Differential calculus and equations

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences.

This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs.

This book collects original peer-reviewed contributions presented at the "e;International Conference on Mathematical Analysis and Applications (MAA 2020)"e; organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from 2-4 November 2020.

Abstract models for many problems in science and engineering take the form of an operator equation.

Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs).

The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.

The book could be a good companion for any graduate student in partial differential equations or in applied mathematics.

This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms.

Die immer leistungsfähiger werdende Computertechnik hat in den letzten Jahrzehnten auch zu einer grandiosen Entwicklung der Strömungssimulation geführt.

The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation.

Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels.

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations.

This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.

This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations.

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.

Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time).

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences.

This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications.

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

Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design.

The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution.

This comprehensive textbook is intended for a two-semester sequence in analysis.

In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data.

The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations.

This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications.

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.

"e;A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

Fractional calculus and its applications are fascinating research areas in many engineering disciplines.

This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics.

In recent years there has been a considerable renewal of interest in the clas- sical problems of the calculus of variations, both from the point of view of mathematics and of applications.

This volume comprises state-of-the-art articles in discrete integrable systems.

A decade has passed since Problems of Nonlinear Deformation, the first book by E.

This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

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

This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time.

Exactly one hundred years ago, in 1895, G.

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

Discussing many results and studies from the literature, this work illustrates the value of Fourier series methods in solving difficult nonlinear PDEs.

In recent years, the study of the Monge-Ampere equation has received consider- able attention and there have been many important advances.

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained.

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H.

This book presents a unique fusion of two different research topics.

This book covers two essential PDE-based image processing fields: image denoising and image inpainting.