Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

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  • Author : B. Cockburn
  • Publisher : Springer
  • Pages : 454 pages
  • ISBN : 3540498044
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Download or Read online Advanced Numerical Approximation of Nonlinear Hyperbolic Equations full in PDF, ePub and kindle. this book written by B. Cockburn and published by Springer which was released on 14 November 2006 with total page 454 pages. We cannot guarantee that Advanced Numerical Approximation of Nonlinear Hyperbolic Equations book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
  • Author : B. Cockburn,C. Johnson,C.-W. Shu,E. Tadmor
  • Publisher : Springer
  • Release : 14 November 2006
GET THIS BOOK Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are

Numerical Mathematics and Advanced Applications

Numerical Mathematics and Advanced Applications
  • Author : Alfredo Bermúdez de Castro,Dolores Gómez,Peregrina Quintela,Pilar Salgado
  • Publisher : Springer Science & Business Media
  • Release : 08 October 2007
GET THIS BOOK Numerical Mathematics and Advanced Applications

These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.

Partial Differential Equations

Partial Differential Equations
  • Author : D. Sloan,S. Vandewalle,E. Süli
  • Publisher : Elsevier
  • Release : 02 December 2012
GET THIS BOOK Partial Differential Equations

/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering, and by the rapid development of computer hardware and

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
  • Author : Rainer Ansorge,Hester Bijl,Andreas Meister,Thomas Sonar
  • Publisher : Springer Science & Business Media
  • Release : 14 September 2012
GET THIS BOOK Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.

Numerical Solutions of Partial Differential Equations

Numerical Solutions of Partial Differential Equations
  • Author : Silvia Bertoluzza,Silvia Falletta,Giovanni Russo,Chi-Wang Shu
  • Publisher : Springer Science & Business Media
  • Release : 13 March 2009
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This book presents some of the latest developments in numerical analysis and scientific computing. Specifically, it covers central schemes, error estimates for discontinuous Galerkin methods, and the use of wavelets in scientific computing.

Hyperbolic Partial Differential Equations

Hyperbolic Partial Differential Equations
  • Author : Peter D. Lax
  • Publisher : American Mathematical Soc.
  • Release : 25 September 2022
GET THIS BOOK Hyperbolic Partial Differential Equations

The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and

Numerical Methods for Conservation Laws

Numerical Methods for Conservation Laws
  • Author : Jan S. Hesthaven
  • Publisher : SIAM
  • Release : 30 January 2018
GET THIS BOOK Numerical Methods for Conservation Laws

Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms: offers the first comprehensive introduction

Spectral Methods for Time Dependent Problems

Spectral Methods for Time Dependent Problems
  • Author : Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb
  • Publisher : Cambridge University Press
  • Release : 11 January 2007
GET THIS BOOK Spectral Methods for Time Dependent Problems

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (

Mathematics of Complexity and Dynamical Systems

Mathematics of Complexity and Dynamical Systems
  • Author : Robert A. Meyers
  • Publisher : Springer Science & Business Media
  • Release : 05 October 2011
GET THIS BOOK Mathematics of Complexity and Dynamical Systems

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior

Numerical Data Fitting in Dynamical Systems

Numerical Data Fitting in Dynamical Systems
  • Author : Klaus Schittkowski
  • Publisher : Springer Science & Business Media
  • Release : 05 June 2013
GET THIS BOOK Numerical Data Fitting in Dynamical Systems

Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain

Hyperbolic and Kinetic Models for Self organised Biological Aggregations

Hyperbolic and Kinetic Models for Self organised Biological Aggregations
  • Author : Raluca Eftimie
  • Publisher : Springer
  • Release : 07 January 2019
GET THIS BOOK Hyperbolic and Kinetic Models for Self organised Biological Aggregations

This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly