Differential calculus and equations

This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history.

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems.

This book covers electrostatic properties of hyperbolic metamaterials (HMMs), a fascinating class of metamaterials which combine dielectric and metal components.

These proceedings gather selected, peer-reviewed papers presented at the IV International Conference on Mathematics and its Applications in Science and Engineering - ICMASE 2023, held on July 12-14, 2023 by the University Center of Technology and Digital Arts (U-tad) in Madrid, Spain.

Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications.

There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models.

Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel.

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

The study of differential equations is a wide field in pure and applied mathematics, physics, meteorology, and engineering.

This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems.

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts.

This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective.

This book is devoted to the least gradient problem and its variants.

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree.

What mathematical modeling uncovers about life in the cityX and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life.

The first chapter deals with idempotent analysis per se .

The present collection is the very first contribution of this type in the field of sparse recovery.

This book are notes prepared for the PhD courses that the author has been teaching during the last 10 years.

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Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations.

The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear.

This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "e;Linear partial differential operators"e;.

Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics.

Differential Equations are very important tools in Mathematical Analysis.

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others.

This book was written as a comprehensive introduction to the theory of ordinary di?

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators.

Boundary Value Problems, Sixth Edition, is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis.

This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems.

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.

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

This book concerns matrix nearness problems in the framework of spectral optimization.

The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics.

The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations.

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques.

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways.

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

The first monograph on the theory of global attractors of Hamiltonian partial differential equations.

From the reviews:"e;This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from.

The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions.

This book is devoted to impulsive differential equations with a small parameter.

This is a revised and extended version of my 1995 elementary introduction to partial di?