LEADER 04406nam 2200985z- 450 001 9910557396603321 005 20231214133021.0 035 $a(CKB)5400000000041931 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69392 035 $a(EXLCZ)995400000000041931 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultivariate Approximation for solving ODE and PDE 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (202 p.) 311 $a3-03943-603-1 311 $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 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $anonlinear equations 610 $aiteration methods 610 $aone-point methods 610 $aorder of convergence 610 $aoscillatory solutions 610 $anonoscillatory solutions 610 $asecond-order 610 $aneutral differential equations 610 $amultiple roots 610 $aoptimal convergence 610 $abivariate function 610 $adivided difference 610 $ainverse difference 610 $ablending difference 610 $acontinued fraction 610 $aThiele?Newton?s expansion 610 $aViscovatov-like algorithm 610 $asymmetric duality 610 $anon-differentiable 610 $a(G,?f)-invexity/(G,?f)-pseudoinvexity 610 $a(G,?f)-bonvexity/(G,?f)-pseudobonvexity 610 $aduality 610 $asupport function 610 $anondifferentiable 610 $astrictly pseudo (V,?,?,d)-type-I 610 $aunified dual 610 $aefficient solutions 610 $aIyengar inequality 610 $aright and left generalized fractional derivatives 610 $aiterated generalized fractional derivatives 610 $ageneralized fractional Taylor?s formulae 610 $apoisson equation 610 $adomain decomposition 610 $aasymmetric iterative schemes 610 $agroup explicit 610 $aparallel computation 610 $aeven-order differential equations 610 $aneutral delay 610 $aoscillation 610 $aHilbert transform 610 $aHadamard transform 610 $ahypersingular integral 610 $aBernstein polynomials 610 $aBoolean sum 610 $asimultaneous approximation 610 $aequidistant nodes 610 $afourth-order 610 $adelay differential equations 610 $ariccati transformation 610 $aparameter estimation 610 $aphysical modelling 610 $aoblique decomposition 610 $aleast-squares 615 7$aResearch & information: general 615 7$aMathematics & science 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