Multivariate Approximation for solving ODE and PDE

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 speci...

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Year of Publication:2020
Language:English
Physical Description:1 electronic resource (202 p.)
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100 1 |a Cesarano, Clemente  |4 edt 
245 1 0 |a Multivariate Approximation for solving ODE and PDE 
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520 |a 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. 
546 |a English 
650 7 |a Research & information: general  |2 bicssc 
650 7 |a Mathematics & science  |2 bicssc 
653 |a nonlinear equations 
653 |a iteration methods 
653 |a one-point methods 
653 |a order of convergence 
653 |a oscillatory solutions 
653 |a nonoscillatory solutions 
653 |a second-order 
653 |a neutral differential equations 
653 |a multiple roots 
653 |a optimal convergence 
653 |a bivariate function 
653 |a divided difference 
653 |a inverse difference 
653 |a blending difference 
653 |a continued fraction 
653 |a Thiele–Newton’s expansion 
653 |a Viscovatov-like algorithm 
653 |a symmetric duality 
653 |a non-differentiable 
653 |a (G,αf)-invexity/(G,αf)-pseudoinvexity 
653 |a (G,αf)-bonvexity/(G,αf)-pseudobonvexity 
653 |a duality 
653 |a support function 
653 |a nondifferentiable 
653 |a strictly pseudo (V,α,ρ,d)-type-I 
653 |a unified dual 
653 |a efficient solutions 
653 |a Iyengar inequality 
653 |a right and left generalized fractional derivatives 
653 |a iterated generalized fractional derivatives 
653 |a generalized fractional Taylor’s formulae 
653 |a poisson equation 
653 |a domain decomposition 
653 |a asymmetric iterative schemes 
653 |a group explicit 
653 |a parallel computation 
653 |a even-order differential equations 
653 |a neutral delay 
653 |a oscillation 
653 |a Hilbert transform 
653 |a Hadamard transform 
653 |a hypersingular integral 
653 |a Bernstein polynomials 
653 |a Boolean sum 
653 |a simultaneous approximation 
653 |a equidistant nodes 
653 |a fourth-order 
653 |a delay differential equations 
653 |a riccati transformation 
653 |a parameter estimation 
653 |a physical modelling 
653 |a oblique decomposition 
653 |a least-squares 
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