Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Vasily P. Shapeev"'
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 26, Iss 3, Pp 556-572 (2022)
A new algorithm for the numerical solution of the biharmonic equation is developed. It is based on the first implemented hp-version of the least-squares collocation method (hp-LSCM) with integral collocations for a fourth-order elliptic equation in c
Externí odkaz:
https://doaj.org/article/6563e855e62e42a9bf1f3504b1cd4ce9
Autor:
Vasily A. Belyaev, Vasily P. Shapeev
Publikováno v:
Моделирование и анализ информационных систем, Vol 24, Iss 5, Pp 629-648 (2017)
The new versions of the collocations and least residuals (CLR) method of high-order accuracy are proposed and implemented for the numerical solution of the boundary value problems for PDE in the convex quadrangular domains. Their implementation and n
Externí odkaz:
https://doaj.org/article/25a9abd9147b4e9b802bafc088f4b291
Publikováno v:
Моделирование и анализ информационных систем, Vol 24, Iss 1, Pp 39-63 (2017)
In the work, we consider the problem of accelerating the iteration process of the numerical solution of boundary-value problems for partial differential equations (PDE) by the method of collocations and least residuals (CLR). To solve this problem, i
Externí odkaz:
https://doaj.org/article/758e1c60f3284f06b24594e7b033fa82
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783030268305
CASC
CASC
To increase the accuracy of computations by the method of collocations and least squares (CLS) a generalization of this method is proposed for the case of a non-uniform logically rectangular grid. The main work formulas of the CLS method on non-unifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eee33a38764071a757bf60131f80d57d
https://doi.org/10.1007/978-3-030-26831-2_28
https://doi.org/10.1007/978-3-030-26831-2_28
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783319663197
CASC
CASC
To increase the accuracy of computations by the method of collocations and least residuals (CLR) it is proposed to increase the number of degrees of freedom with the aid of the following two techniques: an increase in the number of basis vectors and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1890e46fcbda39cb40cd994c7fed9188
https://doi.org/10.1007/978-3-319-66320-3_25
https://doi.org/10.1007/978-3-319-66320-3_25
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783319456409
CASC
CASC
The computer algebra system (CAS) Mathematica has been applied for constructing the optimal iteration processes of the Gauss–Seidel type at the solution of PDE’s by the method of collocations and least residuals. The possibilities of the proposed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a1db6fb876c8041a0b98e6145cac51b
https://doi.org/10.1007/978-3-319-45641-6_30
https://doi.org/10.1007/978-3-319-45641-6_30
Publikováno v:
Advances in Materials Physics and Chemistry. :270-273
Mathematical model is formulated for description of thermophysical processes at laser welding of metal plates for the case when modifying nanoparticles of refractory compounds (nanopowder inoculators – NPI) are introduced into the weld pool. Specia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e68da0810938910224e4bcaaef25faa
https://doi.org/10.4236/ampc.2012.24b069
https://doi.org/10.4236/ampc.2012.24b069
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783319105147
CASC
CASC
In the present work, the computer algebra system (CAS) is applied for constructing a new version of the analytic-numerical method of collocations and least residuals (CLR) for solving the Burgers equation and the Korteweg–de Vries–Burgers equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf81ca286837f3244cffd554c72e61ea
https://doi.org/10.1007/978-3-319-10515-4_31
https://doi.org/10.1007/978-3-319-10515-4_31
Autor:
Grigoriy M. Drozdov, Vasily P. Shapeev
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783319105147
CASC
CASC
In the present work, a computer algebra system (CAS) is applied for constructing a new difference scheme of high-accuracy order for solving boundary-value problem for Poisson equation. The formulae of the difference scheme are constructed in the symb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e84b4c4c1d9e96e1e2198a6c1ad81c4
https://doi.org/10.1007/978-3-319-10515-4_8
https://doi.org/10.1007/978-3-319-10515-4_8
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783319022963
CASC
CASC
In the present work, the computer algebra system (CAS) is applied for constructing a new version of the method of collocations and least residuals (CLR) for solving the 3D incompressible NavierStokes equations. The CAS is employed at all stages fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfb2545cb87969846c13d9a5306ef87e
https://doi.org/10.1007/978-3-319-02297-0_31
https://doi.org/10.1007/978-3-319-02297-0_31