Calculus and mathematical analysis

This book studies solutions of the Polubarinova-Galin and Lowner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.

This volume provides an introduction to the theory of Mean Field Games, suggested by J.

This book constitutes the refereed post-conference proceedings of the 28th International Workshopon Combinatorial Algorithms, IWOCA 2017, held in Newcastle, NSW, Australia, in July 2017.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems.

This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16-20, 2015.

This book constitutes the proceedings of the 14th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2017, held in Kitakyushu, Japan, in October 2017.

This book constitutes the refereed proceedings of the 12th International Workshop on Frontiers in Algorithmics, FAW 2018, held in Guangzhou, China, in May 2018.

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis.

Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?

This book provides a solid foundation in the Python programming language, numerical methods, and data analysis, all embedded within the context of astronomy and astrophysics.

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

This book concerns the elastic stability of thin-walled structures - one of the most challenging problems facing structural engineers because of its high degree of nonlinearity - and introduces the innovative approach of using spectral analysis of the shapes and the stiffness to gain insights into the nonlinear deformations.

This easy-to-understand textbook presents a modern approach to learning numerical methods (or scientific computing), with a unique focus on the modeling and applications of the mathematical content.

This textbook provides a gentle overview of fundamental concepts related to one-variable calculus.

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations.

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally.

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s.

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

This book suggests that the numerical analysis subjects' matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations.

The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems.

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers.

This monograph introduces some current developments in the modelling of the spread of tick-borne diseases.

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019.

This book collects the final versions of the highest quality papers presented at the conference 11th European Symposium on Computational Intelligence and Mathematics held on October 2-5, 2019, in Toledo (Spain).

This book constitutes the thoroughly refereed conference proceedings of the 10th International Conference on Rough Sets and Knowledge Technology, RSKT 2015, held in Tianjin, China, in November 2015, as part of the International Joint Conference on Rough Sets, IJCRS 2015, together with the 15th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, RSFDgrC 2015.

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems.

The book introduces modern high-order methods for computational fluid dynamics.

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Symposium on Combinatorial Optimization, ISCO 2020, which was due to be held in Montreal, Canada, in May 2020.

This book comprises nine selected works on numerical and computational methods for solving multiobjective optimization, game theory, and machine learning problems.

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function).

The recent book of the series continues the collection of articles dealing with the important and efficient combination of traditional and novel mathematical approaches with various computational intelligence techniques, with a stress of fuzzy systems, and fuzzy logic.

This book presents the state-of-the-art in supercomputer simulation.

The purpose of this book is to present the current state of the art of the Virtual Element Method (VEM) by collecting contributions from many of the most active researchers in this field and covering a broad range of topics: from the mathematical foundation to real life computational applications.

This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory.

This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner.

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects.

This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.

This book is a significant companion text to the existing literature on continuum theory.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampere and linearized Monge-Ampere equations.

This monograph uncovers the full capabilities of the Riemann integral.

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

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

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth's gravity field.

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems.

This textbook presents the essential tools and core concepts of data science to public officials, policy analysts, and economists among others in order to further their application in the public sector.

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook.

This book constitutes the proceedings of the 18th IFIP WG 10.

Das vorliegende Lehrbuch enthält eine kompakte, in Vorlesungen erprobte Einführung in diese moderne Sichtweise der GDGn, wobei der klassische Stoff nicht vernachlässigt wird.