04425nam 2200997z- 450 991055739660332120210501(CKB)5400000000041931(oapen)https://directory.doabooks.org/handle/20.500.12854/69392(oapen)doab69392(EXLCZ)99540000000004193120202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMultivariate Approximation for solving ODE and PDEBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online 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.Mathematics and SciencebicsscResearch and information: generalbicssc(G,αf)-bonvexity/(G,αf)-pseudobonvexity(G,αf)-invexity/(G,αf)-pseudoinvexityasymmetric iterative schemesBernstein polynomialsbivariate functionblending differenceBoolean sumcontinued fractiondelay differential equationsdivided differencedomain decompositiondualityefficient solutionsequidistant nodeseven-order differential equationsfourth-ordergeneralized fractional Taylor's formulaegroup explicitHadamard transformHilbert transformhypersingular integralinverse differenceiterated generalized fractional derivativesiteration methodsIyengar inequalityleast-squaresmultiple rootsneutral delayneutral differential equationsnon-differentiablenondifferentiablenonlinear equationsnonoscillatory solutionsoblique decompositionone-point methodsoptimal convergenceorder of convergenceoscillationoscillatory solutionsparallel computationparameter estimationphysical modellingpoisson equationriccati transformationright and left generalized fractional derivativessecond-ordersimultaneous approximationstrictly pseudo (V,α,ρ,d)-type-Isupport functionsymmetric dualityThiele-Newton's expansionunified dualViscovatov-like algorithmMathematics and ScienceResearch and information: generalCesarano Clementeedt1325421Cesarano ClementeothBOOK9910557396603321Multivariate Approximation for solving ODE and PDE3036880UNINA