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Computational mathematics and variational analysis. (English) Zbl 1446.65002
Springer Optimization and Its Applications 159. Cham: Springer (ISBN 978-3-030-44624-6/hbk; 978-3-030-44625-3/ebook). ix, 568 p. (2020).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Athanasiadou, Evagelia S.; Sevroglou, Vassilios; Zoi, Stefania, Scattering relations of elastic waves by a multi-layered thermoelastic body, 1-23 [Zbl 07225642]
Bonnecaze, Alexis; Rolland, Robert, Blind transfer of personal data achieving privacy, 25-32 [Zbl 07225643]
Cojocaru, Monica G.; Etbaigha, Fatima, Equilibria of parametrized \(N\)-player nonlinear games using inequalities and nonsmooth dynamics, 33-53 [Zbl 07225644]
Delić, Aleksandra; Jovanović, Boško S.; Živanović, Sandra, Numerical approximation of a class of time-fractional differential equations, 55-79 [Zbl 07225645]
Dragomir, Silvestru Sever, Approximating the integral of analytic complex functions on paths from convex domains in terms of generalized Ostrowski and trapezoid type rules, 81-106 [Zbl 07225646]
Gupta, Vijay, Szász-Durrmeyer operators and approximation, 107-120 [Zbl 07225647]
Hamza, Alaa E.; Shehata, Enas M.; Agarwal, Praveen, Leibniz’s rule and Fubini’s theorem associated with a general quantum difference operator, 121-134 [Zbl 07225648]
Kashuri, Artion; Rassias, Themistocles M., Some new Ostrowski type integral inequalities via general fractional integrals, 135-151 [Zbl 07225649]
Kashuri, Artion; Rassias, Themistocles M.; Liko, Rozana, Some new integral inequalities via general fractional operators, 153-175 [Zbl 07225650]
Kitsos, Christos P.; Oliveira, Amílcar, Asymptotic statistical results: theory and practice, 177-190 [Zbl 07225651]
Kitsos, Christos P.; Oliveira, Amílcar, On the computational methods in non-linear design of experiments, 191-206 [Zbl 07225652]
Kosmas, Odysseas; Papadopoulos, Dimitrios; Vlachos, Dimitrios, Geometric derivation and analysis of multi-symplectic numerical schemes for differential equations, 207-226 [Zbl 07225653]
Lee, Jung Rye; Park, Choonkil; Rassias, Themistocles M., Additive \(( \rho_1, \rho_2)\)-functional inequalities in complex Banach spaces, 227-245 [Zbl 07225654]
Meletiou, Gerasimos C.; Triantafyllou, Dimitrios S.; Vrahatis, Michael N., First study for ramp secret sharing schemes through greatest common divisor of polynomials, 247-259 [Zbl 07225655]
Noor, Muhammad Aslam; Noor, Khalida Inayat, From representation theorems to variational inequalities, 261-277 [Zbl 07225656]
Papadakis, Nikolaos K., Unsupervised stochastic learning for user profiles, 279-297 [Zbl 07225657]
Parasidis, I. N.; Providas, E.; Zaoutsos, S., On the solution of boundary value problems for ordinary differential equations of order \(n\) and \(2n\) with general boundary conditions, 299-314 [Zbl 07225658]
Park, Choonkil; Rassias, Themistocles M., Additive-quadratic functional inequalities, 315-341 [Zbl 07225659]
Ibrahim, Rabha W., Time-delay multi-agent systems for a movable cloud, 343-356 [Zbl 07225660]
Raftopoulos, Konstantinos A., The global-local transformation, 357-380 [Zbl 07225661]
Ramazannejad, Maede; Alimohammady, Mohsen; Cattani, Carlo, On algorithms for difference of monotone operators, 381-401 [Zbl 07225662]
Randjelović, Branislav M.; Nikolić, Zoran S., A mathematical model for simulation of intergranular \(\mu \)-capacitance as a function of neck growth in ceramic sintering, 403-420 [Zbl 07225663]
Sahu, Nabin K.; Chadli, Ouayl; Mohapatra, R. N., Variational inequalities in semi-inner product spaces, 421-439 [Zbl 07225664]
Soybaş, Danyal; Malik, Neha, Results concerning certain linear positive operators, 441-464 [Zbl 1459.41005]
Stavroulakis, Ioannis P.; Xenos, Michail A., Behavior of the solutions of functional equations, 465-504 [Zbl 07225666]
Suksumran, Teerapong, The isometry group of \(n\)-dimensional Einstein gyrogroup, 505-512 [Zbl 07225667]
Turinici, Mihai, Function variational principles and normed minimizers, 513-536 [Zbl 07225668]
Turinici, Mihai, Nadler-Liu functional contractions in metric spaces, 537-568 [Zbl 07225669]
MSC:
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
65Jxx Numerical analysis in abstract spaces
49Jxx Existence theories in calculus of variations and optimal control
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
90-06 Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming
91-06 Proceedings, conferences, collections, etc. pertaining to game theory, economics, and finance
00B15 Collections of articles of miscellaneous specific interest
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