Differential calculus and equations

This book is devoted to stochastic Navier-Stokes equations and more generally to stochasticity in fluid mechanics.

This book introduces a method of research which can be used in various fields of mathematics.

This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

The book is mainly about hybrid systems with continuous/discrete-time dynamics.

Extensive update of the Bateman Manuscript Project.

Spectral properties for Schrodinger operators are a major concern in quantum mechanics both in physics and in mathematics.

This contributed book has a comprehensive collection of 17 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications.

This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in geophysics, the Navier-Stokes equations and the boundary layer problems.

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field.

This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications.

These proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff.

Por razones de carácter didáctico, este texto se ha organizado en tres bloques y dos apéndices.

This book is the result of various master and summer school courses the author has taught.

This book explores Lieb's Simplified approach to the ground state of systems of interacting bosons.

Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering.

The primary focus of this book is on explicating the direct method approach.

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada - Azores, from July 4-8, 2011 in honor of Professor Ravi P.

This volume convenes carefully selected, peer-reviewed papers presented at the BIOMAT 2023 International Symposium, which was virtually held on November 6-9, 2023, with an organization staff based in Rio de Janeiro, Brazil.

This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject.

Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus.

Over the years, a number of books have been written on the theory of functional equations.

Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields With a step-by-step approach to solving ordinary differential equations (ODEs), Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R successfully applies computational techniques for solving real-world ODE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology.

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville.

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification.

Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature.

This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics.

This book provides a single source for both students and advanced researchers on asymptotic methods employed in the linear problems of mathematical physics.

"e;Homotopy Analysis Method in Nonlinear Differential Equations"e; presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).

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

The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed.

This book represents the first attempt at a unified picture for the pres- ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out.

For courses in Differential Equations and Linear Algebra.

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville.

Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study.

Being a systematic treatment of the modern theory of stochastic integrals and stochastic differential equations, the theory is developed within the martingale framework, which was developed by J.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.

This book discusses the theory of third-order differential equations.

Numerical Solution of Ordinary and Partial Differential Equations is based on a summer school held in Oxford in August-September 1961.

The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis.

This textbook provides and introduction to numerical computing and its applications in science and engineering.

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or interfaces in random media) to senior undergraduates and beginning grad uate students with basic knowledge of partial differential equations (PDE) and prob ability.