Matrix Preconditioning Techniques and Applications

Matrix Preconditioning Techniques and Applications
Author: Ke Chen
Publsiher: Cambridge University Press
Total Pages: 616
Release: 2005-07-14
ISBN: 9780521838283
Category: Mathematics
Language: EN, FR, DE, ES & NL

Matrix Preconditioning Techniques and Applications Book Excerpt:

A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.

Computer Science Theory and Applications

Computer Science   Theory and Applications
Author: Edward A. Hirsch,Alexander A. Razborov,Alexei Semenov,Anatol Slissenko
Publsiher: Springer
Total Pages: 411
Release: 2008-05-14
ISBN: 3540797092
Category: Computers
Language: EN, FR, DE, ES & NL

Computer Science Theory and Applications Book Excerpt:

This book constitutes the refereed proceedings of the Third International Computer Science Symposium in Russia, CSR 2008, held in Moscow, Russia, June 7-12, 2008. The 33 revised papers presented together with 5 invited papers and one opening lecture were carefully reviewed and selected from 103 submissions. All major areas in computer science are addressed. The theory track deals with algorithms, protocols, and data structures; complexity and cryptography; formal languages, automata and their applications to computer science; computational models and concepts; proof theory and applications of logic to computer science. The application part comprises programming and languages; computer architecture and hardware design; symbolic computing and numerical applications; application software; artificial intelligence and robotics.

Intelligent Computing Systems

Intelligent Computing Systems
Author: Carlos Brito-Loeza,Anabel Martin-Gonzalez,Victor Castañeda-Zeman,Asad Safi
Publsiher: Springer Nature
Total Pages: 145
Release: 2022-04-16
ISBN: 3030984575
Category: Computers
Language: EN, FR, DE, ES & NL

Intelligent Computing Systems Book Excerpt:

This book constitutes the proceedings of the 4th International Symposium on Intelligent Computing Systems, ISICS 2022, held in Santiago, Chile, in March 2022. Due to the COVID-19 pandemic the conference was held online. The 9 full papers along with 2 short papers presented in this volume were carefully reviewed and selected from 30 submissions. They deal with the field of intelligent computing systems focusing on artificial intelligence, computer vision and image processing.

Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers

Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers
Author: Iman Farahbakhsh
Publsiher: John Wiley & Sons
Total Pages: 256
Release: 2020-07-17
ISBN: 1119618703
Category: Science
Language: EN, FR, DE, ES & NL

Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers Book Excerpt:

A succinct and complete explanation of Krylov subspace methods for solving matrices Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers is the most current and complete guide to the implementation of Krylov subspace methods for solving systems of equations with different types of matrices. Written in the simplest language possible and eliminating ambiguities, the text is easy to follow for post-grad students and applied mathematicians alike. The book covers a breadth of topics, including: The different methods used in solving the systems of equations with ill-conditioned and well-conditioned matrices. The behavior of Krylov subspace methods in the solution of systems with ill-posed singular matrices The book includes executable subroutines and main programs that can be applied in CFD codes as well as appendices that support the results provided throughout the text. There is no other comparable resource to prepare the reader to use Krylov subspace methods in incompressible fluid flow solvers.

Numerical Mathematics and Applications

Numerical Mathematics and Applications
Author: J. Vignes,R. Vichnevetsky
Publsiher: Elsevier
Total Pages: 433
Release: 2014-06-28
ISBN: 1483295672
Category: Mathematics
Language: EN, FR, DE, ES & NL

Numerical Mathematics and Applications Book Excerpt:

Numerical Mathematics and Applications

High Performance Computing in Power and Energy Systems

High Performance Computing in Power and Energy Systems
Author: Siddhartha Kumar Khaitan,Anshul Gupta
Publsiher: Springer Science & Business Media
Total Pages: 387
Release: 2012-09-07
ISBN: 364232682X
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

High Performance Computing in Power and Energy Systems Book Excerpt:

The twin challenge of meeting global energy demands in the face of growing economies and populations and restricting greenhouse gas emissions is one of the most daunting ones that humanity has ever faced. Smart electrical generation and distribution infrastructure will play a crucial role in meeting these challenges. We would need to develop capabilities to handle large volumes of data generated by the power system components like PMUs, DFRs and other data acquisition devices as well as by the capacity to process these data at high resolution via multi-scale and multi-period simulations, cascading and security analysis, interaction between hybrid systems (electric, transport, gas, oil, coal, etc.) and so on, to get meaningful information in real time to ensure a secure, reliable and stable power system grid. Advanced research on development and implementation of market-ready leading-edge high-speed enabling technologies and algorithms for solving real-time, dynamic, resource-critical problems will be required for dynamic security analysis targeted towards successful implementation of Smart Grid initiatives. This books aims to bring together some of the latest research developments as well as thoughts on the future research directions of the high performance computing applications in electric power systems planning, operations, security, markets, and grid integration of alternate sources of energy, etc.

Modelling Simulation and Data Analysis in Acoustical Problems

Modelling  Simulation and Data Analysis in Acoustical Problems
Author: Claudio Guarnaccia,Lamberto Tronchin,Massimo Viscardi
Publsiher: MDPI
Total Pages: 584
Release: 2020-06-23
ISBN: 3039282840
Category: Science
Language: EN, FR, DE, ES & NL

Modelling Simulation and Data Analysis in Acoustical Problems Book Excerpt:

Modelling and simulation in acoustics is currently gaining importance. In fact, with the development and improvement of innovative computational techniques and with the growing need for predictive models, an impressive boost has been observed in several research and application areas, such as noise control, indoor acoustics, and industrial applications. This led us to the proposal of a special issue about “Modelling, Simulation and Data Analysis in Acoustical Problems”, as we believe in the importance of these topics in modern acoustics’ studies. In total, 81 papers were submitted and 33 of them were published, with an acceptance rate of 37.5%. According to the number of papers submitted, it can be affirmed that this is a trending topic in the scientific and academic community and this special issue will try to provide a future reference for the research that will be developed in coming years.

Numerical Linear Algebra with Julia

Numerical Linear Algebra with Julia
Author: Eric Darve,Mary Wootters
Publsiher: SIAM
Total Pages: 420
Release: 2021-09-02
ISBN: 1611976553
Category: Mathematics
Language: EN, FR, DE, ES & NL

Numerical Linear Algebra with Julia Book Excerpt:

Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. Julia code is provided to illustrate concepts and allow readers to explore methods on their own. Written in a friendly and approachable style, the book contains detailed descriptions of algorithms along with illustrations and graphics that emphasize core concepts and demonstrate the algorithms. Numerical Linear Algebra with Julia is a textbook for advanced undergraduate and graduate students in most STEM fields and is appropriate for courses in numerical linear algebra. It may also serve as a reference for researchers in various fields who depend on numerical solvers in linear algebra.

Numerical Ocean Acoustic Propagation in Three Dimensions

Numerical Ocean Acoustic Propagation in Three Dimensions
Author: Ding Lee,Martin H Schultz
Publsiher: World Scientific
Total Pages: 220
Release: 1995-12-31
ISBN: 9814500291
Category: Mathematics
Language: EN, FR, DE, ES & NL

Numerical Ocean Acoustic Propagation in Three Dimensions Book Excerpt:

This book introduces a comprehensive mathematical formulation of the three-dimensional ocean acoustic propagation problem by means of functional and operator splitting techniques in conjunction with rational function approximations. It presents various numerical solutions of the model equation such as finite difference, alternating direction and preconditioning. The detailed analysis of the concept of 3D, N x 2D and 2D problems is very useful not only mathematically and physically, but also computationally. The inclusion of a complete detailed listing of proven computer codes which have been in use by a number of universities and research organizations worldwide makes this book a valuable reference source. Advanced knowledge of numerical methods, applied mathematics and ocean acoustics is not required to understand this book. It is oriented toward graduate students and research scientists to use for research and application purposes. Contents:IntroductionBasic Mathematical Model DevelopmentsA Pseudopartial Differential EquationA High-Order Wave EquationEnhancement of the High-Order Wave EquationNumerical Accuracy Test: An Analytic SolutionThree-Dimensional EffectsThe Computer Model — FOR3D Readership: Scientists, engineers and students in ocean acoustics. keywords:Computer Code FOR3D

CFD Techniques and Thermo Mechanics Applications

CFD Techniques and Thermo Mechanics Applications
Author: Zied Driss,Brahim Necib,Hao-Chun Zhang
Publsiher: Springer
Total Pages: 203
Release: 2018-02-05
ISBN: 3319709453
Category: Science
Language: EN, FR, DE, ES & NL

CFD Techniques and Thermo Mechanics Applications Book Excerpt:

This book focuses on CFD (Computational Fluid Dynamics) techniques and the recent developments and research works in thermo-mechanics applications. It is devoted to the publication of basic and applied studies broadly related to this area. The chapters present the development of numerical methods, computational techniques, and case studies in the thermo-mechanics applications. They offer the fundamental knowledge for using CFD in real thermo-mechanics applications and complex flow problems through new technical approaches. Also, they discuss the steps in the CFD process and provide benefits and issues when using the CFD analysis in understanding of complicated flow phenomena and its use in the design process. The best practices for reducing errors and uncertainties in CFD analysis are also discussed. The presented case studies and development approaches aim to provide the readers, such as engineers and PhD students, the fundamentals of CFD prior to embarking on any real simulation project. Additionally, engineers supporting or being supported by CFD analysts can benefit from this book. ​

Regularized Image Reconstruction in Parallel MRI with MATLAB

Regularized Image Reconstruction in Parallel MRI with MATLAB
Author: Joseph Suresh Paul,Raji Susan Mathew
Publsiher: CRC Press
Total Pages: 271
Release: 2019-11-05
ISBN: 135102924X
Category: Medical
Language: EN, FR, DE, ES & NL

Regularized Image Reconstruction in Parallel MRI with MATLAB Book Excerpt:

Regularization becomes an integral part of the reconstruction process in accelerated parallel magnetic resonance imaging (pMRI) due to the need for utilizing the most discriminative information in the form of parsimonious models to generate high quality images with reduced noise and artifacts. Apart from providing a detailed overview and implementation details of various pMRI reconstruction methods, Regularized image reconstruction in parallel MRI with MATLAB examples interprets regularized image reconstruction in pMRI as a means to effectively control the balance between two specific types of error signals to either improve the accuracy in estimation of missing samples, or speed up the estimation process. The first type corresponds to the modeling error between acquired and their estimated values. The second type arises due to the perturbation of k-space values in autocalibration methods or sparse approximation in the compressed sensing based reconstruction model. Features: Provides details for optimizing regularization parameters in each type of reconstruction. Presents comparison of regularization approaches for each type of pMRI reconstruction. Includes discussion of case studies using clinically acquired data. MATLAB codes are provided for each reconstruction type. Contains method-wise description of adapting regularization to optimize speed and accuracy. This book serves as a reference material for researchers and students involved in development of pMRI reconstruction methods. Industry practitioners concerned with how to apply regularization in pMRI reconstruction will find this book most useful.

Operator Methods in Wavelets Tilings and Frames

Operator Methods in Wavelets  Tilings  and Frames
Author: Keri A. Kornelson,Eric S. Weber
Publsiher: American Mathematical Soc.
Total Pages: 177
Release: 2014-10-20
ISBN: 1470410400
Category: Mathematics
Language: EN, FR, DE, ES & NL

Operator Methods in Wavelets Tilings and Frames Book Excerpt:

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

Proceedings of the International Workshop on Medical Ultrasound Tomography 1 3 Nov 2017 Speyer Germany

Proceedings of the International Workshop on Medical Ultrasound Tomography  1   3  Nov  2017  Speyer  Germany
Author: Hopp, Torsten,Ruiter, Nicole,Bamber, Jeffrey C.,Duric, Neb ,van Dongen, Koen W.A.
Publsiher: KIT Scientific Publishing
Total Pages: 424
Release: 2018-01-30
ISBN: 3731506890
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Proceedings of the International Workshop on Medical Ultrasound Tomography 1 3 Nov 2017 Speyer Germany Book Excerpt:

Linear and Nonlinear Optimization

Linear and Nonlinear Optimization
Author: Igor Griva,Stephen G. Nash,Ariela Sofer
Publsiher: SIAM
Total Pages: 742
Release: 2009
ISBN: 0898717736
Category: Linear programming
Language: EN, FR, DE, ES & NL

Linear and Nonlinear Optimization Book Excerpt:

Provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects - discussing modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. The book includes several examples of realistic optimization models that address important applications. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. The book is designed to be flexible. It has a modular structure, and uses consistent notation and terminology throughout. It can be used in many different ways, in many different courses, and at many different levels of sophistication.

Parallel Processing and Applied Mathematics Part I

Parallel Processing and Applied Mathematics  Part I
Author: Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski
Publsiher: Springer
Total Pages: 628
Release: 2010-07-07
ISBN: 3642143903
Category: Computers
Language: EN, FR, DE, ES & NL

Parallel Processing and Applied Mathematics Part I Book Excerpt:

Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.

Advances On Computer Mathematics And Its Applications

Advances On Computer Mathematics And Its Applications
Author: Lipitakis Elias A
Publsiher: World Scientific Publishing Company
Total Pages: 384
Release: 1993-11-19
ISBN: 9813230649
Category: Computers
Language: EN, FR, DE, ES & NL

Advances On Computer Mathematics And Its Applications Book Excerpt:

This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92). The main theme for HERMIS '92 Conference was Computer Mathematics, with special emphasis on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Science. The presented papers of the HERMIS Conference have been classified into the following technical sessions: Numerical solution of Differential Equations, Parallel Processing and Parallel Algorithms, Optimization and Approximation, Algorithms in Operational Research and Control Theory, Statistical Methods and Analysis, Mathematics in Economic Science, Artificial Intelligence and Data Bases Technology.In addition, a number of selected research articles published recently in the Hellenic Mathematical Society Bulletin in the form of special issues on Computer Mathematics (Volumes 31 and 32) are also included.

Scientific Computation

Scientific Computation
Author: Tony Chan,Zhong-Ci Shi
Publsiher: World Scientific
Total Pages: 288
Release: 1992-07-17
ISBN: 9814554421
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Scientific Computation Book Excerpt:

The proceedings in this volume provide reviews and discussions on the current and future developments in scientific computation, including numerical solutions of differential equations, numerical linear algebra, parallel computation and engineering applications. It contains papers by leading scientists in computational mathematics from US, Israel, Italy, China and Hong Kong. Contents: Multi-Scale Computational Methods: Research Activities (A Brandt)Some Applica-tions of the Probing Technique in Domain Decomposition (Tony F C Chan & T P Mathew)On the Free Formation of Constructing Stiffness Matrices (S-C Chen & Z-C Shi)Formal Power Series and Numerical Algorithms for Dynamical Systems (Feng Kang)A Finite Element Method for Linear Elastic Equations on Unbounded Domains (H-D Han & X-N Wu)Strategies for the Design of Parallel Algorithms (L-S Kang & Y-P Chen)Analysis of Computer-Extended Perturbation Series (Y-K Kwok)Finite Dimensional Approximation and Its Computation for Bifurcation Problems of Variational Inequalities (J-G Lei & C-L Liu)Cartesian Grids and Rotated Difference Methods for Multi-Dimensional Flow (R J LeVeque)Bifurcation with Symmetry Breaking for the Flow Between Two Concentric Rotating Spheres (K-T Li & X-Z Liu)The Corner Singularity and Boundary Layer and Computation for Hierachic Plate Method (L-K Li & I Babuska)New Trends in Preconditioned Krylov Subspace Methods (Y Saad)Parallel Multilevel B-Spline Preconditioners for the Biharmonic Problem (J-C Sun & B-K Li)Finite Element-Characteristic Method and Analysis for a Compressive Miscible Displacement Problem in Porous Media (Y-R Yuan)and other papers Readership: Applied and computational mathematicians. keywords:

Exploiting Hidden Structure in Matrix Computations Algorithms and Applications

Exploiting Hidden Structure in Matrix Computations  Algorithms and Applications
Author: Michele Benzi,Dario Bini,Daniel Kressner,Hans Munthe-Kaas,Charles Van Loan
Publsiher: Springer
Total Pages: 406
Release: 2017-01-24
ISBN: 3319498878
Category: Mathematics
Language: EN, FR, DE, ES & NL

Exploiting Hidden Structure in Matrix Computations Algorithms and Applications Book Excerpt:

Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.

Numerical Analysis and Its Applications

Numerical Analysis and Its Applications
Author: Lubin Vulkov,Jerzy Wasniewski,Plamen Yalamov
Publsiher: Springer
Total Pages: 790
Release: 2003-07-31
ISBN: 3540452621
Category: Mathematics
Language: EN, FR, DE, ES & NL

Numerical Analysis and Its Applications Book Excerpt:

This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Numerical Analysis and Its Applications, NAA 2000, held in Rousse, Bulgaria in June 2000.The 90 revised papers presented were carefully selected for inclusion in the book during the two rounds of inspection and reviewing. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, etc.

Progress in Computational Physics PiCP

Progress in Computational Physics  PiCP
Author: Matthias Ehrhardt
Publsiher: Bentham Science Publishers
Total Pages: 240
Release: 2010-11-13
ISBN: 1608051501
Category: Science
Language: EN, FR, DE, ES & NL

Progress in Computational Physics PiCP Book Excerpt:

Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computat