Multivariate Approximation for solving ODE and PDE

• Other Authors: Cesarano, Clemente (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: Research & information: general; Mathematics & science; nonlinear equations; iteration methods; one-point methods; order of convergence; oscillatory solutions; nonoscillatory solutions; second-order; neutral differential equations; multiple roots; optimal convergence; bivariate function; divided difference; inverse difference; blending difference; continued fraction; Thiele-Newton's expansion; Viscovatov-like algorithm; symmetric duality; non-differentiable; (G,αf)-invexity/(G,αf)-pseudoinvexity; (G,αf)-bonvexity/(G,αf)-pseudobonvexity; duality; support function; nondifferentiable; strictly pseudo (V,α,ρ,d)-type-I; unified dual; efficient solutions; Iyengar inequality; right and left generalized fractional derivatives; iterated generalized fractional derivatives; generalized fractional Taylor's formulae; poisson equation; domain decomposition; asymmetric iterative schemes; group explicit; parallel computation; even-order differential equations; neutral delay; oscillation; Hilbert transform; Hadamard transform; hypersingular integral; Bernstein polynomials; Boolean sum; simultaneous approximation; equidistant nodes; fourth-order; delay differential equations; riccati transformation; parameter estimation; physical modelling; oblique decomposition; least-squares
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...