Calculus and mathematical analysis

These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22-25, 2016 in San Antonio, Texas.

This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties.

Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations.

This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.

This book constitutes the proceedings of the 14th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2017, held in Padua, Italy, in June 2017.

This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior.

The articles in this collection are a sampling of some of the research presented during the conference "e;Stochastic Analysis and Related Topics"e;, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Banuelos.

Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science.

This book constitutes the proceedings of the 11th International Workshop on Frontiers in Algorithmics, FAW 2017, held in Chengdu, China, in June 2017.

This monograph contains expert knowledge on complex fluid-flows in microfluidic devices.

This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach.

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike.

This contributed volume contains a collection of articles on the most recent advances in integral methods.

This contributed volume contains a collection of articles on the most recent advances in integral methods.

This book constitutes the refereed proceedings of the 19th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2017, held in Waterloo, IN, Canada, in June 2017.

Written in honor of Victor Havin (1933-2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields.

Orthogonal designs have proved fundamental to constructing code division multiple antenna systems for more efficient mobile communications.

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.

This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrodinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others.

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This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation.

The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems.

Taking readers with a basic knowledge of probability and real analysis to the frontiers of a very active research discipline, this textbook provides all the necessary background from functional analysis and the theory of PDEs.

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.

This book presents the proceedings of the XXII International Conference on Industrial Engineering and Operations Management, International IIE Conference 2016, and International AIM Conference 2016.

This monograph summarizes the recent major achievements in Mobius invariant QK spaces.

This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics.

Computational fluid-structure interaction and flow simulation are challenging research areas that bring solution and analysis to many classes of problems in science, engineering, and technology.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

This book presents a summary of the important outcomes of the SIGMA project related to all aspects of Probabilistic Seismic Hazard Assessment: source characterization, rock motion characterization, site response characterization, and hazard calculations, with for all of them emphasis on the treatment of uncertainties.

This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems.

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

This volume collects the edited and reviewed contribution presented in the 7th iTi Conference in Bertinoro, covering fundamental and applied aspects in turbulence.

Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book.

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems.

This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications.

This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincare and Darboux to basic tools of modern mathematics.

This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation.

This first volume of the proceedings of the 8th conference on "e;Finite Volumes for Complex Applications"e; (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles.

This book is the second volume of proceedings of the 8th conference on "e;Finite Volumes for Complex Applications"e; (Lille, June 2017).

This book constitutes the refereed proceedings of the 9th International Conference on the Theory and Application of Cryptographic Techniques in Africa, AFRICACRYPT 2017, held in Dakar, Senegal, in May 2017.

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch.

Written by leading experts, this book provides a clear and comprehensive survey of the "e;status quo"e; of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy.

This book focuses on modelling financial information flows and information-based asset pricing framework.

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces.

This book constitutes thoroughly revised selected papers of the 6th International Conference on Numerical Analysis and Its Applications, NAA 2016, held in Lozenetz, Bulgaria, in June 2016.

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.

This book brings together 46 peer-reviewed papers that are of interest to researchers wanting to know more about the latest topics and methods in the fields of the kinematics, control and design of robotic systems.