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Advanced Numerical Methods in Applied Sciences

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ISBN: 9783038976660 9783038976677 Year: Pages: 306 DOI: 10.3390/books978-3-03897-667-7 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-06-26 08:44:06
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Abstract

The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.

Keywords

time fractional differential equations --- mixed-index problems --- analytical solution --- asymptotic stability --- conservative problems --- Hamiltonian problems --- energy-conserving methods --- Poisson problems --- Hamiltonian Boundary Value Methods --- HBVMs --- line integral methods --- constrained Hamiltonian problems --- Hamiltonian PDEs --- highly oscillatory problems --- boundary element method --- finite difference method --- floating strike Asian options --- continuous geometric average --- barrier options --- isogeometric analysis --- adaptive methods --- hierarchical splines --- THB-splines --- local refinement --- linear systems --- preconditioners --- Cholesky factorization --- limited memory --- Volterra integral equations --- Volterra integro–differential equations --- collocation methods --- multistep methods --- convergence --- B-spline --- optimal basis --- fractional derivative --- Galerkin method --- collocation method --- spectral (eigenvalue) and singular value distributions --- generalized locally Toeplitz sequences --- discretization of systems of differential equations --- higher-order finite element methods --- discontinuous Galerkin methods --- finite difference methods --- isogeometric analysis --- B-splines --- curl–curl operator --- time harmonic Maxwell’s equations and magnetostatic problems --- low rank completion --- matrix ODEs --- gradient system --- ordinary differential equations --- Runge–Kutta --- tree --- stump --- order --- elementary differential --- edge-histogram --- edge-preserving smoothing --- histogram specification --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods --- hyperbolic partial differential equations --- high order discontinuous Galerkin finite element schemes --- shock waves and discontinuities --- vectorization and parallelization --- high performance computing --- generalized Schur algorithm --- null-space --- displacement rank --- structured matrices --- stochastic differential equations --- stochastic multistep methods --- stochastic Volterra integral equations --- mean-square stability --- asymptotic stability --- numerical analysis --- numerical methods --- scientific computing --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods

Symmetry in Engineering Sciences

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ISBN: 9783039218745 9783039218752 Year: Pages: 220 DOI: 10.3390/books978-3-03921-875-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 11:49:16
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Abstract

This book presents interesting samples of theoretical and practical advances of symmetry in multidisciplinary engineering applications. It covers several applications, such as accessibility and traffic congestion management, path planning for mobile robots, analysis of shipment service networks, fault diagnosis methods in electrical circuits and electrical machines, geometrical issues in architecture, geometric modeling and virtual reconstruction, design of noise detectors, filters, and segmentation methods for image processing, and cyclic symmetric structures in turbomachinery applications, to name but a few. The contributions included in this book depict the state of the art in this field and lay the foundation for the possibilities that the study of symmetry has in multidisciplinary applications in the field of engineering.

Keywords

express shipment --- service network design --- linearization technique --- railway network --- path planning --- mobile robot --- environmental modeling --- optimization criteria --- path search --- aged --- high order urban hospitals (HOUHs) --- accessibility --- evaluation model --- trip impedance based on public transportation --- urban traffic planning --- 3D slicer --- classification --- extension --- random forest --- segmentation --- sensitivity analysis --- support vector machine --- tumor --- thin-walled gear --- ring damper --- vibration --- energy dissipation --- friction damping --- fault diagnosis --- lifting wavelet --- local preserving projection --- Fisher linear discriminant analysis --- semi-supervised random forest --- adaptive threshold --- clustering --- edge preserving --- noise detector --- random value impulse noise --- weighted mean filter --- anomaly detection --- local data features --- BP neural network --- local monotonicity --- convexity/concavity --- local inflection --- peaks distribution --- inclined plane --- Coalbrookdale (Shropshire) --- Agustín de Betancourt --- geometric modeling --- virtual reconstruction --- industrial heritage --- industrial archaeology --- symmetry --- rampant arch --- geometry --- optimum --- flying buttresses --- cathedral --- rolling bearings --- fault diagnosis --- broad learning model --- variational mode decomposition --- Hilbert transform --- railway transportation --- time-space network --- A* algorithm --- traffic congestion --- traffic forecasting --- traffic control --- railcar flow distribution --- asymmetry --- synchronization --- topology --- electrical circuits --- electronic devices --- mechanical structures --- robots --- graphic modelling --- complex networks --- optimization --- computing applications --- feature selection --- conditional mutual information --- feature interaction --- classification --- computer engineering

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MDPI - Multidisciplinary Digital Publishing Institute (2)


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CC by-nc-nd (2)


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english (2)


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2019 (2)