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Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations


Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations
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Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations


Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations
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Author :
language : en
Publisher:
Release Date : 1998

Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations


Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations
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Author : B. Cockburn
language : en
Publisher: Springer
Release Date : 2006-11-14

Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations written by B. Cockburn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


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.



Acta Numerica 2003 Volume 12


Acta Numerica 2003 Volume 12
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-15

Acta Numerica 2003 Volume 12 written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-15 with Juvenile Nonfiction categories.


An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.



Combinatorial Stochastic Processes


Combinatorial Stochastic Processes
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Author : Jim Pitman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-11

Combinatorial Stochastic Processes written by Jim Pitman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-11 with Mathematics categories.


The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.



Nonlinear And Optimal Control Theory


Nonlinear And Optimal Control Theory
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Author : Andrei A. Agrachev
language : en
Publisher: Springer
Release Date : 2008-06-24

Nonlinear And Optimal Control Theory written by Andrei A. Agrachev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-24 with Science categories.


The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.



Lectures On Topological Fluid Mechanics


Lectures On Topological Fluid Mechanics
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Author : Mitchell A. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05

Lectures On Topological Fluid Mechanics written by Mitchell A. Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-05 with Language Arts & Disciplines categories.


This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics to DNA tangles and knotted DNAs in sedimentation.



Mixed Finite Elements Compatibility Conditions And Applications


Mixed Finite Elements Compatibility Conditions And Applications
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Author : Daniele Boffi
language : en
Publisher: Springer
Release Date : 2008-04-01

Mixed Finite Elements Compatibility Conditions And Applications written by Daniele Boffi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-01 with Mathematics categories.


Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.



Spde In Hydrodynamics Recent Progress And Prospects


Spde In Hydrodynamics Recent Progress And Prospects
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Author : Sergio Albeverio
language : en
Publisher: Springer
Release Date : 2008-04-01

Spde In Hydrodynamics Recent Progress And Prospects written by Sergio Albeverio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-01 with Mathematics categories.


Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.



Transseries And Real Differential Algebra


Transseries And Real Differential Algebra
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Author : Joris van der Hoeven
language : en
Publisher: Springer
Release Date : 2006-10-31

Transseries And Real Differential Algebra written by Joris van der Hoeven and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-31 with Mathematics categories.


Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.



The Wulff Crystal In Ising And Percolation Models


The Wulff Crystal In Ising And Percolation Models
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Author : Raphaël Cerf
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-12

The Wulff Crystal In Ising And Percolation Models written by Raphaël Cerf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-12 with Mathematics categories.


This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.