Published 1985 | Version v1
Report Open

Alternating subspace iteration method for numerical solution of tree-dimensional spectral problems of mathematical physics

Creators

  • 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Serpukhov. Inst. Fiziki Vysokikh Ehnergij
  • 2. Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

Description

An alternating subspace iteration method for simultaneous calculation the smallest p eigenpairs (lambda, x) of the general algebraic problem Ax=lambdaBx is proposed. Matrices A and B symmetric, positive-definite of order N >> 1. This method is used for numerical solution of three-dimensional Schroedinger equation, that describes the energies and wave functions of the bound states for mesic molecules of hydrogen isotopes. Matrices A and B are obtained as a result of the finite element approximation of this equation. Binding energies for mesic molecules ddμ and ttμ are calculated with 10-2 eV accuracy

Availability note (English)

MF available from INIS under the Report Number.

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Additional details

Additional titles

Original title (Russian)
Метод итерации альтернирующих подпространств для численного решения некоторых трехмерных спектральных задач математической физики

Publishing Information

Imprint Pagination
15 p.
Report number
JINR-R--11-85-758

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
18010866
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
BINDING ENERGY; BOUND STATE; DEUTERONS; EIGENVALUES; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATRICES; MESIC MOLECULES; NUMERICAL SOLUTION; SCHROEDINGER EQUATION; THREE-BODY PROBLEM; THREE-DIMENSIONAL CALCULATIONS; TRITONS; WAVE FUNCTIONS
Descriptors DEC
CHARGED PARTICLES; DIFFERENTIAL EQUATIONS; ENERGY; EQUATIONS; FUNCTIONS; MANY-BODY PROBLEM; MOLECULES; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
20 refs.; 7 tabs.