Differential calculus and equations

This book contains a first systematic study of compressible fluid flows subject to stochastic forcing.

This monograph offers the first systematic account of (metric) regularity theory in variational analysis.

The theory of General Relativity, after its invention by Albert Einstein, remained for many years a monument of mathemati- cal speculation, striking in its ambition and its formal beauty, but quite separated from the main stream of modern Physics, which had centered, after the early twenties, on quantum mechanics and its applications.

A collection of self contained, state-of-the-art surveys.

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations.

This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland.

This book presents new developments  in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences.

This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches.

This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows.

The present work grew out of a study of the Maslov class (e.

ThisresearchmonographdevelopstheHamilton-Jacobi-Bellman(HJB)theory viathedynamicprogrammingprincipleforaclassofoptimalcontrolproblems for stochastic hereditary di?

This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods.

Differential Equations are very important tools in Mathematical Analysis.

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Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry.

This unique book on ordinary differential equations addresses practical issues of composing and solving such equations by large number of examples and homework problems with solutions.

This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics.

This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes.

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.

It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner.

With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

"e;Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy.

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018.

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.

Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "e;Mathematics and Physics for Science and Technology,"e; which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results.

A collection of self contained state-of-the art surveys.

Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations.

This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm-Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations).

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation.

In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible.

This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents.

This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sao Paulo, Campus Ribeirao Preto, Brazil, on July 17-21, 2023.

Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems.

This Brief reports on heat transfer from a solid boundary in a saturated porous medium.

Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications.

Multivariate integration has been a fundamental subject in mathematics, with broad connections to a number of areas: numerical analysis, approximation theory, partial differential equations, integral equations, harmonic analysis, etc.

This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians.

This book discusses major topics and problems in finite element methods.

Explore Theory and Techniques to Solve Physical, Biological, and Financial Problems Since the first edition was published, there has been a surge of interest in stochastic partial differential equations (PDEs) driven by the Levy type of noise.

The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects.

The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators.

This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions.