Algorithm for solving the linear Cauchy problem for large systems of ordinary differential equations with the use of parallel computations

Journal Article · Thu Dec 15 00:00:00 EST 2016 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778816080147· OSTI ID:22612566

Moryakov, A. V., E-mail: [e-mail] ^[1]

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1. National Research Centre Kurchatov Institute (Russian Federation)

An algorithm for solving the linear Cauchy problem for large systems of ordinary differential equations is presented. The algorithm for systems of first-order differential equations is implemented in the EDELWEISS code with the possibility of parallel computations on supercomputers employing the MPI (Message Passing Interface) standard for the data exchange between parallel processes. The solution is represented by a series of orthogonal polynomials on the interval [0, 1]. The algorithm is characterized by simplicity and the possibility to solve nonlinear problems with a correction of the operator in accordance with the solution obtained in the previous iterative process.

• OSTI ID: 22612566
• Journal Information: Physics of Atomic Nuclei, Vol. 79, Issue 8; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
CAUCHY PROBLEM
CORRECTIONS
DIFFERENTIAL EQUATIONS
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POLYNOMIALS
SUPERCOMPUTERS