Computational Methods and Applications for Numerical Analysis
The present reprint contains the 20 articles accepted and published in the Special Issue “Computational Methods and Applications for Numerical Analysis” of the MDPI “Mathematics” journal, which surround the theory, algorithms, programming, software, numerical simulation, and/or novel applications of...
Bewaard in:
| Formaat: | Online |
|---|---|
| Taal: | Engels |
| Gepubliceerd in: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
|
| Onderwerpen: | |
| Online toegang: | ONIX_20230808_9783036582849_46 |
| Tags: |
Geen labels, Wees de eerste die dit record labelt!
|
| _version_ | 1869529896239235072 |
|---|---|
| collection | Directory of Open Access Books |
| description | The present reprint contains the 20 articles accepted and published in the Special Issue “Computational Methods and Applications for Numerical Analysis” of the MDPI “Mathematics” journal, which surround the theory, algorithms, programming, software, numerical simulation, and/or novel applications of computational methods to solve problems in engineering, science, and other disciplines related to computations. These topics include finite element methods, finite difference methods, meshless/meshfree methods, physics-informed neural networks, interpolation, approximation, optimization, numerical methods for ordinary/partial differential equations, etc. Their applications include crack propagation, acoustic analysis, elastodynamic analysis, free vibration analysis, structure and topology optimization, fractional equations, eigenvalue problems, inverse problems, etc. Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. It is hoped that the reprint will be interesting and useful for those working in the area of numerical analysis, as well as for those with a proper mathematical background and willing to become familiar with novel applications of computational techniques, which have rapidly developed nowadays. |
| format | Online |
| id | doab-20.500.12854ir-112540 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1125402024-03-28T03:32:30Z Computational Methods and Applications for Numerical Analysis Wang, Fajie Lin, Ji localized meshless collocation method virtual boundary element fundamental solution Laplace equations Helmholtz equations thermo-elastic structure topology optimization reliability analysis stress constraint radial basis function the shape parameter multiquadric inverse multiquadric Gaussian elastic-plastic problems incremental theory Smoothed Finite Element Method (S-FEM) Julia language parallel programming nonlinear elliptic equation doubly connected domain inverse problems two-parameter homogenization functions Brazilian disc test numerical simulation crack evolution failure mode indirect tensile strength topology optimisation piezoelectric actuator shell finite element method symmetric tridiagonal matrix eigenvalue solver matrix division parallel algorithm machine learning extrinsic embedding intrinsic surfaces Laplace–Beltrami operator meshfree numerical technique free vibration integration error numerical integration eigenvector solver clustered eigenpairs orthogonalization general Q iteration triangulations shortest edge triangle shape high-order enrichment functions numerical methods numerical dispersion transient analysis wave propagation Bernstein–Bézier coefficients quasi-interpolation type-1 triangulation Clough–Tocher split multi-dimensional fractional equations multi-term fractional equations meshless method collocation method analytic representation numerical analysis structure optimization parametric optimization GST chromium SiO2 Photovoltaic applications co-simulation defect analysis error bounds variable step-size singular boundary method Kansa’s method heterogeneous media acoustic wave soil–rock mixture lattice Boltzmann method size effect permeability global–local non-intrusive computational simulation crack growth frame elements 3D solids coupling thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The present reprint contains the 20 articles accepted and published in the Special Issue “Computational Methods and Applications for Numerical Analysis” of the MDPI “Mathematics” journal, which surround the theory, algorithms, programming, software, numerical simulation, and/or novel applications of computational methods to solve problems in engineering, science, and other disciplines related to computations. These topics include finite element methods, finite difference methods, meshless/meshfree methods, physics-informed neural networks, interpolation, approximation, optimization, numerical methods for ordinary/partial differential equations, etc. Their applications include crack propagation, acoustic analysis, elastodynamic analysis, free vibration analysis, structure and topology optimization, fractional equations, eigenvalue problems, inverse problems, etc. Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. It is hoped that the reprint will be interesting and useful for those working in the area of numerical analysis, as well as for those with a proper mathematical background and willing to become familiar with novel applications of computational techniques, which have rapidly developed nowadays. 2023-08-08T15:26:15Z 2023-08-08T15:26:15Z 2023 book ONIX_20230808_9783036582849_46 9783036582849 9783036582856 https://directory.doabooks.org/handle/20.500.12854/112540 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7666 https://mdpi.com/books/pdfview/book/7666 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8285-6 10.3390/books978-3-0365-8285-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036582849 9783036582856 418 Basel open access |
| spellingShingle | localized meshless collocation method virtual boundary element fundamental solution Laplace equations Helmholtz equations thermo-elastic structure topology optimization reliability analysis stress constraint radial basis function the shape parameter multiquadric inverse multiquadric Gaussian elastic-plastic problems incremental theory Smoothed Finite Element Method (S-FEM) Julia language parallel programming nonlinear elliptic equation doubly connected domain inverse problems two-parameter homogenization functions Brazilian disc test numerical simulation crack evolution failure mode indirect tensile strength topology optimisation piezoelectric actuator shell finite element method symmetric tridiagonal matrix eigenvalue solver matrix division parallel algorithm machine learning extrinsic embedding intrinsic surfaces Laplace–Beltrami operator meshfree numerical technique free vibration integration error numerical integration eigenvector solver clustered eigenpairs orthogonalization general Q iteration triangulations shortest edge triangle shape high-order enrichment functions numerical methods numerical dispersion transient analysis wave propagation Bernstein–Bézier coefficients quasi-interpolation type-1 triangulation Clough–Tocher split multi-dimensional fractional equations multi-term fractional equations meshless method collocation method analytic representation numerical analysis structure optimization parametric optimization GST chromium SiO2 Photovoltaic applications co-simulation defect analysis error bounds variable step-size singular boundary method Kansa’s method heterogeneous media acoustic wave soil–rock mixture lattice Boltzmann method size effect permeability global–local non-intrusive computational simulation crack growth frame elements 3D solids coupling thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Computational Methods and Applications for Numerical Analysis |
| title | Computational Methods and Applications for Numerical Analysis |
| title_full | Computational Methods and Applications for Numerical Analysis |
| title_fullStr | Computational Methods and Applications for Numerical Analysis |
| title_full_unstemmed | Computational Methods and Applications for Numerical Analysis |
| title_short | Computational Methods and Applications for Numerical Analysis |
| title_sort | computational methods and applications for numerical analysis |
| topic | localized meshless collocation method virtual boundary element fundamental solution Laplace equations Helmholtz equations thermo-elastic structure topology optimization reliability analysis stress constraint radial basis function the shape parameter multiquadric inverse multiquadric Gaussian elastic-plastic problems incremental theory Smoothed Finite Element Method (S-FEM) Julia language parallel programming nonlinear elliptic equation doubly connected domain inverse problems two-parameter homogenization functions Brazilian disc test numerical simulation crack evolution failure mode indirect tensile strength topology optimisation piezoelectric actuator shell finite element method symmetric tridiagonal matrix eigenvalue solver matrix division parallel algorithm machine learning extrinsic embedding intrinsic surfaces Laplace–Beltrami operator meshfree numerical technique free vibration integration error numerical integration eigenvector solver clustered eigenpairs orthogonalization general Q iteration triangulations shortest edge triangle shape high-order enrichment functions numerical methods numerical dispersion transient analysis wave propagation Bernstein–Bézier coefficients quasi-interpolation type-1 triangulation Clough–Tocher split multi-dimensional fractional equations multi-term fractional equations meshless method collocation method analytic representation numerical analysis structure optimization parametric optimization GST chromium SiO2 Photovoltaic applications co-simulation defect analysis error bounds variable step-size singular boundary method Kansa’s method heterogeneous media acoustic wave soil–rock mixture lattice Boltzmann method size effect permeability global–local non-intrusive computational simulation crack growth frame elements 3D solids coupling thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | localized meshless collocation method virtual boundary element fundamental solution Laplace equations Helmholtz equations thermo-elastic structure topology optimization reliability analysis stress constraint radial basis function the shape parameter multiquadric inverse multiquadric Gaussian elastic-plastic problems incremental theory Smoothed Finite Element Method (S-FEM) Julia language parallel programming nonlinear elliptic equation doubly connected domain inverse problems two-parameter homogenization functions Brazilian disc test numerical simulation crack evolution failure mode indirect tensile strength topology optimisation piezoelectric actuator shell finite element method symmetric tridiagonal matrix eigenvalue solver matrix division parallel algorithm machine learning extrinsic embedding intrinsic surfaces Laplace–Beltrami operator meshfree numerical technique free vibration integration error numerical integration eigenvector solver clustered eigenpairs orthogonalization general Q iteration triangulations shortest edge triangle shape high-order enrichment functions numerical methods numerical dispersion transient analysis wave propagation Bernstein–Bézier coefficients quasi-interpolation type-1 triangulation Clough–Tocher split multi-dimensional fractional equations multi-term fractional equations meshless method collocation method analytic representation numerical analysis structure optimization parametric optimization GST chromium SiO2 Photovoltaic applications co-simulation defect analysis error bounds variable step-size singular boundary method Kansa’s method heterogeneous media acoustic wave soil–rock mixture lattice Boltzmann method size effect permeability global–local non-intrusive computational simulation crack growth frame elements 3D solids coupling thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230808_9783036582849_46 |