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PhD Theses, Moscow, 2017
On the degree of: Candidate of Physical and Mathematical Sciences
Specialty: 05.13.11 - mathematical and software of computers, complexes and computer networks
Dissertation council: Д 002.024.01
Author: Krasnov M.M.
Grid-operator approach to programming mathematical physics problems
Abstract:
The objectives of this thesis are to develop a programming approach that allows you to compactly record and effectively implement a class of mathematical formulas and develop an experimental software package that shows the possibility of implementing this approach to solve a wide class of problems in mathematical physics. A new programming approach has been developed for the class of mathematical calculations on various types of grids, both regular and arbitrary irregular. Within the framework of the developed approach, a new system of concepts is introduced, which ensures the effective implementation of the approach. A set of software libraries has been developed that demonstrate the possibility of effective software implementation of the proposed programming approach for various types of grids.
Keywords:
grid operator, regular grids and arbitrary irregular grids, parallel platform NVIDIA CUDA, OpenMP, solving the Euler equation by the discontinuous Galerkin method, three-dimensional heat conduction problem
Publication language: russian,  страниц: 113
Research direction:
Programming, parallel computing, multimedia
Russian source text: