributor>Abrashkevich, D.G.</contributor><contributor>Kaschiev, M.S.</contributor><contributor>Puzynin, I.V.</contributor><type>Other:Dataset</type><identifier>10.17632/637kvpm88f.1</identifier><rights>Computer Physics Communications Journal Licence</rights><rights>https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-license/cpc-license/</rights><relation>https:/data.mendeley.com/datasets/637kvpm88f</relation><date>1995-01-01T12:00:00Z</date><recordID>0.17632-637kvpm88f.1</recordID></dc>
format Other:Dataset
Other
author CPC, Mendeley
author2 Abrashkevich, A.G.
Abrashkevich, D.G.
Kaschiev, M.S.
Puzynin, I.V.
title FESSDE, a program for the finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations
publisher Mendeley
publishDate 1995
topic Computational Physics
Computational Method
url https:/data.mendeley.com/datasets/637kvpm88f
contents Abstract A FORTRAN 77 program is presented which solves the Sturm-Liouville problem for a system of coupled second-order differential equations by the finite element method using high-order accuracy approximations. The analytical and tabular forms of giving the coefficients of differential equations are considered. Zero-value (Dirichlet) and zero-gradient (Neumann) boundary conditions are also considered. Title of program: FESSDE Catalogue Id: ACVU_v1_0 Nature of problem Coupled second-order differential equations of the form <PRE> d dY(x) - -- [P(x)-----] + [U(x) - lambdaR(x)]Y(x) = 0, x contained in [a,b], dx dx with boundary conditions dY(x)| Y(a) = 0 or -----| = 0, dx |x=a dY(x)| Y(b) = 0 or -----| = 0, dx |x=b </PRE> are solved. Here lambda is an eigenvalue, Y(x) is an eigenvector, P(x), U(x) and R(x) are symmetrical matrices, P(x) is a diagonal matrix, elements of which are the differentiable functions on a given interval [a,b], and R(x) is a positive matr ... Versions of this program held in the CPC repository in Mendeley Data ACVU_v1_0; FESSDE; 10.1016/0010-4655(94)00107-D ACVU_v2_0; FESSDE 2.2; 10.1016/S0010-4655(98)00099-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)
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