Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations PDF full book. Access full book title Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by Ivo Babuska. Download full books in PDF and EPUB format.
Author: Ivo Babuska
Publisher:
ISBN: 9781461242499
Category :
Languages : en
Pages : 508
Get Book Here
Book Description
Author: Ivo Babuska
Publisher:
ISBN: 9781461242499
Category :
Languages : en
Pages : 508
Get Book Here
Book Description
Author: Ivo Babuska
Publisher: Springer Science & Business Media
ISBN: 1461242487
Category : Mathematics
Languages : en
Pages : 487
Get Book Here
Book Description
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Author: Michael Griebel
Publisher: Springer Science & Business Media
ISBN: 3642561039
Category : Mathematics
Languages : en
Pages : 468
Get Book Here
Book Description
Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and the coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering.
Author: Uwe Naumann
Publisher: CRC Press
ISBN: 1439827354
Category : Computers
Languages : en
Pages : 602
Get Book Here
Book Description
Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures. It includes contributions from international researchers who are pioneers in designing software and applications for high-performance computing systems. The book offers a state-of-the-art overview of the latest research, tool development, and applications. It focuses on load balancing and parallelization on high-performance computers, large-scale optimization, algorithmic differentiation of numerical simulation code, sparse matrix software tools, and combinatorial challenges and applications in large-scale social networks. The authors unify these seemingly disparate areas through a common set of abstractions and algorithms based on combinatorics, graphs, and hypergraphs. Combinatorial algorithms have long played a crucial enabling role in scientific and engineering computations and their importance continues to grow with the demands of new applications and advanced architectures. By addressing current challenges in the field, this volume sets the stage for the accelerated development and deployment of fundamental enabling technologies in high-performance scientific computing.
Author: Petter Bjorstad
Publisher: Springer Science & Business Media
ISBN: 146121176X
Category : Mathematics
Languages : en
Pages : 309
Get Book Here
Book Description
This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computers offer the promise of greatly increased perfor mance and the routine calculation of previously intractable problems. The papers in this volume were presented at the IMA workshop on the Paral lel Solution of PDE held during June 9-13, 1997. The workshop brought together leading numerical analysts, computer scientists, and engineers to assess the state-of-the-art and to consider future directions.
Author: Vassil N. Alexandrov
Publisher: Springer
ISBN: 3540457186
Category : Computers
Languages : en
Pages : 1068
Get Book Here
Book Description
LNCS volumes 2073 and 2074 contain the proceedings of the International Conference on Computational Science, ICCS 2001, held in San Francisco, California, May 27-31, 2001. The two volumes consist of more than 230 contributed and invited papers that reflect the aims of the conference to bring together researchers and scientists from mathematics and computer science as basic computing disciplines, researchers from various application areas who are pioneering advanced application of computational methods to sciences such as physics, chemistry, life sciences, and engineering, arts and humanitarian fields, along with software developers and vendors, to discuss problems and solutions in the area, to identify new issues, and to shape future directions for research, as well as to help industrial users apply various advanced computational techniques.
Author: C. A. Brebbia
Publisher: WIT Press
ISBN: 1845640845
Category : Mathematics
Languages : en
Pages : 929
Get Book Here
Book Description
Containing papers presented at the Thirteenth International Conference in this well established series on (CMEM) Computational Methods and Experimental Measurements. These proceedings review state-of-the-art developments on the interaction between numerical methods and experimental measurements.Featured topics include: Computational and Experimental Methods; Experimental and Computaqional Analysis; Computer Interaction and Control of Experiments; Direct, Indirect and In-Situ Measurements; Particle Methods; Structural and Stress Analysis; Structural Dynamics; Dynamics and Vibrations; Electrical and Electromagnetic Applications; Biomedical Applications; Heat Transfer; Thermal Processes; Fluid Flow; Data Acquisition; Remediation and Processing and Industrial Applications.
Author: Christopher K.R.T. Jones
Publisher: Springer Science & Business Media
ISBN: 1461301173
Category : Mathematics
Languages : en
Pages : 278
Get Book Here
Book Description
Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few. This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple time scale systems. Their role in the slow motion of fronts, bifurcations, and jumping between invariant tori are all explored here. Neurobiology has played a particularly stimulating role in the development of these techniques and one paper is directed specifically at applying geometric singular perturbation theory to reveal the synchrony in networks of neural oscillators.
Author: Carlos Castillo-Chavez
Publisher: Springer Science & Business Media
ISBN: 9780387953540
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
Book Description
This book grew out of the discussions and presentations that began during the Workshop on Emerging and Reemerging Diseases (May 17-21, 1999) sponsored by the Institute for Mathematics and its Application (IMA) at the University of Minnesota with the support of NIH and NSF. The workshop started with a two-day tutorial session directed at ecologists, epidemiologists, immunologists, mathematicians, and scientists interested in the study of disease dynamics. The core of this first volume, Volume 125, covers tutorial and research contributions on the use of dynamical systems (deterministic discrete, delay, PDEs, and ODEs models) and stochastic models in disease dynamics. The volume includes the study of cancer, HIV, pertussis, and tuberculosis. Beginning graduate students in applied mathematics, scientists in the natural, social, or health sciences or mathematicians who want to enter the fields of mathematical and theoretical epidemiology will find this book useful.
Author: Brenda Dietrich
Publisher: Springer Science & Business Media
ISBN: 9780387953595
Category : Business & Economics
Languages : en
Pages : 190
Get Book Here
Book Description
The use of the internet for commerce has spawned a variety of auctions, marketplaces, and exchanges for trading everything from bandwidth to books. Mechanisms for bidding agents, dynamic pricing, and combinatorial bids are being implemented in support of internet-based auctions, giving rise to new versions of optimization and resource allocation models. This volume, a collection of papers from an IMA "Hot Topics" workshop in internet auctions, includes descriptions of real and proposed auctions, complete with mathematical model formulations, theoretical results, solution approaches, and computational studies. This volume also provides a mathematical programming perspective on open questions in auction theory, and provides a glimpse of the growing area of dynamic pricing.
