Geometric Modelling Numerical Simulation and Optimization

Author: Geir Hasle
Publisher: Springer Science & Business Media
ISBN: 3540687831
Format: PDF, 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, 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.

Energy Natural Resources and Environmental Economics

Author: Endre Bjørndal
Publisher: Springer Science & Business Media
ISBN: 9783642120671
Format: PDF
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This book consists of a collection of articles describing the emergingand integrated area of Energy,Natural Resourcesand EnvironmentalEconomics.A majority of the authors are researchers doing applied work in economics, nance, and management science and are based in the Nordic countries. These countries have a long tradition of managing natural resources. Many of the applications are therefore founded on such examples. The book contents are based on a workshop that took place during May 15–16, 2008 in Bergen, Norway. The aim of the workshop was to create a meeting place for researchers who are active in the area of Energy, Natural Resource, and En- ronmentalEconomics,andat the same time celebrate ProfessorKurtJorns ̈ ten’s60th birthday. Thebookis dividedintofourparts. The rst part considerspetroleumandnatural gas applications, taking up topics ranging from the management of incomes and reserves to market modeling and value chain optimization. The second and most extensive part studies applications from electricity markets, including analyses of market prices, risk management, various optimization problems, electricity market design, and regulation. The third part describes different applications in logistics and management of natural resources. Finally, the fourth part covers more general problems and methods arising within the area.

Electrokinetics for Petroleum and Environmental Engineers

Author: George V. Chilingar
Publisher: John Wiley & Sons
ISBN: 1118842839
Format: PDF, ePub, Docs
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Electrokinetics is a term applied to a group of physicochemical phenomena involving the transport of charges, action of charged particles, effects of applied electric potential and fluid transport in various porous media to allow for a desired migration or flow to be achieved. These phenomena include electrokinetics, electroosmosis, ion migration, electrophoresis, streaming potential and electroviscosity. These phenomena are closely related and all contribute to the transport and migration of different ionic species and chemicals in porous media. The physicochemical and electrochemical properties of a porous medium and the pore fluid, and the magnitudes of the applied electrical potential all impact the direction and velocity of the fluid flow. Also, an electrical potential is generated upon the forced passage of fluid carrying charged particles through a porous medium. The use of electrokinetics in the field of petroleum and environmental engineering was groundbreaking when George Chilingar pioneered its use decades ago, but it has only been in recent years that its full potential has been studied. This is the first volume of its kind ever written, offering the petroleum or environmental engineer a practical “how to” book on using electrokinetics for more efficient and better oil recovery and recovery from difficult reservoirs. This groundbreaking volume is a must-have for any petroleum engineer working in the field, and for students and faculty in petroleum engineering departments worldwide.

Graphs Dioids and Semirings

Author: Michel Gondran
Publisher: Springer Science & Business Media
ISBN: 0387754504
Format: PDF, Docs
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The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.

Advanced Modelling in Mathematical Finance

Author: Jan Kallsen
Publisher: Springer
ISBN: 3319458752
Format: PDF, ePub, Docs
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This Festschrift resulted from a workshop on “Advanced Modelling in Mathematical Finance” held in honour of Ernst Eberlein’s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein’s long-standing collaborators and former students. Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments.

Safety and Reliability of Complex Engineered Systems

Author: Luca Podofillini
Publisher: CRC Press
ISBN: 1315648415
Format: PDF
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Safety and Reliability of Complex Engineered Systems contains the Proceedings of the 25th European Safety and Reliability Conference, ESREL 2015, held 7-10 September 2015 in Zurich, Switzerland. It includes about 570 papers accepted for presentation at the conference. These contributions focus on theories and methods in the area of risk, safety and reliability, and their applications to a wide range of industrial, civil and social sectors. The main goal of this book is to showcase the advancements in understanding, modeling and management of complex engineered systems. The book offers a multidisciplinary platform to address technological, societal and financial aspects of system safety and reliability. Emphasis is given to the intra- and interdependencies of functions and the cascading failures that characterize complex engineered systems. Safety and Reliability of Complex Engineered Systems (abstracts book 730 pages + full paper CD-ROM 4634 pages) will be of interest to academics and professionals involved or interested in aspect of risk, safety and reliability in various engineering areas.

Multiscale Modeling and Simulation in Science

Author: Björn Engquist
Publisher: Springer Science & Business Media
ISBN: 3540888578
Format: PDF, ePub
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Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.