Mesh Methods
Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solu...
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| Định dạng: | Online |
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| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Những chủ đề: | |
| Truy cập trực tuyến: | ONIX_20210501_9783036503769_269 |
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| _version_ | 1869516777453518848 |
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| collection | Directory of Open Access Books |
| description | Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. Of particular interest are new methods for solving boundary value problems with singularities, the complex geometry of the domain boundary and nonlinear equations. A part of the articles is devoted to the analysis of numerical methods developed for calculating mathematical models in various fields of applied science and engineering applications. As a rule, the ideas of symmetry are present in the design schemes and make the process harmonious and efficient. |
| format | Online |
| id | doab-20.500.12854ir-68523 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-685232024-03-30T12:51:03Z Mesh Methods Rukavishnikov, Viktor A. Lima, Pedro M. Badriev, Ildar B. high-order methods Brinkman penalization discontinuous Galerkin methods embedded geometry high-order boundary IMEX Runge–Kutta methods boundary value problems with degeneration of the solution on entire boundary of the domain the method of finite elements special graded mesh multigrid methods Hermitian/skew-Hermitian splitting method skew-Hermitian triangular splitting method strongly non-Hermitian matrix lie symmetries invariantized difference scheme numerical solutions finite integration method shifted Chebyshev polynomial direct and inverse problems Volterra integro-differential equation Tikhonov regularization method quartic spline triangulation scattered data continuity surface reconstruction positivity-preserving interpolation jaw crusher symmetrical laser cladding path FEPG wear thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. Of particular interest are new methods for solving boundary value problems with singularities, the complex geometry of the domain boundary and nonlinear equations. A part of the articles is devoted to the analysis of numerical methods developed for calculating mathematical models in various fields of applied science and engineering applications. As a rule, the ideas of symmetry are present in the design schemes and make the process harmonious and efficient. 2021-05-01T15:11:55Z 2021-05-01T15:11:55Z 2021 book ONIX_20210501_9783036503769_269 9783036503769 9783036503776 https://directory.doabooks.org/handle/20.500.12854/68523 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3544 https://mdpi.com/books/pdfview/book/3544 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0377-6 10.3390/books978-3-0365-0377-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036503769 9783036503776 128 Basel, Switzerland open access |
| spellingShingle | high-order methods Brinkman penalization discontinuous Galerkin methods embedded geometry high-order boundary IMEX Runge–Kutta methods boundary value problems with degeneration of the solution on entire boundary of the domain the method of finite elements special graded mesh multigrid methods Hermitian/skew-Hermitian splitting method skew-Hermitian triangular splitting method strongly non-Hermitian matrix lie symmetries invariantized difference scheme numerical solutions finite integration method shifted Chebyshev polynomial direct and inverse problems Volterra integro-differential equation Tikhonov regularization method quartic spline triangulation scattered data continuity surface reconstruction positivity-preserving interpolation jaw crusher symmetrical laser cladding path FEPG wear thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries Mesh Methods |
| title | Mesh Methods |
| title_full | Mesh Methods |
| title_fullStr | Mesh Methods |
| title_full_unstemmed | Mesh Methods |
| title_short | Mesh Methods |
| title_sort | mesh methods |
| topic | high-order methods Brinkman penalization discontinuous Galerkin methods embedded geometry high-order boundary IMEX Runge–Kutta methods boundary value problems with degeneration of the solution on entire boundary of the domain the method of finite elements special graded mesh multigrid methods Hermitian/skew-Hermitian splitting method skew-Hermitian triangular splitting method strongly non-Hermitian matrix lie symmetries invariantized difference scheme numerical solutions finite integration method shifted Chebyshev polynomial direct and inverse problems Volterra integro-differential equation Tikhonov regularization method quartic spline triangulation scattered data continuity surface reconstruction positivity-preserving interpolation jaw crusher symmetrical laser cladding path FEPG wear thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries |
| topic_facet | high-order methods Brinkman penalization discontinuous Galerkin methods embedded geometry high-order boundary IMEX Runge–Kutta methods boundary value problems with degeneration of the solution on entire boundary of the domain the method of finite elements special graded mesh multigrid methods Hermitian/skew-Hermitian splitting method skew-Hermitian triangular splitting method strongly non-Hermitian matrix lie symmetries invariantized difference scheme numerical solutions finite integration method shifted Chebyshev polynomial direct and inverse problems Volterra integro-differential equation Tikhonov regularization method quartic spline triangulation scattered data continuity surface reconstruction positivity-preserving interpolation jaw crusher symmetrical laser cladding path FEPG wear thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries |
| url | ONIX_20210501_9783036503769_269 |