LEADER 04425nam 2200997z- 450 001 9910557396603321 005 20210501 035 $a(CKB)5400000000041931 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69392 035 $a(oapen)doab69392 035 $a(EXLCZ)995400000000041931 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMultivariate Approximation for solving ODE and PDE 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (202 p.) 311 08$a3-03943-603-1 311 08$a3-03943-604-X 330 $aThis 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. 606 $aMathematics and Science$2bicssc 606 $aResearch and information: general$2bicssc 610 $a(G,?f)-bonvexity/(G,?f)-pseudobonvexity 610 $a(G,?f)-invexity/(G,?f)-pseudoinvexity 610 $aasymmetric iterative schemes 610 $aBernstein polynomials 610 $abivariate function 610 $ablending difference 610 $aBoolean sum 610 $acontinued fraction 610 $adelay differential equations 610 $adivided difference 610 $adomain decomposition 610 $aduality 610 $aefficient solutions 610 $aequidistant nodes 610 $aeven-order differential equations 610 $afourth-order 610 $ageneralized fractional Taylor's formulae 610 $agroup explicit 610 $aHadamard transform 610 $aHilbert transform 610 $ahypersingular integral 610 $ainverse difference 610 $aiterated generalized fractional derivatives 610 $aiteration methods 610 $aIyengar inequality 610 $aleast-squares 610 $amultiple roots 610 $aneutral delay 610 $aneutral differential equations 610 $anon-differentiable 610 $anondifferentiable 610 $anonlinear equations 610 $anonoscillatory solutions 610 $aoblique decomposition 610 $aone-point methods 610 $aoptimal convergence 610 $aorder of convergence 610 $aoscillation 610 $aoscillatory solutions 610 $aparallel computation 610 $aparameter estimation 610 $aphysical modelling 610 $apoisson equation 610 $ariccati transformation 610 $aright and left generalized fractional derivatives 610 $asecond-order 610 $asimultaneous approximation 610 $astrictly pseudo (V,?,?,d)-type-I 610 $asupport function 610 $asymmetric duality 610 $aThiele-Newton's expansion 610 $aunified dual 610 $aViscovatov-like algorithm 615 7$aMathematics and Science 615 7$aResearch and information: general 700 $aCesarano$b Clemente$4edt$01325421 702 $aCesarano$b Clemente$4oth 906 $aBOOK 912 $a9910557396603321 996 $aMultivariate Approximation for solving ODE and PDE$93036880 997 $aUNINA