|
Showing 1 - 15 of
15 matches in All Departments
Every day we need to solve large problems for which supercomputers
are needed. High performance computing (HPC) is a paradigm that
allows to efficiently implement large-scale computational tasks on
powerful supercomputers unthinkable without optimization. We try to
minimize our effort and to maximize the achieved profit. Many
challenging real world problems arising in engineering, economics,
medicine and other areas can be formulated as large-scale
computational tasks. The volume is a comprehensive collection of
extended contributions from the High performance computing
conference held in Borovets, Bulgaria, September 2019. This book
presents recent advances in high performance computing. The topics
of interest included into this volume are: HP software tools,
Parallel Algorithms and Scalability, HPC in Big Data analytics,
Modelling, Simulation & Optimization in a Data Rich
Environment, Advanced numerical methods for HPC, Hybrid parallel or
distributed algorithms. The volume is focused on important
large-scale applications like Environmental and Climate Modeling,
Computational Chemistry and Heuristic Algorithms.
Every day we need to solve large problems for which supercomputers
are needed. High performance computing (HPC) is a paradigm that
allows to efficiently implement large-scale computational tasks on
powerful supercomputers unthinkable without optimization. We try to
minimize our effort and to maximize the achieved profit. Many
challenging real world problems arising in engineering, economics,
medicine and other areas can be formulated as large-scale
computational tasks. The volume is a comprehensive collection of
extended contributions from the High performance computing
conference held in Borovets, Bulgaria, September 2019. This book
presents recent advances in high performance computing. The topics
of interest included into this volume are: HP software tools,
Parallel Algorithms and Scalability, HPC in Big Data analytics,
Modelling, Simulation & Optimization in a Data Rich
Environment, Advanced numerical methods for HPC, Hybrid parallel or
distributed algorithms. The volume is focused on important
large-scale applications like Environmental and Climate Modeling,
Computational Chemistry and Heuristic Algorithms.
Scientists and engineers are mainly using Richardson extrapolation
as a computational tool for increasing the accuracy of various
numerical algorithms for the treatment of systems of ordinary and
partial differential equations and for improving the computational
efficiency of the solution process by the automatic variation of
the time-stepsizes. A third issue, the stability of the
computations, is very often the most important one and, therefore,
it is the major topic studied in all chapters of this book. Clear
explanations and many examples make this text an easy-to-follow
handbook for applied mathematicians, physicists and engineers
working with scientific models based on differential equations.
Contents The basic properties of Richardson extrapolation
Richardson extrapolation for explicit Runge-Kutta methods Linear
multistep and predictor-corrector methods Richardson extrapolation
for some implicit methods Richardson extrapolation for splitting
techniques Richardson extrapolation for advection problems
Richardson extrapolation for some other problems General
conclusions
|
Numerical Analysis and Its Applications - 5th International Conference, NAA 2012, Lozenetz, Bulgaria, June 15-20, 2012, Revised Selected Papers (Paperback, 2013 ed.)
Ivan Dimov, Istvan Farago, Lubin Vulkov
|
R1,648
Discovery Miles 16 480
|
Ships in 10 - 15 working days
|
This book constitutes thoroughly revised selected papers of the 5th
International Conference on Numerical Analysis and ItsApplications,
NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised
papers presented were carefully reviewed and selected from various
submissions. The papers cover a broad area of topics of interest
such as numerical approximation and computational geometry;
numerical linear algebra and numerical solution of transcendental
equation; numerical methods for differential equations; numerical
stochastics, numerical modeling; and high performance scientific
computing."
This is the proceedings of the "8th IMACS Seminar on Monte Carlo
Methods" held from August 29 to September 2, 2011 in Borovets,
Bulgaria, and organized by the Institute of Information and
Communication Technologies of the Bulgarian Academy of Sciences in
cooperation with the International Association for Mathematics and
Computers in Simulation (IMACS). Included are 24 papers which cover
all topics presented in the sessions of the seminar: stochastic
computation and complexity of high dimensional problems,
sensitivity analysis, high-performance computations for Monte Carlo
applications, stochastic metaheuristics for optimization problems,
sequential Monte Carlo methods for large-scale problems,
semiconductor devices and nanostructures. The history of the IMACS
Seminar on Monte Carlo Methods goes back to April 1997 when the
first MCM Seminar was organized in Brussels: 1st IMACS Seminar,
1997, Brussels, Belgium 2nd IMACS Seminar, 1999, Varna, Bulgaria
3rd IMACS Seminar, 2001, Salzburg, Austria 4th IMACS Seminar, 2003,
Berlin, Germany 5th IMACS Seminar, 2005, Tallahassee, USA 6th IMACS
Seminar, 2007, Reading, UK 7th IMACS Seminar, 2009, Brussels,
Belgium 8th IMACS Seminar, 2011, Borovets, Bulgaria
|
Numerical Methods and Applications - 7th International Conference, NMA 2010, Borovets, Bulgaria, August 20-24, 2010, Revised Papers (Paperback, Edition.)
Lirkov Ivan Dimov, Stefka Dimova, Natalia Kolkovska
|
R1,628
Discovery Miles 16 280
|
Ships in 10 - 15 working days
|
This book constitutes the thoroughly refereed post-conference
proceedings of the 7th International Conference on Numerical
Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in
August 2010. The 60 revised full papers presented together with 3
invited papers were carefully reviewed and selected from numerous
submissions for inclusion in this book. The papers are organized in
topical sections on Monte Carlo and quasi-Monte Carlo methods,
environmental modeling, grid computing and applications,
metaheuristics for optimization problems, and modeling and
simulation of electrochemical processes.
|
Numerical Methods and Applications - 5th International Conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002, Revised Papers (Paperback, 2003 ed.)
Ivan Dimov, Ivan Lirkov, Svetozar D. Margenov, Zahari Zlatev
|
R3,245
Discovery Miles 32 450
|
Ships in 10 - 15 working days
|
This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Numerical Methods and Applications, NMA 2002, held in Borovets, Bulgaria, in August 2002. The 58 revised full papers presented together with 6 invited papers were carefully selected from numerous submissions during two rounds of reviewing and improvement. In accordance with various mini-symposia, the papers are organized in topical sections on Monte Carlo and Quasi-Monte Carlo methods, robust iterative solution methods and applications, control and uncertainty systems, numerical methods for sensor data processing, as well as in a section comprising various other methods, tools, and applications.
1. Contents of these proceedings. These proceedings contain most of
the papers which were presented at the NATO ARW (Advanced Research
Workshop) on "Large Scale Computations in Air Pollution Modelling."
The workshop was held, from June 6 to June to, 1998, in Residence
Bistritza, a beautiful site near Sofia, the capital of Bulgaria,
and at the foot of the mountain Vitosha. 2. Participants in the
NATO ARW. Scientists from 23 countries in Europe, North America and
Asia attended the meeting and participated actively in the
discussions. The total number of participants was 57. The main
topic of the discussions was the role of the large mathematical
models in resolving difficult problems connected with the
protection of our environment. 3. Major topics discussed at the
workshop. The protection of our environment is one of the most
important problems facing modern society. The importance of this
problem has steadily increased during the last two-three decades,
and environment protection will become even more important in the
next century. Reliable and robust control strategies for keeping
the pollution caused by harmful chemical compounds under certain
safe levels have to be developed and used in a routine way. Large
mathematical models, in which all important physical and chemical
processes are adequately described, can successfully be used to
solve this task.
The book serves as a synergistic link between the development of
mathematical models and the emergence of stochastic (Monte Carlo)
methods applied for the simulation of current transport in
electronic devices. Regarding the models, the historical evolution
path, beginning from the classical charge carrier transport models
for microelectronics to current quantum-based nanoelectronics, is
explicatively followed. Accordingly, the solution methods are
elucidated from the early phenomenological single particle
algorithms applicable for stationary homogeneous physical
conditions up to the complex algorithms required for quantum
transport, based on particle generation and annihilation. The book
fills the gap between monographs focusing on the development of the
theory and the physical aspects of models, their application, and
their solution methods and monographs dealing with the purely
theoretical approaches for finding stochastic solutions of Fredholm
integral equations.
The book serves as a synergistic link between the development of
mathematical models and the emergence of stochastic (Monte Carlo)
methods applied for the simulation of current transport in
electronic devices. Regarding the models, the historical evolution
path, beginning from the classical charge carrier transport models
for microelectronics to current quantum-based nanoelectronics, is
explicatively followed. Accordingly, the solution methods are
elucidated from the early phenomenological single particle
algorithms applicable for stationary homogeneous physical
conditions up to the complex algorithms required for quantum
transport, based on particle generation and annihilation. The book
fills the gap between monographs focusing on the development of the
theory and the physical aspects of models, their application, and
their solution methods and monographs dealing with the purely
theoretical approaches for finding stochastic solutions of Fredholm
integral equations.
|
Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Lozenetz, Bulgaria, June 15-22, 2016, Revised Selected Papers (Paperback, 1st ed. 2017)
Ivan Dimov, Istvan Farago, Lubin Vulkov
|
R1,716
Discovery Miles 17 160
|
Ships in 10 - 15 working days
|
This book constitutes thoroughly revised selected papers of the 6th
International Conference on Numerical Analysis and Its
Applications, NAA 2016, held in Lozenetz, Bulgaria, in June 2016.
The 90 revised papers presented were carefully reviewed and
selected from 98 submissions. The conference offers a wide range of
the following topics: Numerical Modeling; Numerical Stochastics;
Numerical Approx-imation and Computational Geometry; Numerical
Linear Algebra and Numer-ical Solution of Transcendental Equations;
Numerical Methods for Differential Equations; High Performance
Scientific Computing; and also special topics such as Novel methods
in computational finance based on the FP7 Marie Curie
Action,Project Multi-ITN STRIKE - Novel Methods in Compu-tational
Finance, Grant Agreement Number 304617; Advanced numerical and
applied studies of fractional differential equations.
|
Finite Difference Methods,Theory and Applications - 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected Papers (Paperback, 2015 ed.)
Ivan Dimov, Istvan Farago, Lubin Vulkov
|
R1,605
Discovery Miles 16 050
|
Ships in 10 - 15 working days
|
This book constitutes the thoroughly refereed post-conference
proceedings of the 6th International Conference on Finite
Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June
2014. The 36 revised full papers were carefully reviewed and
selected from 62 submissions. These papers together with 12 invited
papers cover topics such as finite difference and combined finite
difference methods as well as finite element methods and their
various applications in physics, chemistry, biology and finance.
|
Finite Difference Methods. Theory and Applications - 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers (Paperback, 1st ed. 2019)
Ivan Dimov, Istvan Farago, Lubin Vulkov
|
R1,686
Discovery Miles 16 860
|
Ships in 10 - 15 working days
|
This book constitutes the refereed conference proceedings of the
7th International Conference on Finite Difference Methods, FDM
2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full
papers presented together with 11 invited papers were carefully
reviewed and selected from 94 submissions. They deal with many
modern and new numerical techniques like splitting techniques,
Green's function method, multigrid methods, and immersed interface
method.
Many large mathematical models, not only models arising and used in
environmental studies, are described by systems of partial
differential equations. The discretization of the spatial
derivatives in such models leads to the solution of very large
systems of ordinary differential equations. These systems contain
many millions of equations and have to be handled over large time
intervals by applying many time-steps (up to several hundred
thousand time-steps). Furthermore, many scenarios are as a rule to
be run. This explains the fact that the computational tasks in this
situation are enormous. Therefore, it is necessary to select fast
numerical methods; to develop parallel codes and, what is most
important when the problems solved are very large to organize the
computational process in a proper way.
The last item (which is very often underestimated but, let us
re-iterate, which is very important) is the major topic of this
book. In fact, the proper organization of the computational process
can be viewed as a preparation of templates which can be used with
different numerical methods and different parallel devices. The
development of such templates is described in the book. It is also
demonstrated that many comprehensive environmental studies can
successfully be carried out when the computations are correctly
organized. Thus, this book will help the reader to understand
better that, while (a) it is very important to select fast
numerical methods as well as (b) it is very important to develop
parallel codes, this will not be sufficient when the problems
solved are really very large. In the latter case, it is also
crucial to exploit better the computer architecture by organizing
properly the computational process.
- Use of templates in connection with the treatment of very large
models
- Performance of comprehensive environmental studies
- Obtaining reliable and robust information about pollution
levels
- Studying the impact of future climatic changes on high pollution
levels
- Investigating trends related to critical levels of pollution
|
Numerical Methods and Applications - 8th International Conference, NMA 2014, Borovets, Bulgaria, August 20-24, 2014, Revised Selected Papers (Paperback, 2015 ed.)
Ivan Dimov, Stefka Fidanova, Ivan Lirkov
|
R2,517
Discovery Miles 25 170
|
Ships in 10 - 15 working days
|
This book constitutes the thoroughly refereed post-conference
proceedings of the 8th International Conference on Numerical
Methods and Applications, NMA 2014, held in Borovets, Bulgaria, in
August 2014. The 34 revised full papers presented were carefully
reviewed and selected from 56 submissions for inclusion in this
book. The papers are organized in the following topical sections:
Monte Carlo and quasi-Monte Carlo methods; metaheuristics for
optimization problems; advanced numerical methods for scientific
computing; advanced numerical techniques for PDEs and applications;
solving large engineering and scientific problems with advanced
mathematical models; numerical simulations and back analysis in
civil and mechanical engineering.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|