Multivariate Approximation for solving ODE and PDE

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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Bibliographic Details
Other Authors: Cesarano, Clemente (Editor)
Format: Book Chapter
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
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Summary: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.
Physical Description:1 electronic resource (202 p.)
ISBN:books978-3-03943-604-0
9783039436033
9783039436040
Access:Open Access

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