Geometric modelling, numerical simulation, and optimization : applied mathematics at SINTEF
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Bibliographic Information
Geometric modelling, numerical simulation, and optimization : applied mathematics at SINTEF
SINTEF ICT, Applied Mathematics , Springer, c2007
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Welcome to the World of SINTEF Applied Mathematics!
Tore Gimse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Part I Geometrical Modelling
Building an Ontology of CAD Model Information
Odd A. Andersen, George Vasilakis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Intersection Algorithms and CAGD
Tor Dokken, Vibeke Skytt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Surface Modelling of Neuronal Populations and Brain
Structures: Use of Implicitly Represented Geometries
Jens O. Nygaard, Jan G. Bjaalie, Simen Gaure, Christian Pettersen,
Helge Avlesen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
An Introduction to General-Purpose Computing on
Programmable Graphics Hardware
Tor Dokken, Trond Runar Hagen, Jon Mikkelsen Hjelmervik . . . . . . . . . . 123
Real-Time Algebraic Surface Visualization
Johan Simon Seland, Tor Dokken . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
Part II Numerical Simulation
Weakly Nonlinear Sea Surface Waves -- Freak Waves and
Deterministic Forecasting
Karsten Trulsen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187
How to Solve Systems of Conservation Laws Numerically
Using the Graphics Processor as a High-Performance
Computational Engine
Trond Runar Hagen, Martin O. Henriksen, Jon M. Hjelmervik,
Knut Andreas Lie. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207
An Introduction to the Numerics of Flow in Porous Media
using Matlab
Jorg E. Aarnes, Tore Gimse, Knut Andreas Lie . . . . . . . . . . . . . . . . . . . . . 261
Modelling of Multiscale Structures in FlowSimulations for
Petroleum Reservoirs
Jorg E. Aarnes, Vegard Kippe, Knut Andreas Lie, Alf Birger Rustad . . . 303
Modelling of Stratified Geophysical Flows over Variable
Topography
Torbjorn Utnes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 357
Part III Optimization
Industrial Vehicle Routing
Geir Hasle, Oddvar Kloster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391
Solving the Long-Term Forest Treatment Scheduling Problem
Martin Stolevik, Geir Hasle, Oddvar Kloster. . . . . . . . . . . . . . . . . . . . . . . . . 427
An Integer Programming Approach to Image Segmentation
and Reconstruction Problems
Geir Dahl, Truls Flatberg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 461
The Impacts of By-products on Optimal Supply Chain Design
Marielle Christiansen and Roar Gronhaug . . . . . . . . . . . . . . . . . . . . . . . . . . 481
Optimization Models for the Natural Gas Value Chain
Asgeir Tomasgard, Frode Romo, Marte Fodstad, Kjetil Midthun . . . . . . . . 503
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