Differential Equations category: 700 books
by József Szilasi, Rezső L Lovas, Dávid Cs Kertész
Language: English
Release Date: August 16, 2013
Language: English
Release Date: August 16, 2013
This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry.
Prerequisites for reading the book are minimal: undergraduate...
by Claes Johnson
Language: English
Release Date: May 23, 2012
Language: English
Release Date: May 23, 2012
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties. 1987 edition.
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics
Language: English
Release Date: June 4, 2013
One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational...
by
Language: English
Release Date: December 22, 2014
Language: English
Release Date: December 22, 2014
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as...
by
Language: English
Release Date: February 21, 2002
Language: English
Release Date: February 21, 2002
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from
interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical...
Asymptotics of Elliptic and Parabolic PDEs
and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
Language: English
Release Date: May 25, 2018
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.
In more detail, the book presents the analytic methods and tools for...
Mathematical Theory of Compressible Viscous Fluids
Analysis and Numerics
Language: English
Release Date: November 25, 2016
This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the...
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012
Selected papers from the ICOSAHOM conference, June 25-29, 2012, Gammarth, Tunisia
Language: English
Release Date: November 19, 2013
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed...
by A. N. Tikhonov, A. A. Samarskii
Language: English
Release Date: September 16, 2013
Language: English
Release Date: September 16, 2013
Thorough, advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, special functions, more. Emphasis on mathematical formulation of problems, rigorous solutions, physical interpretation of results obtained. Problems. Appendixes. Tables.
by Alessandro Veneziani, Fausto Saleri, Luca Formaggia
Language: English
Release Date: April 5, 2012
Language: English
Release Date: April 5, 2012
This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University...
Mathematical Modelling in One Dimension
An Introduction via Difference and Differential Equations
Language: English
Release Date: February 21, 2013
Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find...
by
Language: English
Release Date: December 22, 2012
Language: English
Release Date: December 22, 2012
This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas,...
Brownian Dynamics at Boundaries and Interfaces
In Physics, Chemistry, and Biology
Language: English
Release Date: August 15, 2013
Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules...
Lévy Matters VI
Lévy-Type Processes: Moments, Construction and Heat Kernel Estimates
Language: English
Release Date: October 5, 2017
Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness...