The Immersed Interface Method
The Immersed Interface Method

Author: Zhilin Li

Publisher: SIAM

Published: 2006-01-01

Total Pages: 348

ISBN-13: 9780898717464

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This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.

The Immersed Interface Method
The Immersed Interface Method

Author: Zhilin Li

Publisher: SIAM

Published: 2006-07-01

Total Pages: 343

ISBN-13: 0898716098

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"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Author: Robert M. Kirby

Publisher: Springer

Published: 2015-11-26

Total Pages: 504

ISBN-13: 3319198009

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The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.

Advances in Applied Mathematics, Modeling, and Computational Science
Advances in Applied Mathematics, Modeling, and Computational Science

Author: Roderick Melnik

Publisher: Springer Science & Business Media

Published: 2012-09-22

Total Pages: 248

ISBN-13: 1461453895

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The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Numerical Analysis and Its Applications
Numerical Analysis and Its Applications

Author: Svetozar Margenov

Publisher: Springer Science & Business Media

Published: 2009-03-09

Total Pages: 646

ISBN-13: 3642004636

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This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.

Progress in Industrial Mathematics at ECMI 2002
Progress in Industrial Mathematics at ECMI 2002

Author: Andris Buikis

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 389

ISBN-13: 3662095106

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This volume contains the proceedings of the twelfth conference of the Euro pean Consortium for Mathematics in Industry. ECMI was founded in 1986 in to foster research and education in Mathematics in Industry in Europe order and these biannual conferences are the show case for ECMI's research. It is a pleasure to see that six of the plenary speakers have submitted papers for this volume. Their contributions illustrate the breadth of applica tions and the variety of mathematical and computational techniques that are embraced by ECMI. ECMI is also committed to the education of students and it is encouraging that a number of the papers are given by students. The Wacker Prize, which is offered for a Masters Level thesis on an industrial problem, always attracts excellent entries and this year's winner, Nicole Marheineke, is no exception. This is the first time that an ECMI conference has been held in Eastern Europe and the ECMI Council is very grateful to Professor Andris Buikis and his colleagues in Latvia and Lithuania for the excellent job they have done. Thanks too go to the European Union which supported 30 delegates at this conference via TMR Contract No ERBFMRXCT 97-0117 'Differential Equations in Industry and Commerce'. The final meeting of this network was held during this conference which provided a platform for network members to describe their work to a wider audience.

Moving Interface Problems and Applications in Fluid Dynamics
Moving Interface Problems and Applications in Fluid Dynamics

Author: Boo Cheong Khoo

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 202

ISBN-13: 0821842676

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This volume is a collection of research papers presented at the program on Moving Interface Problems and Applications in Fluid Dynamics, which was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences (IMS) of the National University of Singapore. The topics discussed include modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications including biological treatments with experimental verification, multi-medium flow or multi-phase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. Readers can benefit from some recent research results in these areas.