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...

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Médium:	E-kniha
Jazyk:	English
Vydavateľské údaje:	Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
Predmet:	3D solids acoustic wave analytic representation Bernstein–Bézier coefficients Brazilian disc test chromium Clough–Tocher split clustered eigenpairs co-simulation collocation method computational simulation coupling crack evolution crack growth defect analysis doubly connected domain eigenvalue solver eigenvector solver elastic-plastic problems embedding error bounds extrinsic failure mode finite element method frame elements free vibration fundamental solution Gaussian general Q iteration global–local GST Helmholtz equations heterogeneous media high-order enrichment functions incremental theory indirect tensile strength integration error intrinsic inverse multiquadric inverse problems Julia language Kansa’s method Laplace equations Laplace–Beltrami operator lattice Boltzmann method localized meshless collocation method machine learning Mathematics and Science matrix division meshfree numerical technique meshless method multi-dimensional fractional equations multi-term fractional equations multiquadric non-intrusive nonlinear elliptic equation numerical analysis numerical dispersion numerical integration numerical methods numerical simulation orthogonalization parallel algorithm parallel programming parametric optimization permeability Photovoltaic applications piezoelectric actuator quasi-interpolation radial basis function Reference, Information and Interdisciplinary subjects reliability analysis Research and information: general shell shortest edge singular boundary method SiO2 size effect Smoothed Finite Element Method (S-FEM) soil–rock mixture stress constraint structure optimization surfaces symmetric tridiagonal matrix the shape parameter thermo-elastic structure topology optimisation topology optimization transient analysis triangle shape triangulations two-parameter homogenization functions type-1 triangulation variable step-size virtual boundary element wave propagation
ISBN:	3036582843, 9783036582856, 3036582851, 9783036582849
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Shrnutí:	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.
ISBN:	3036582843 9783036582856 3036582851 9783036582849
DOI:	10.3390/books978-3-0365-8285-6