Calculus and mathematical analysis

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

This book focuses on the approximation of nonlinear equations using iterative methods.

This book covers the theory of derivatives pricing and hedging as well as techniques used in mathematical finance.

This book brings together a rich selection of studies in mathematical modeling and computational intelligence, with application in several fields of engineering, like automation, biomedical, chemical, civil, electrical, electronic, geophysical and mechanical engineering, on a multidisciplinary approach.

This book constitutes the refereed proceedings of the 15th International Symposium on Experimental Algorithms, SEA 2016, held in St.

This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes).

This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "e;max-product"e; type operators.

This book constitutes the proceedings of the 11th International Computer Science Symposium in Russia, CSR 2016, held in St.

Presenting the latest findings in topics from across the mathematical spectrum, this volume includes results in pure mathematics along with a range of new advances and novel applications to other fields such as probability, statistics, biology, and computer science.

This volume presents the lecture notes from two courses given by Davar Khoshnevisan and Rene Schilling, respectively, at the second Barcelona Summer School on Stochastic Analysis.

This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function.

The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganes, Spain, from July 3 to July 6, 2018.

This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries.

This book constitutes the proceedings of the 13th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2016, held in Banff, Canada, in May/June 2016.

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field.

This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems.

In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators.

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces.

This book presents the refereed proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Leuven (Belgium) in April 2014.

The Conference on Traffic and Granular Flow brings togetherinternational researchers from different fields ranging from physics tocomputer science and engineering to discuss the latest developments intraffic-related systems.

This book constitutes therefereed proceedings of the 18th International Conference on IntegerProgramming and Combinatorial Optimization, IPCO 2016, held in Liege, Belgium,in June 2016.

The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics.

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables.

In this volume a theory for models of transport in the presence of a free boundary is developed.

This book is a source of valuable and useful information on the topics of dynamics of number systems and scientific computation with arbitrary precision.

This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities.

This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities.

This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems.

This book presents the singular configurations associated with a robot mechanism, together with robust methods for their computation, interpretation, and avoidance path planning.

Presenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves.

Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.

Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell.

This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results.

This textbook covers the main results and methods of real analysis in a single volume.

This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science.

Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology.

Thisbook presents recent advances on Kobayashi hyperbolicity in complex geometry,especially in connection with projective hypersurfaces.

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics.

Offering a comprehensive overview of the challenges, risks and options facing the future of mechatronics, this book provides insights into how these issues are currently assessed and managed.

This book presents lecture notes from the XVI 'Jacques-Louis Lions' Spanish-French School on Numerical Simulation in Physics and Engineering, held in Pamplona (Navarra, Spain) in September 2014.

The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields.

This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations.

This book investigates the mathematical analysis of biological invasions.

This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cadiz (Spain) in 2015.

This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory.

This is a monograph covering topological fixed point theory for several classes of single and multivalued maps.

The book presents an overview of the state of research of advanced finite element technologies.

This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula).

This book constitutes the refereed post proceedings of the16th International Symposium, SCAN 2014, held in Wurzburg, Germany, in September 2014.