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A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media


A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media
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A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media


A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media
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Author : David W. Dean
language : en
Publisher:
Release Date : 2005

A Semimartingale Approach For Modeling Multiphase Flow In Heterogenous Porous Media written by David W. Dean and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fluids categories.


This paper is a follow-up to Dean and Russell's in which the formulation of a model of NAPL (Non-Aqueous Phase Liquid) flow in heterogeneous porous media is based on the traditional argument of developing a Fokker-Planck equation for a diffusion process and then modifying this equation to handle the behavior of the fluid particle at an interface between sands of different permeabilities. In this paper, an attempt is made to accomplish the same result starting with a theory of stochastic processes that allows jumps.--Authors' abstract.



A Stochastic Differential Equation Approach For Modeling Of Napl Flow In Heterogeneous Porous Media


A Stochastic Differential Equation Approach For Modeling Of Napl Flow In Heterogeneous Porous Media
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Author : David W. Dean
language : en
Publisher:
Release Date : 2005

A Stochastic Differential Equation Approach For Modeling Of Napl Flow In Heterogeneous Porous Media written by David W. Dean and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Multiphase flow categories.


Presents a stochastic differential equation approach to multiphase flow, a typical example of which is flow in the unsaturated domain. Specifically, a two phase problem is studied which consists of a wetting phase and a nonwetting phase. The approach given results in a nonlinear stochastic differential equation describing the position of the non-wetting phase fluid particle.



Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods


Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods
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Author : Jan Mandel
language : en
Publisher:
Release Date : 2005

Adaptive Coarse Space Selection In The Bddc And The Feti Dp Iterative Substructuring Methods written by Jan Mandel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Decomposition method categories.


"We propose adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods by adding coarse degrees of freedom (dofs) on faces between substructures constructed using eigenvectors associated with the faces."--Authors' abstract.



Demonstrating The Validity Of A Wildfire Ddas


Demonstrating The Validity Of A Wildfire Ddas
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Author : Craig C. Douglas
language : en
Publisher:
Release Date : 2006

Demonstrating The Validity Of A Wildfire Ddas written by Craig C. Douglas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Weather forecasting categories.


"We report on an ongoing effort to build a Dynamic Data Driven Application System (DDDAS) for short-range forecast of weather and wildfire behavior from real-time weather data, images, and sensor streams. The system changes the forecast as new data is received. We encapsulate the model code and apply an ensemble Kalman filter in time-space with a highly parallel implementation. In this paper, we discuss how we will demonstrate that our system works using a DDDAS testbed approach and data collected from an earlier fire."--Authors' abstract.



Symbolic Numeric Computation


Symbolic Numeric Computation
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Author : Dongming Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Symbolic Numeric Computation written by Dongming Wang 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 2007-06-25 with Mathematics categories.


The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.



Russian English Dictionary Of The Mathematical Sciences


Russian English Dictionary Of The Mathematical Sciences
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Author : A. J. Lohwater
language : en
Publisher:
Release Date : 1961

Russian English Dictionary Of The Mathematical Sciences written by A. J. Lohwater and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Mathematics categories.




Variational Principles Of Continuum Mechanics


Variational Principles Of Continuum Mechanics
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Author : Victor Berdichevsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-18

Variational Principles Of Continuum Mechanics written by Victor Berdichevsky 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 2009-09-18 with Science categories.


Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.



Integral Equation Methods In Scattering Theory


Integral Equation Methods In Scattering Theory
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Author : David Colton
language : en
Publisher: SIAM
Release Date : 2013-11-15

Integral Equation Methods In Scattering Theory written by David Colton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-15 with Mathematics categories.


This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.



Energy Methods For Free Boundary Problems


Energy Methods For Free Boundary Problems
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Author : S.N. Antontsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-10-26

Energy Methods For Free Boundary Problems written by S.N. Antontsev 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 2001-10-26 with Technology & Engineering categories.


For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.



Rings Of Analytic Functions


Rings Of Analytic Functions
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Author : John Wermer
language : en
Publisher:
Release Date : 1957

Rings Of Analytic Functions written by John Wermer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Analytic functions categories.