Differential calculus and equations

The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods.

The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods.

This book is dedicated to exploring optimization problems of geometric-analytic nature, which are fundamental to tackling various unresolved questions in mathematics and physics.

This book is dedicated to exploring optimization problems of geometric-analytic nature, which are fundamental to tackling various unresolved questions in mathematics and physics.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges.

This edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University.

This edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University.

This text lays the foundation for understanding the beauty and power of discrete-time models.

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed.

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering.

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering.

This monograph provides an account of thermal convection with a focus on Cattaneo's heat flux equation.

This study guide is designed for students taking courses in engineering mathematics and mathematical methods in science.

This study guide is designed for students taking courses in engineering mathematics and mathematical methods in science.

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

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

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM).

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM).

The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications.

The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications.

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs.

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs.

This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience.

This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience.

The book, based on the INdAM Workshop "e;Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology"e; provides a bridge between different communities of mathematicians who utilize splines in their work.

The book, based on the INdAM Workshop "e;Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology"e; provides a bridge between different communities of mathematicians who utilize splines in their work.

This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ?

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems.

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems.

This book presents a collection of high-quality papers in applied and numerical mathematics, as well as approximation theory, all closely related to Wolfgang Dahmen's scientific contributions.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Cote d'Ivoire from May 22-26, 2023.

This book introduces a unified implementation of bond- and state-based peridynamic theory (PD) within a commercial finite element framework, Ansys, utilizing its native elements.

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 monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis.

This monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis.

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 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 textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus.

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

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

This textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus.

This textbook introduces topological defects and solitons at a level suitable for advanced undergraduates and beginning graduate students in physics and materials science.