03716nam 2200769z- 450 991055764110332120231214133247.0(CKB)5400000000045043(oapen)https://directory.doabooks.org/handle/20.500.12854/68523(EXLCZ)99540000000004504320202105d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMesh MethodsNumerical Analysis and ExperimentsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 electronic resource (128 p.)3-0365-0376-5 3-0365-0377-3 Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. Of particular interest are new methods for solving boundary value problems with singularities, the complex geometry of the domain boundary and nonlinear equations. A part of the articles is devoted to the analysis of numerical methods developed for calculating mathematical models in various fields of applied science and engineering applications. As a rule, the ideas of symmetry are present in the design schemes and make the process harmonious and efficient.Mesh Methods Information technology industriesbicsschigh-order methodsBrinkman penalizationdiscontinuous Galerkin methodsembedded geometryhigh-order boundaryIMEX Runge–Kutta methodsboundary value problems with degeneration of the solution on entire boundary of the domainthe method of finite elementsspecial graded meshmultigrid methodsHermitian/skew-Hermitian splitting methodskew-Hermitian triangular splitting methodstrongly non-Hermitian matrixlie symmetriesinvariantized difference schemenumerical solutionsfinite integration methodshifted Chebyshev polynomialdirect and inverse problemsVolterra integro-differential equationTikhonov regularization methodquartic splinetriangulationscattered datacontinuitysurface reconstructionpositivity-preservinginterpolationjaw crushersymmetrical laser cladding pathFEPGwearInformation technology industriesRukavishnikov Viktor Aedt1315832Lima Pedro MedtBadriev Ildar BedtRukavishnikov Viktor AothLima Pedro MothBadriev Ildar BothBOOK9910557641103321Mesh Methods3032533UNINA