Computational Mathematics and Variational Analysis 1st Edition Nicholas 3030446255 9783030446253

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Product details:

• ISBN 10: 3030446255
• ISBN 13: 9783030446253
• Author: Nicholas J. Daras

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Table of contents:

Scattering Relations of Elastic Waves by a Multi-Layered Thermoelastic Body
Blind Transfer of Personal Data Achieving Privacy
Equilibria of Parametrized N-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics
Numerical Approximation of a Class of Time-Fractional Differential Equations
Approximating the Integral of Analytic Complex Functions on Paths from Convex Domains in Terms of Generalized Ostrowski and Trapezoid Type Rules
Szász–Durrmeyer Operators and Approximation
Leibniz’s Rule and Fubini’s Theorem Associated with a General Quantum Difference Operator
Some New Ostrowski Type Integral Inequalities via General Fractional Integrals
Some New Integral Inequalities via General Fractional Operators
Asymptotic Statistical Results: Theory and Practice
On the Computational Methods in Non-linear Design of Experiments
Geometric Derivation and Analysis of Multi-Symplectic Numerical Schemes for Differential Equations
Additive (ρ1, ρ2)-Functional Inequalities in Complex Banach Spaces
First Study for Ramp Secret Sharing Schemes Through Greatest Common Divisor of Polynomials
From Representation Theorems to Variational Inequalities
Unsupervised Stochastic Learning for User Profiles
On the Solution of Boundary Value Problems for Ordinary Differential Equations of Order n and 2n with General Boundary Conditions
Additive-Quadratic Functional Inequalities
Time-Delay Multi-Agent Systems for a Movable Cloud
The Global-Local Transformation
On Algorithms for Difference of Monotone Operators
A Mathematical Model for Simulation of Intergranular μ-Capacitance as a Function of Neck Growth in Ceramic Sintering
Variational Inequalities in Semi-inner Product Spaces
Results Concerning Certain Linear Positive Operators
Behavior of the Solutions of Functional Equations
The Isometry Group of n-Dimensional Einstein Gyrogroup
Function Variational Principles and Normed Minimizers
Nadler-Liu Functional Contractions in Metric Spaces

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