04406nam 2200985z- 450 991055739660332120231214133021.0(CKB)5400000000041931(oapen)https://directory.doabooks.org/handle/20.500.12854/69392(EXLCZ)99540000000004193120202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMultivariate Approximation for solving ODE and PDEBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (202 p.)3-03943-603-1 3-03943-604-X This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific contents of numerical methods for the analysis of the approximation, as well as the study of ordinary differential equations (for example oscillating with delay) or that of partial differential equations of the fractional order, but all linked by the objective to present analytical or numerical techniques for the simplification of the study of problems involving relationships that are not immediately computable, thus allowing to establish a connection between different fields of mathematical analysis and numerical analysis through different points of view and investigation. The present contents, therefore, describe the multivariate approximation theory, which is today an increasingly active research area that deals with a multitude of problems in a wide field of research. This book brings together a collection of inter-/multi-disciplinary works applied to many areas of applied mathematics in a coherent manner.Research & information: generalbicsscMathematics & sciencebicsscnonlinear equationsiteration methodsone-point methodsorder of convergenceoscillatory solutionsnonoscillatory solutionssecond-orderneutral differential equationsmultiple rootsoptimal convergencebivariate functiondivided differenceinverse differenceblending differencecontinued fractionThiele–Newton’s expansionViscovatov-like algorithmsymmetric dualitynon-differentiable(G,αf)-invexity/(G,αf)-pseudoinvexity(G,αf)-bonvexity/(G,αf)-pseudobonvexitydualitysupport functionnondifferentiablestrictly pseudo (V,α,ρ,d)-type-Iunified dualefficient solutionsIyengar inequalityright and left generalized fractional derivativesiterated generalized fractional derivativesgeneralized fractional Taylor’s formulaepoisson equationdomain decompositionasymmetric iterative schemesgroup explicitparallel computationeven-order differential equationsneutral delayoscillationHilbert transformHadamard transformhypersingular integralBernstein polynomialsBoolean sumsimultaneous approximationequidistant nodesfourth-orderdelay differential equationsriccati transformationparameter estimationphysical modellingoblique decompositionleast-squaresResearch & information: generalMathematics & scienceCesarano Clementeedt1325421Cesarano ClementeothBOOK9910557396603321Multivariate Approximation for solving ODE and PDE3036880UNINA