04971nam 22013693a 450 991034669020332120250203235431.09783038976677303897667910.3390/books978-3-03897-667-7(CKB)4920000000094767(oapen)https://directory.doabooks.org/handle/20.500.12854/40207(ScCtBLL)81504f71-275e-4146-81bd-2ba46206d311(OCoLC)1163832116(oapen)doab40207(EXLCZ)99492000000009476720250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierAdvanced Numerical Methods in Applied SciencesFelice Lavernaro, Luigi BrugnanoMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (306 p.)9783038976660 3038976660 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.structured matricesnumerical methodstime fractional differential equationshierarchical splinesfinite difference methodsnull-spacehighly oscillatory problemsstochastic Volterra integral equationsdisplacement rankconstrained Hamiltonian problemshyperbolic partial differential equationshigher-order finite element methodscontinuous geometric averagespectral (eigenvalue) and singular value distributionsgeneralized locally Toeplitz sequencesVolterra integro–differential equationsB-splinediscontinuous Galerkin methodsadaptive methodsCholesky factorizationenergy-conserving methodsordercollocation methodPoisson problemstime harmonic Maxwell’s equations and magnetostatic problemstreemultistep methodsstochastic differential equationsoptimal basisfinite difference methodelementary differentialgradient systemcurl–curl operatorconservative problemsline integral methodsstochastic multistep methodsHamiltonian Boundary Value Methodslimited memoryboundary element methodconvergenceanalytical solutionpreconditionersasymptotic stabilitycollocation methodshistogram specificationlocal refinementRunge–Kuttaedge-preserving smoothingnumerical analysisTHB-splinesBS methodsbarrier optionsstumpshock waves and discontinuitiesmean-square stabilityVolterra integral equationshigh order discontinuous Galerkin finite element schemesB-splinesvectorization and parallelizationinitial value problemsone-step methodsscientific computingfractional derivativelinear systemsHamiltonian problemslow rank completionordinary differential equationsmixed-index problemsedge-histogramHamiltonian PDEsmatrix ODEsHBVMsfloating strike Asian optionsHermite–Obreshkov methodsgeneralized Schur algorithmGalerkin methodsymplecticityhigh performance computingisogeometric analysisdiscretization of systems of differential equationsLavernaro Felice1786237Brugnano LuigiScCtBLLScCtBLLBOOK9910346690203321Advanced Numerical Methods in Applied Sciences4317655UNINA