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Author : Leonid Berlyand,A. G. Kolpakov,Alexei Novikov
Publisher : Unknown
Page : 260 pages
File Size : 45,6 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1139840428
Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Author : Leonid Berlyand. Alexander G. Kolpakov. Alexei Novikov
Publisher : Unknown
Page : 128 pages
File Size : 47,8 Mb
Release : 2012
Category : Electronic
ISBN : 1139854240
Author : Leonid Berlyand,Alexander G. Kolpakov,Alexei Novikov
Publisher : Cambridge University Press
Page : 259 pages
File Size : 46,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9781107028234
Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Author : Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec
Publisher : Academic Press
Page : 328 pages
File Size : 41,7 Mb
Release : 2017-09-20
Category : Mathematics
ISBN : 9780128110478
Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. Computational methodology for main classes of problems in structured media Theory of Representative Volume Element Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations
Author : Ross McPhedran,Simon Gluzman,Vladimir Mityushev,Natalia Rylko
Publisher : Elsevier
Page : 318 pages
File Size : 50,8 Mb
Release : 2020-06-05
Category : Technology & Engineering
ISBN : 9780128188200
2D and Quasi-2D Composite and Nanocomposite Materials: Theory, Properties and Photonic Applications covers the theory, characterization and computational modeling of 2D composite materials and shows how they are used for the creation of materials for 3D structures The book covers three major themes: Properties of 2D and quasi-2D composites are discussed in the context of homogenization theory. Homogenization results are discussed for spatiotemporal material composites assembled from materials which are distributed on a micro-scale in space and in time. New types of transport phenomena and localization in random media are addressed, with particular attention to the non-reciprocity of transport coefficients. Plasmonics and magneto-optics are also of particular interest. Magneto-transport and sub-wavelength resolution in electromagnetic and acoustic imaging are further considered. This book is an important resource for materials scientists and engineers working on nanomaterials, photonic composites, and materials theory, modeling and simulations. Outlines major modelling techniques of 2D nanocomposites for photonic applications Explores how the properties of 2D nanocomposites make them suitable for use for building 3D structures Assesses the challenges of using 2D nanocomposites for designing new devices on a mass scale
Author : Panos M. Pardalos,Themistocles M. Rassias
Publisher : Springer
Page : 648 pages
File Size : 40,7 Mb
Release : 2014-09-16
Category : Mathematics
ISBN : 9781493911240
This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.
Author : Giovanni Molica Bisci,Vicenţiu D. Rădulescu (!d),Raffaella Servadei
Publisher : Cambridge University Press
Page : 401 pages
File Size : 46,8 Mb
Release : 2016-03-11
Category : Mathematics
ISBN : 9781107111943
A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.
Author : Paula Cerejeiras,Michael Reissig,Irene Sabadini,Joachim Toft
Publisher : Springer Nature
Page : 663 pages
File Size : 49,7 Mb
Release : 2022-10-03
Category : Mathematics
ISBN : 9783030875022
This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.
Author : Themistocles M. Rassias
Publisher : Springer
Page : 555 pages
File Size : 55,7 Mb
Release : 2014-11-18
Category : Mathematics
ISBN : 9781493912469
As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.
Author : Michał Barski,Jerzy Zabczyk
Publisher : Cambridge University Press
Page : 401 pages
File Size : 42,6 Mb
Release : 2020-04-23
Category : Business & Economics
ISBN : 9781107101296
Analyses bond market models with Lévy stochastic factors, suitable for graduates and researchers in probability and mathematical finance.
Author : Michael Baake,Uwe Grimm
Publisher : Cambridge University Press
Page : 407 pages
File Size : 45,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9780521869928
The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.
Author : Valérie Berthé,Michel Rigo
Publisher : Cambridge University Press
Page : 496 pages
File Size : 54,7 Mb
Release : 2016-02-26
Category : Computers
ISBN : 9781107077027
Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.
Author : Teo Mora
Publisher : Cambridge University Press
Page : 833 pages
File Size : 54,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9781107109636
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
Author : Grzegorz Tomkowicz,Stan Wagon
Publisher : Cambridge University Press
Page : 367 pages
File Size : 44,8 Mb
Release : 2016-06-14
Category : Mathematics
ISBN : 9781107042599
The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.
Author : P. A. Martin
Publisher : Cambridge University Press
Page : 265 pages
File Size : 44,9 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781108835596
The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.