Geometric Modelling Numerical Simulation and Optimization

Author: Geir Hasle
Publisher: Springer Science & Business Media
ISBN: 3540687831
Format: PDF, ePub, Docs
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This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Splitting Methods for Partial Differential Equations with Rough Solutions

Author: Helge Holden
Publisher: European Mathematical Society
ISBN: 9783037190784
Format: PDF, ePub, Docs
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Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tacking. The theory is illustrated by numerous examples. There is a dedicated web page that provides MATLAB codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.

Hyperbolic Problems Contributed talks

Author: Eitan Tadmor
Publisher: American Mathematical Soc.
ISBN: 0821847309
Format: PDF, ePub, Docs
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The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, ``HYP2008'', was held at the University of Maryland from June 9-13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics. This book, the second in a two-part volume, contains more than sixty articles based on contributed talks given at the conference. The articles are written by leading researchers as well as promising young scientists and cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ``hyperbolic PDEs''. This volume will bring readers to the forefront of research in this most active and important area in applied mathematics.

Parallel Processing and Applied Mathematics Part I

Author: Roman Wyrzykowski
Publisher: Springer
ISBN: 3642143903
Format: PDF, ePub
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Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.

Electrokinetics for Petroleum and Environmental Engineers

Author: G. V. Chilingar
Publisher: John Wiley & Sons
ISBN: 1118842839
Format: PDF, ePub, Mobi
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Electrokinetics is a term applied to a group of physicochemicalphenomena involving the transport of charges, action of chargedparticles, effects of applied electric potential and fluidtransport in various porous media to allow for a desired migrationor flow to be achieved. These phenomena include electrokinetics,electroosmosis, ion migration, electrophoresis, streaming potentialand electroviscosity. These phenomena are closely related and allcontribute to the transport and migration of different ionicspecies and chemicals in porous media. The physicochemical andelectrochemical properties of a porous medium and the pore fluid,and the magnitudes of the applied electrical potential all impactthe direction and velocity of the fluid flow. Also, an electricalpotential is generated upon the forced passage of fluid carryingcharged particles through a porous medium. The use of electrokinetics in the field of petroleum andenvironmental engineering was groundbreaking when George Chilingarpioneered its use decades ago, but it has only been in recent yearsthat its full potential has been studied. This is the firstvolume of its kind ever written, offering the petroleum orenvironmental engineer a practical “how to” book onusing electrokinetics for more efficient and better oil recoveryand recovery from difficult reservoirs. This groundbreaking volume is a must-have for any petroleumengineer working in the field, and for students and faculty inpetroleum engineering departments worldwide.

Numerische Simulation in der Molek ldynamik

Author: Michael Griebel
Publisher: Springer-Verlag
ISBN: 364218779X
Format: PDF, Kindle
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Das Buch behandelt Methoden des wissenschaftlichen Rechnens in der Moleküldynamik, einem Bereich, der in vielen Anwendungen der Chemie, der Biowissenschaften, der Materialwissenschaften, insbesondere der Nanotechnologie, sowie der Astrophysik eine wichtige Rolle spielt. Es führt in die wichtigsten Simulationstechniken zur numerischen Behandlung der Newtonschen Bewegungsgleichungen ein. Der Schwerpunkt liegt hierbei auf der schnellen Auswertung kurz- und langreichweitiger Kräfte mittels Linked Cell-, P$/\3$M-, Baum- und Multipol-Verfahren, sowie deren paralleler Implementierung und Lastbalancierung auf Rechensystemen mit verteiltem Speicher. Die einzelnen Kapitel beinhalten darüberhinaus detailierte Hinweise, um die Verfahren Schritt für Schritt in ein Programmpaket umzusetzen. In zahlreichen farbigen Abbildungen werden Simulationsergebnisse für eine Reihe von Anwendungen präsentiert.