Parallel numerical computation of an analytical method for solving an inverse problem

We solve the inverse Cauchy problems for the Laplace and Poisson equations using a closed-form regularization analytical solution. The formula is written in the form of series whose terms are integrals. The discretization is done using a Gaussian quadrature, and the finite sum thus obtained is imple...

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Published inAdvanced mathematical models & applications Vol. 6; no. 2; pp. 162 - 173
Main Authors Nachaoui, Abdeljalil, Nachaoui, Mourad, Gasimov, Bayram
Format Journal Article
LanguageEnglish
Published Jomard Publishing 24.08.2021
Subjects
Computer Science
Distributed, Parallel, and Cluster Computing
Mathematics
Numerical Analysis
nverse Cauchy problem
parallelization
Message Passing Inter-face.AMS Subject Classi cation:65N21
analytical regularization solution
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ISSN2519-4445
2519-4445

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Abstract We solve the inverse Cauchy problems for the Laplace and Poisson equations using a closed-form regularization analytical solution. The formula is written in the form of series whose terms are integrals. The discretization is done using a Gaussian quadrature, and the finite sum thus obtained is implemented on distributed memory using the Message Passing Interface (MPI). A detailed study of the parallelization procedure is presented.
AbstractList We solve the inverse Cauchy problems for the Laplace and Poisson equations using a closed-form regularization analytical solution. The formula is written in the form of series whose terms are integrals. The discretization is done using a Gaussian quadrature, and the finite sum thus obtained is implemented on distributed memory using the Message Passing Interface (MPI). A detailed study of the parallelization procedure is presented.
Author Nachaoui, Abdeljalil
Gasimov, Bayram
Nachaoui, Mourad
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  givenname: Bayram
  surname: Gasimov
  fullname: Gasimov, Bayram
  organization: Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan
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Keywords nverse Cauchy problem
parallelization
Message Passing Inter-face.AMS Subject Classi cation:65N21
analytical regularization solution
Language English
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Snippet We solve the inverse Cauchy problems for the Laplace and Poisson equations using a closed-form regularization analytical solution. The formula is written in...
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SubjectTerms Computer Science
Distributed, Parallel, and Cluster Computing
Mathematics
Numerical Analysis
Title Parallel numerical computation of an analytical method for solving an inverse problem
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