Differential calculus and equations

This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Grobner bases) and geometry (via quiver theory).

Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties.

This book arose from a conference on "e;Singularities and Computer Algebra"e; which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday.

Complex analytical methods are a powerful tool for special partial differential equations and systems.

Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries.

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems.

This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "e;multiscale"e; or "e;multilevel"e; paradigm.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

In this book the author presents the Opial, Poincare, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities.

An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.

The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain.

This textbook offers an extensive list of completely solved problems in mathematical analysis.

This book proposes an introduction to the mathematical modeling of the respiratory system.

Partial differential equations constitute an integral part of mathematics.

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions.

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations.

Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species).

This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE.

Recently, there has appeared a new type of evaluating partial differential equations with Volterra integral operators in various practical areas.

This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Vaxjo, Sweden.

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 develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains.

This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling.

This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation.

"e;For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies.

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Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems.

A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.

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

There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry.

Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers.

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one's own time.

This volume contains research articles from the field of Nonlinear Differential Equa- tions which result from the "e;Workshop on Nonlinear Analysis and Applications"e; held in Bergamo on July 9 to 13, 200l.

The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators.

This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations.

This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science.

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications.

The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable.

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "e;Econophysics"e;, who have undertaken the task of modelling and analyzing order-driven markets.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions.

Mathematical treatment to properties of dynamic materials, material substances whose properties are variable in space and time are examined in this book.

Complex analytical methods are a powerful tool for special partial differential equations and systems.

The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications.

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area.