Numerical Methods
Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business,...
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| 格式: | Online |
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| 語言: | 英语 |
| 出版: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| 主題: | |
| 在線閱讀: | ONIX_20210501_9783039433186_962 |
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| _version_ | 1869515819650646016 |
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| collection | Directory of Open Access Books |
| description | Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, and even arts. The common uses of numerical methods include approximation, simulation, and estimation, and there is almost no scientific field in which numerical methods do not find a use. Results communicated here include topics ranging from statistics (Detecting Extreme Values with Order Statistics in Samples from Continuous Distributions) and Statistical software packages (dCATCH—A Numerical Package for d-Variate near G-Optimal Tchakaloff Regression via Fast NNLS) to new approaches for numerical solutions (Exact Solutions to the Maxmin Problem max‖Ax‖ Subject to ‖Bx‖≤1; On q-Quasi-Newton’s Method for Unconstrained Multiobjective Optimization Problems; Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method; On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence; Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations) to the use of wavelets (Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron) and methods for visualization (A Simple Method for Network Visualization). |
| format | Online |
| id | doab-20.500.12854ir-69216 |
| 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-692162024-03-28T03:32:12Z Numerical Methods Jäntschi, Lorentz Roșca, Daniela Clenshaw–Curtis–Filon high oscillation singular integral equations boundary singularities local convergence nonlinear equations Banach space Fréchet-derivative finite integration method shifted Chebyshev polynomial Caputo fractional derivative Burgers’ equation coupled Burgers’ equation maxmin supporting vector matrix norm TMS coil optimal geolocation probability computing Monte Carlo simulation order statistics extreme values outliers multiobjective programming methods of quasi-Newton type Pareto optimality q-calculus rate of convergence wavelets on 3D ball uniform 3D grid volume preserving map Network graph drawing planar visualizations multiple root solvers composite method weight-function derivative-free method optimal convergence multivariate polynomial regression designs G-optimality D-optimality multiplicative algorithms G-efficiency Caratheodory-Tchakaloff discrete measure compression Non-Negative Least Squares accelerated Lawson-Hanson solver thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, and even arts. The common uses of numerical methods include approximation, simulation, and estimation, and there is almost no scientific field in which numerical methods do not find a use. Results communicated here include topics ranging from statistics (Detecting Extreme Values with Order Statistics in Samples from Continuous Distributions) and Statistical software packages (dCATCH—A Numerical Package for d-Variate near G-Optimal Tchakaloff Regression via Fast NNLS) to new approaches for numerical solutions (Exact Solutions to the Maxmin Problem max‖Ax‖ Subject to ‖Bx‖≤1; On q-Quasi-Newton’s Method for Unconstrained Multiobjective Optimization Problems; Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method; On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence; Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations) to the use of wavelets (Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron) and methods for visualization (A Simple Method for Network Visualization). 2021-05-01T15:43:57Z 2021-05-01T15:43:57Z 2020 book ONIX_20210501_9783039433186_962 9783039433186 9783039433193 https://directory.doabooks.org/handle/20.500.12854/69216 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2988 https://mdpi.com/books/pdfview/book/2988 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-319-3 10.3390/books978-3-03943-319-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039433186 9783039433193 184 Basel, Switzerland open access |
| spellingShingle | Clenshaw–Curtis–Filon high oscillation singular integral equations boundary singularities local convergence nonlinear equations Banach space Fréchet-derivative finite integration method shifted Chebyshev polynomial Caputo fractional derivative Burgers’ equation coupled Burgers’ equation maxmin supporting vector matrix norm TMS coil optimal geolocation probability computing Monte Carlo simulation order statistics extreme values outliers multiobjective programming methods of quasi-Newton type Pareto optimality q-calculus rate of convergence wavelets on 3D ball uniform 3D grid volume preserving map Network graph drawing planar visualizations multiple root solvers composite method weight-function derivative-free method optimal convergence multivariate polynomial regression designs G-optimality D-optimality multiplicative algorithms G-efficiency Caratheodory-Tchakaloff discrete measure compression Non-Negative Least Squares accelerated Lawson-Hanson solver thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Numerical Methods |
| title | Numerical Methods |
| title_full | Numerical Methods |
| title_fullStr | Numerical Methods |
| title_full_unstemmed | Numerical Methods |
| title_short | Numerical Methods |
| title_sort | numerical methods |
| topic | Clenshaw–Curtis–Filon high oscillation singular integral equations boundary singularities local convergence nonlinear equations Banach space Fréchet-derivative finite integration method shifted Chebyshev polynomial Caputo fractional derivative Burgers’ equation coupled Burgers’ equation maxmin supporting vector matrix norm TMS coil optimal geolocation probability computing Monte Carlo simulation order statistics extreme values outliers multiobjective programming methods of quasi-Newton type Pareto optimality q-calculus rate of convergence wavelets on 3D ball uniform 3D grid volume preserving map Network graph drawing planar visualizations multiple root solvers composite method weight-function derivative-free method optimal convergence multivariate polynomial regression designs G-optimality D-optimality multiplicative algorithms G-efficiency Caratheodory-Tchakaloff discrete measure compression Non-Negative Least Squares accelerated Lawson-Hanson solver thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Clenshaw–Curtis–Filon high oscillation singular integral equations boundary singularities local convergence nonlinear equations Banach space Fréchet-derivative finite integration method shifted Chebyshev polynomial Caputo fractional derivative Burgers’ equation coupled Burgers’ equation maxmin supporting vector matrix norm TMS coil optimal geolocation probability computing Monte Carlo simulation order statistics extreme values outliers multiobjective programming methods of quasi-Newton type Pareto optimality q-calculus rate of convergence wavelets on 3D ball uniform 3D grid volume preserving map Network graph drawing planar visualizations multiple root solvers composite method weight-function derivative-free method optimal convergence multivariate polynomial regression designs G-optimality D-optimality multiplicative algorithms G-efficiency Caratheodory-Tchakaloff discrete measure compression Non-Negative Least Squares accelerated Lawson-Hanson solver thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039433186_962 |