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Author | : Vicenţiu D. Rădulescu |
Publisher | : American Mathematical Soc. |
Total Pages | : 418 |
Release | : 2016-06-28 |
Genre | : Mathematics |
ISBN | : 1470415216 |
Download Recent Advances in Partial Differential Equations and Applications Book in PDF, ePub and Kindle
This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirão da Veiga on the field of partial differential equations, in particular those related to fluid dynamics. In his own work, da Veiga has been a seminal influence in many important areas: Navier-Stokes equations, Stokes systems, non-Newtonian fluids, Euler equations, regularity of solutions, perturbation theory, vorticity phenomena, and nonlinear potential theory, as well as various degenerate or singular models in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.
Author | : Juan Luis García Guirao |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 2019-01-04 |
Genre | : Mathematics |
ISBN | : 3030003418 |
Download Recent Advances in Differential Equations and Applications Book in PDF, ePub and Kindle
This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.
Author | : Xiaobing Feng |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 082182970X |
Download Recent Advances in Numerical Methods for Partial Differential Equations and Applications Book in PDF, ePub and Kindle
This book is derived from lectures presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. The topic was computational mathematics, focusing on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Compiled here are articles from six of nine speakers. Each of them is a leading researcher in the field of computational mathematics and its applications. A vast area that has been coming into its own over the past 15 years, computational mathematics has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. With the aid of powerful high performance computers, numerical simulation of physical phenomena is the only feasible method for analyzing many types of important phenomena, joining experimentation and theoretical analysis as the third method of scientific investigation. The three aspects: applications, theory, and computer implementation comprise a comprehensive overview of the topic. Leading lecturers were Mary Wheeler on applications, Jinchao Xu on theory, and David Keyes on computer implementation. Following the tradition of the Barrett Lectures, these in-depth articles and expository discussions make this book a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.
Author | : E. C. Zachmanoglou |
Publisher | : Courier Corporation |
Total Pages | : 434 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613217X |
Download Introduction to Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Author | : H-H Dai |
Publisher | : CRC Press |
Total Pages | : 260 |
Release | : 2020-01-30 |
Genre | : Mathematics |
ISBN | : 1000724549 |
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The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:
Author | : Michael Demuth |
Publisher | : Wiley-VCH |
Total Pages | : 436 |
Release | : 1999-04-22 |
Genre | : Computers |
ISBN | : |
Download Evolution Equations, Feshbach Resonances, Singular Hodge Theory Book in PDF, ePub and Kindle
Evolution equations describe many processes in science and engineering, and they form a central topic in mathematics. The first three contributions to this volume address parabolic evolutionary problems: The opening paper treats asymptotic solutions to singular parabolic problems with distribution and hyperfunction data. The theory of the asymptotic Laplace transform is developed in the second paper and is applied to semigroups generated by operators with large growth of the resolvent. An article follows on solutions by local operator methods of time-dependent singular problems in non-cylindrical domains. The next contribution addresses spectral properties of systems of pseudodifferential operators when the characteristic variety has a conical intersection. Bohr-Sommerfeld quantization rules and first order exponential asymptotics of the resonance widths are established under various semiclassical regimes. In the following article, the limiting absorption principle is proven for certain self-adjoint operators. Applications include Hamiltonians with magnetic fields, Dirac Hamiltonians, and the propagation of waves in inhomogeneous media. The final topic develops Hodge theory on manifolds with edges; its authors introduce a concept of elliptic complexes, prove a Hodge decomposition theorem, and study the asymptotics of harmonic forms.
Author | : Concepción Muriel |
Publisher | : Springer Nature |
Total Pages | : 102 |
Release | : 2021-03-13 |
Genre | : Mathematics |
ISBN | : 3030618757 |
Download Recent Advances in Differential Equations and Control Theory Book in PDF, ePub and Kindle
This book collects the latest results and new trends in the application of mathematics to some problems in control theory, numerical simulation and differential equations. The work comprises the main results presented at a thematic minisymposium, part of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), held in Valencia, Spain, from 15 to 18 July 2019. The topics covered in the 6 peer-review contributions involve applications of numerical methods to real problems in oceanography and naval engineering, as well as relevant results on switching control techniques, which can have multiple applications in industrial complexes, electromechanical machines, biological systems, etc. Problems in control theory, as in most engineering problems, are modeled by differential equations, for which standard solving procedures may be insufficient. The book also includes recent geometric and analytical methods for the search of exact solutions for differential equations, which serve as essential tools for analyzing problems in many scientific disciplines.
Author | : Eugenia N. Petropoulou |
Publisher | : Bentham Science Publishers |
Total Pages | : 149 |
Release | : 2010-12-13 |
Genre | : Mathematics |
ISBN | : 1608051528 |
Download Some Recent Advances in Partial Difference Equations Book in PDF, ePub and Kindle
Lately there is an increasing interest in partial difference equations demonstrated by the enormous amount of research papers devoted to them. The initial reason for this increasing interest was the development of computers and the area of numerical analy
Author | : María Luz Muñoz-Ruiz |
Publisher | : Springer Nature |
Total Pages | : 269 |
Release | : 2021-05-25 |
Genre | : Mathematics |
ISBN | : 3030728501 |
Download Recent Advances in Numerical Methods for Hyperbolic PDE Systems Book in PDF, ePub and Kindle
The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.
Author | : Luis López Bonilla |
Publisher | : American Mathematical Soc. |
Total Pages | : 250 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821842110 |
Download Recent Advances in Nonlinear Partial Differential Equations and Applications Book in PDF, ePub and Kindle
The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier-Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.