Differential calculus and equations

This updated, second edition provides readers with an expanded treatment of the FEM as well as new information on recent trends in rapid prototyping technology.

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field.

This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces.

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24-28, 2019.

This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz 130 years ago.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

This textbook introduces some basic tools from the theory of monotone operators together with some of their applications.

This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.

This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field.

This book considers dynamic boundary value problems in domains with singularities of two types.

The articles in this collection are a sampling of some of the research presented during the conference "e;Stochastic Analysis and Related Topics"e;, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Banuelos.

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

This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.

This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.

This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals.

This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.

This study guide is designed for students taking courses in calculus.

This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes - non-orientable objects with a stratified structure.

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory.

This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017.

This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

The book collects the most relevant results from the INdAM Workshop "e;Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics"e; held in Rome, September 14-18, 2015.

The volume covers most of the topics addressed and discussed during the Workshop INdAM "e;Recent advances in kinetic equations and applications"e;, which took place in Rome (Italy), from November 11th to November 15th, 2019.

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.

This book studies solutions of the Polubarinova-Galin and Lowner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.

This volume provides an introduction to the theory of Mean Field Games, suggested by J.

This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16-20, 2015.

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis.

Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations.

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 monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers.

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

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function).

This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner.

This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampere and linearized Monge-Ampere equations.

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

This contributed volume contains a collection of articles on the most recent advances in integral methods.

Das vorliegende Lehrbuch enthält eine kompakte, in Vorlesungen erprobte Einführung in diese moderne Sichtweise der GDGn, wobei der klassische Stoff nicht vernachlässigt wird.

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role.