6 edition of **Sobolev gradients and differential equations** found in the catalog.

- 329 Want to read
- 36 Currently reading

Published
**1997**
by Springer-Verlag in Berlin, New York
.

Written in English

- Sobolev gradients,
- Differential equations -- Numerical solutions

**Edition Notes**

Includes bibliographical references (p. [145]-149) and index.

Statement | J.W. Neuberger. |

Series | Lecture notes in mathematics ;, 1670, Lecture notes in mathematics (Springer-Verlag) ;, 1670. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1670, QA372 .L28 no. 1670 |

The Physical Object | |

Pagination | viii, 149 p. : |

Number of Pages | 149 |

ID Numbers | |

Open Library | OL690726M |

ISBN 10 | 3540635378 |

LC Control Number | 97037832 |

- Theory topics: calculus of variations, energy minimization, duality, Euler-Lagrange equations, total variation, functions of bounded variation, functionals with linear growth and with jumps, nonlocal total variation, nonlocal methods, geometric non-linear partial differential equations, oscillatory functions, Sobolev gradients. Sobolev Gradients and Differential Equations. Find all books from John Neuberger. At veterans-opex.com you can find used, antique and new books, compare results and immediately purchase your selection at the best price. A Sobolev gradient of a Brand: Springer Berlin.

process of understanding, as far as gradient systems are concerned. We believe that the class of gradient systems forms a fundamental class within the differential equations. The translation of evolution models into the mathematical language using ordinary or partial differential equations very often starts from ﬁrst principles like. Sobolev gradients and differential equations Home ; Sobolev gradients and differential equations Author: John Neuberger. 13 If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content .

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. # eBook A First Course In Sobolev Spaces Graduate Studies In Mathematics # Uploaded By Seiichi Morimura, a first course in sobolev spaces graduate studies in mathematics giovanni leoni hardcover 6 offers from functional analysis sobolev spaces and partial differential equations universitext haim brezis 48 out of 5 stars 7.

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A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations.

Sobolev Gradients and Differential Equations (Lecture Notes in Mathematics Book ) - Kindle edition by John Neuberger. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Sobolev Gradients and Differential Equations (Lecture Notes in Mathematics Book ).Manufacturer: Springer.

A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm.

This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discreteAuthor: John Neuberger. Buy Sobolev Gradients and Differential Equations (Lecture Notes in Mathematics) on veterans-opex.com FREE SHIPPING on qualified ordersCited by: The resulting system of partial differential equations are both coupled and highly non-linear, so the system is solved numerically using the Sobolev preconditioned descent.

Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.

Get this from a library. Sobolev gradients and differential equations. [J W Neuberger] -- A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm.

This book shows how descent methods using such. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients.

A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm.

This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly. The article explores the relationship between Sobolev gradients and H−1 mixed methods for a variety of partial differential equations (PDEs) from image veterans-opex.com: Walter Richardson.

In this paper we study the application of the Sobolev gradients technique to the problem of minimizing several Schrödinger functionals related to timely and difficult nonlinear problems in quantum mechanics and nonlinear veterans-opex.com by: A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm.

This book shows how descent methods using such gradients allow treatment of problems in differential equations. Paraphrasing V. Barbu, Nonlinear differential equations of monotone types in Banach spaces,Springer, p Let $1. SIAM Journal on Scientific Computing() Space-Dependent Sobolev Gradients as a Regularization for Inverse Radiative Transfer Problems.

NUMERICAL SOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS USING SOBOLEV GRADIENT METHODS. International Journal of Computational MethodsCited by: A. Sobolev: free download.

Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Partial Differential Equations of Mathematical Physics. Elsevier Ltd, Pergamon Press. A search query can be a title of the book, a name of the author, ISBN or anything else.

Linear and nonlinear singular differential equations have been treated using weighted Sobolev gradients and significant improvements have been achieved by careful consideration of the weighting. In this article, a weighted gradient approach has been applied to a nonlinear Poisson Boltzmann Equation (PBE) with discontinuous veterans-opex.com by: 4.

Sobolev Gradients and Differential Equations A Soblev gradient of a real-valued functional is one taken relative to the underlying Sobolev norm. This text looks at methods using such gradients which are shown to allow a unified treatment of a wide variety of problems in differential equations.

Sobolev gradients, unweighted or weighted, offer a competitive method for more complicated and irregular differential equations. The possibility of improvement exists with consideration of inner products different from, that will change the descent direction and may result in better veterans-opex.com by: 8.

Apr 01, · A Sobolev gradient method for treating the steady-state incompressible Navier-Stokes equations; A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equationsCited by: 4.

It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincaré inequality, and indicates numerous examples of spaces satisfying this axiom.

A distinguishing feature of the book is its focus on vector-valued Sobolev veterans-opex.com by:. equations calculus mathematics e-book for public exams numerical solution of partial differential equations by the finite element method e-study guide for introduction to linear algebra and differential equations by john w dettman nonlinear partial differential equations sobolev gradients and differential.Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics.

They form an indispensable tool in approximation theory, spectral theory, differential geometry etc.Abstract. A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations.