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Multivariate Approximation for solving ODE and PDE
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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.
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Keywords
- (G,αf)-bonvexity/(G,αf)-pseudobonvexity
- (G,αf)-invexity/(G,αf)-pseudoinvexity
- asymmetric iterative schemes
- Bernstein polynomials
- bivariate function
- blending difference
- Boolean sum
- continued fraction
- delay differential equations
- divided difference
- domain decomposition
- duality
- efficient solutions
- equidistant nodes
- even-order differential equations
- fourth-order
- generalized fractional Taylor’s formulae
- group explicit
- Hadamard transform
- Hilbert transform
- hypersingular integral
- inverse difference
- iterated generalized fractional derivatives
- iteration methods
- Iyengar inequality
- least-squares
- Mathematics & science
- Multiple roots
- neutral delay
- neutral differential equations
- non-differentiable
- nondifferentiable
- nonlinear equations
- nonoscillatory solutions
- oblique decomposition
- one-point methods
- optimal convergence
- order of convergence
- oscillation
- oscillatory solutions
- parallel computation
- Parameter estimation
- physical modelling
- poisson equation
- Reference, information & interdisciplinary subjects
- Research & information: general
- riccati transformation
- right and left generalized fractional derivatives
- second-order
- simultaneous approximation
- support function
- symmetric duality
- Thiele–Newton’s expansion
- unified dual
- Viscovatov-like algorithm
Links
DOI: 10.3390/books978-3-03943-604-0Editions