Multivariate Approximation for solving ODE and PDE
This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific conten...
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| Định dạng: | Online |
|---|---|
| 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_9783039436033_1138 |
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| _version_ | 1869517202331271168 |
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| collection | Directory of Open Access Books |
| description | This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific contents of numerical methods for the analysis of the approximation, as well as the study of ordinary differential equations (for example oscillating with delay) or that of partial differential equations of the fractional order, but all linked by the objective to present analytical or numerical techniques for the simplification of the study of problems involving relationships that are not immediately computable, thus allowing to establish a connection between different fields of mathematical analysis and numerical analysis through different points of view and investigation. The present contents, therefore, describe the multivariate approximation theory, which is today an increasingly active research area that deals with a multitude of problems in a wide field of research. This book brings together a collection of inter-/multi-disciplinary works applied to many areas of applied mathematics in a coherent manner. |
| format | Online |
| id | doab-20.500.12854ir-69392 |
| 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-693922024-03-28T03:32:16Z Multivariate Approximation for solving ODE and PDE Cesarano, Clemente nonlinear equations iteration methods one-point methods order of convergence oscillatory solutions nonoscillatory solutions second-order neutral differential equations multiple roots optimal convergence bivariate function divided difference inverse difference blending difference continued fraction Thiele–Newton’s expansion Viscovatov-like algorithm symmetric duality non-differentiable (G,αf)-invexity/(G,αf)-pseudoinvexity (G,αf)-bonvexity/(G,αf)-pseudobonvexity duality support function nondifferentiable strictly pseudo (V,α,ρ,d)-type-I unified dual efficient solutions Iyengar inequality right and left generalized fractional derivatives iterated generalized fractional derivatives generalized fractional Taylor’s formulae poisson equation domain decomposition asymmetric iterative schemes group explicit parallel computation even-order differential equations neutral delay oscillation Hilbert transform Hadamard transform hypersingular integral Bernstein polynomials Boolean sum simultaneous approximation equidistant nodes fourth-order delay differential equations riccati transformation parameter estimation physical modelling oblique decomposition least-squares thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific contents of numerical methods for the analysis of the approximation, as well as the study of ordinary differential equations (for example oscillating with delay) or that of partial differential equations of the fractional order, but all linked by the objective to present analytical or numerical techniques for the simplification of the study of problems involving relationships that are not immediately computable, thus allowing to establish a connection between different fields of mathematical analysis and numerical analysis through different points of view and investigation. The present contents, therefore, describe the multivariate approximation theory, which is today an increasingly active research area that deals with a multitude of problems in a wide field of research. This book brings together a collection of inter-/multi-disciplinary works applied to many areas of applied mathematics in a coherent manner. 2021-05-01T15:48:34Z 2021-05-01T15:48:34Z 2020 book ONIX_20210501_9783039436033_1138 9783039436033 9783039436040 https://directory.doabooks.org/handle/20.500.12854/69392 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3185 https://mdpi.com/books/pdfview/book/3185 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-604-0 10.3390/books978-3-03943-604-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039436033 9783039436040 202 Basel, Switzerland open access |
| spellingShingle | nonlinear equations iteration methods one-point methods order of convergence oscillatory solutions nonoscillatory solutions second-order neutral differential equations multiple roots optimal convergence bivariate function divided difference inverse difference blending difference continued fraction Thiele–Newton’s expansion Viscovatov-like algorithm symmetric duality non-differentiable (G,αf)-invexity/(G,αf)-pseudoinvexity (G,αf)-bonvexity/(G,αf)-pseudobonvexity duality support function nondifferentiable strictly pseudo (V,α,ρ,d)-type-I unified dual efficient solutions Iyengar inequality right and left generalized fractional derivatives iterated generalized fractional derivatives generalized fractional Taylor’s formulae poisson equation domain decomposition asymmetric iterative schemes group explicit parallel computation even-order differential equations neutral delay oscillation Hilbert transform Hadamard transform hypersingular integral Bernstein polynomials Boolean sum simultaneous approximation equidistant nodes fourth-order delay differential equations riccati transformation parameter estimation physical modelling oblique decomposition least-squares thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Multivariate Approximation for solving ODE and PDE |
| title | Multivariate Approximation for solving ODE and PDE |
| title_full | Multivariate Approximation for solving ODE and PDE |
| title_fullStr | Multivariate Approximation for solving ODE and PDE |
| title_full_unstemmed | Multivariate Approximation for solving ODE and PDE |
| title_short | Multivariate Approximation for solving ODE and PDE |
| title_sort | multivariate approximation for solving ode and pde |
| topic | nonlinear equations iteration methods one-point methods order of convergence oscillatory solutions nonoscillatory solutions second-order neutral differential equations multiple roots optimal convergence bivariate function divided difference inverse difference blending difference continued fraction Thiele–Newton’s expansion Viscovatov-like algorithm symmetric duality non-differentiable (G,αf)-invexity/(G,αf)-pseudoinvexity (G,αf)-bonvexity/(G,αf)-pseudobonvexity duality support function nondifferentiable strictly pseudo (V,α,ρ,d)-type-I unified dual efficient solutions Iyengar inequality right and left generalized fractional derivatives iterated generalized fractional derivatives generalized fractional Taylor’s formulae poisson equation domain decomposition asymmetric iterative schemes group explicit parallel computation even-order differential equations neutral delay oscillation Hilbert transform Hadamard transform hypersingular integral Bernstein polynomials Boolean sum simultaneous approximation equidistant nodes fourth-order delay differential equations riccati transformation parameter estimation physical modelling oblique decomposition least-squares thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | nonlinear equations iteration methods one-point methods order of convergence oscillatory solutions nonoscillatory solutions second-order neutral differential equations multiple roots optimal convergence bivariate function divided difference inverse difference blending difference continued fraction Thiele–Newton’s expansion Viscovatov-like algorithm symmetric duality non-differentiable (G,αf)-invexity/(G,αf)-pseudoinvexity (G,αf)-bonvexity/(G,αf)-pseudobonvexity duality support function nondifferentiable strictly pseudo (V,α,ρ,d)-type-I unified dual efficient solutions Iyengar inequality right and left generalized fractional derivatives iterated generalized fractional derivatives generalized fractional Taylor’s formulae poisson equation domain decomposition asymmetric iterative schemes group explicit parallel computation even-order differential equations neutral delay oscillation Hilbert transform Hadamard transform hypersingular integral Bernstein polynomials Boolean sum simultaneous approximation equidistant nodes fourth-order delay differential equations riccati transformation parameter estimation physical modelling oblique decomposition least-squares thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039436033_1138 |