Artificial Intelligence Problems in Mathematical Modeling

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Abstract

The artificial intelligence problems in creating the integrated computational environment (ICE) for the mathematical modeling on the modern supercomputers are considered. The mathematical tasks to be solved present the direct and inverse interdisciplinary problems which are described by the systems of partial differential and/or integral equations in the multi-dimensional computational domains with real complicated multiscale geometry and contrast material properties. The conception of ICE consists in developing the instrumental media to support all main stages of large scale computational experiments, with a long life cycle of the products. The technical requirements for ICE include the flexible extension of the mathematical models and methods, the adaption to evolution of the computer platforms, the reusing external program products, and coordinated participation in the project of the different groups of developers. The objectives of intelligent tools consist in automatic construction of algorithms as well as generating and executing the applied software packages for the end users in particular domains.

Original languageEnglish
Title of host publicationSupercomputing - 5th Russian Supercomputing Days, RuSCDays 2019, Revised Selected Papers
EditorsVladimir Voevodin, Sergey Sobolev
PublisherSpringer Gabler
Pages505-516
Number of pages12
ISBN (Print)9783030365912
DOIs
Publication statusPublished - 1 Jan 2019
Event5th Russian Supercomputing Days Conference, RuSCDays 2019 - Moscow, Russian Federation
Duration: 23 Sep 201924 Sep 2019

Publication series

NameCommunications in Computer and Information Science
Volume1129 CCIS
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference5th Russian Supercomputing Days Conference, RuSCDays 2019
CountryRussian Federation
CityMoscow
Period23.09.201924.09.2019

Keywords

  • Artificial intelligence
  • Automatic construction of algorithms
  • Integrated computational environment
  • Knowledge base
  • Mathematical modeling
  • Numerical methods
  • Ontology of designing

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