Differential calculus and equations

This book is concentrated on the synergy between computer science and numerical analysis.

A systematic and comprehensive introduction to ordinary differential equations for engineering students and practitioners.

This book presents a generalized version of the classical Kelvin-Helmholtz instability, a useful tool which allows for new approaches when studying stability problems in fluid mechanics, as well as its important applications.

This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators.

This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems.

A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications.

Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universit s, UPMC - Universit Paris 6, France A comprehensive overview of techniques for the computational solution of PDE'sNumerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method.

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

This volume comprises eight papers delivered at the RIMS International Conference "e;Mathematical Challenges in a New Phase of Materials Science"e;, Kyoto, August 4-8, 2014.

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables.

Special functions and orthogonal polynomials in particular have been around for centuries.

This book is an attempt to give a systematic presentation of results and me- ods which concern the ?

This book presents recent research results from a selection of the talks presented in the international symposium "e;New Trends in Approximation and Applications"e;, held at Oujda, Morocco, in June 2022.

This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.

This book presents the Henstock/Kurzweil integral and the McShane integral.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

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

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland.

This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications.

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia.

One of the masters in the differential equations community, the late F.

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

In the framework of the "e;Annee non lineaire"e; (the special nonlinear year) sponsored by the C.

Ever since the groundbreaking work of J.

Covers the fundamental aspects of the classical theory and introduces significant recent developments.

This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations.

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations.

This volume is dedicated to the memory of Professor Stavros Busenberg of Harvey Mudd College, who contributed so greatly to this field during 25 years prior to his untimely death.

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011.

This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China.

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.

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales.

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition.

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving.

Lectures: B.

This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry.

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

Presents the state of the art in the theory of ridge functions, providing a solid theoretical foundation.

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers.

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware.

This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.

With the collapse of Demographic Transition Theory, new theories of population must not just be explanations, but should be falsifiable theories which can compute the number of occurrences of marriages and births.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped.

Overview Many problems in mathematical physics and applied mathematics can be reduced to boundary value problems for differential, and in some cases, inte- grodifferential equations.

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

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

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.