Differential calculus and equations

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems.

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.

Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces.

Computational Techniques for the Summation of Series is a text on the representation of series in closed form.

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.

In this second volume, a general approach is developed to provide approximate parameterizations of the "e;small"e; scales by the "e;large"e; ones for a broad class of stochastic partial differential equations (SPDEs).

This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.

This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.

Introduction We have been experiencing since the 1970s a process of "e;symplectization"e; of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?

This volume presents current trends in analysis and partial differential equations from researchers in developing countries.

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales.

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems.

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G.

Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities.

This volume introduces some basic theories on computational neuroscience.

The book "e;Single variable Differential and Integral Calculus"e; is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field.

The present book is based on the extensive lecture notes of the author and contains a concise course on Linear Algebra.

This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science.

This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering.

Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations.

Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes.

The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear.

The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016.

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems.

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space.

This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields.

This book originated from our interest in sea surface temperature variability.

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations.

The purpose of these lecture notes is to provide an introduction to the theory of complex Monge-Ampere operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kahler manifolds (with or without boundary).

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators.

The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

In the field of Dynamical Systems, nonlinear iterative processes play an important role.

The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis.

Differential equations with "e;maxima"e;-differential equations that contain the maximum of the unknown function over a previous interval-adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval.

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "e;free boundary"e;.

This text discusses the qualitative properties of dynamical systems including both differential equations and maps.

This book presents in thirteen refereed survey articles an overview of modern activity in stochastic analysis, written by leading international experts.

Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between di?

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications.