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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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Guardado en:
Formato: Online
Lenguaje:inglés
Publicado: MDPI - Multidisciplinary Digital Publishing Institute 2023
Materias:
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
Acceso en línea:ONIX_20230808_9783036582849_46
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Sumario: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.

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