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Multichannel scattering problem as a nonlinear boundary value problem; Mnogokanal`naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi

Abstract

Computational scheme for solving the scattering problem based on its representation as a nonlinear boundary value problem for a multichannel case is generalized. The spline-function method and the continuous analog of Newton method including the perturbation operator are used for numerical solution of obtained nonlinear problem. The proposed scheme has an accuracy of 0(h{sup 4}), where h is a step of an uniform mesh. 16 refs.; 3 tabs.
Publication Date:
Dec 31, 1990
Product Type:
Technical Report
Report Number:
JINR-R-11-90-382
Reference Number:
SCA: 661100; PA: AIX-22:081556; SN: 91000608746
Resource Relation:
Other Information: PBD: 1990
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCATTERING; BOUNDARY-VALUE PROBLEMS; NONLINEAR PROBLEMS; NEWTON METHOD; NUMERICAL SOLUTION; SPLINE FUNCTIONS; WAVE FUNCTIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10104744
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation
Country of Origin:
USSR
Language:
Russian
Other Identifying Numbers:
Other: ON: DE92609057; TRN: SU9107777081556
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Zhanlav, T, and Puzynin, I V. Multichannel scattering problem as a nonlinear boundary value problem; Mnogokanal`naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi. USSR: N. p., 1990. Web.
Zhanlav, T, & Puzynin, I V. Multichannel scattering problem as a nonlinear boundary value problem; Mnogokanal`naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi. USSR.
Zhanlav, T, and Puzynin, I V. 1990. "Multichannel scattering problem as a nonlinear boundary value problem; Mnogokanal`naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi." USSR.
@misc{etde_10104744,
title = {Multichannel scattering problem as a nonlinear boundary value problem; Mnogokanal`naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi}
author = {Zhanlav, T, and Puzynin, I V}
abstractNote = {Computational scheme for solving the scattering problem based on its representation as a nonlinear boundary value problem for a multichannel case is generalized. The spline-function method and the continuous analog of Newton method including the perturbation operator are used for numerical solution of obtained nonlinear problem. The proposed scheme has an accuracy of 0(h{sup 4}), where h is a step of an uniform mesh. 16 refs.; 3 tabs.}
place = {USSR}
year = {1990}
month = {Dec}
}