Differential calculus and equations

This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities.

Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones.

The conference has an interdisciplinary focus and aims to bring together scientists - mathematicians, electrical engineers, computer scientists, and physicists, from universities and industry - to have in-depth discussions of the latest scientific results in Computational Science and Engineering relevant to Electrical Engineering and to stimulate and inspire active participation of young researchers.

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains.

This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018.

This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

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 presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods.

This book aims to introduce graduate students to the many applications of numerical computation, explaining in detail both how and why the included methods work in practice.

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.

This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas.

This book contains articles presented at the 9th Workshop on Differential-Algebraic Equations held in Paderborn, Germany, from 17-20 March 2019.

This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date.

This book presents practical applications of the finite element method to general differential equations.

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra.

This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space.

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

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization.

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes.

This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject.

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters.

This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation.

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "e;Boundary Value Problems, Functional Equations and Applications"e; (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications.

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China.

This textbook is devoted to second order linear partial differential equations.

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.

This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering.

Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians.

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

This book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits.

Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs).

This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015.

This thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric problems, particularly suited to algebraic multigrid, with a completely new approach to nonsymmetry which is based on a new concept of absolute value for nonsymmetric operators.

This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space.

This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors.

This compact book focuses on self-adjoint operators' well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment.

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.

This brief investigates the asymptotic behavior of some PDEs on networks.

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.

This monograph examines the stability of various coupled systems with local Kelvin-Voigt damping.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016.

The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics.

This monograph presents  the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations.

This book develops the foundations of "e;summability calculus"e;, which is a comprehensive theory of fractional finite sums.

This book provides an extensive survey on Lyapunov-type inequalities.