Conservative Finite Difference Methods On General Grids

Author : Mikhail Shashkov
Publisher : CRC Press
Page : 313 pages
File Size : 49,6 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351458290

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Conservative Finite-Difference Methods on General Grids by Mikhail Shashkov Pdf

This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.

Author : Mikhail Shashkov
Publisher : CRC Press
Page : 384 pages
File Size : 43,6 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351458306

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Conservative Finite-Difference Methods on General Grids by Mikhail Shashkov Pdf

This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.

Author : Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair
Publisher : Springer Science & Business Media
Page : 570 pages
File Size : 50,8 Mb
Release : 2011-03-29
Category : Mathematics
ISBN : 9783642116407

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Numerical Techniques for Global Atmospheric Models by Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair Pdf

This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.

Author : Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida
Publisher : CRC Press
Page : 276 pages
File Size : 53,7 Mb
Release : 2016-11-30
Category : Mathematics
ISBN : 9781498723886

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Moving Finite Element Method by Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida Pdf

This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.

Author : Peter Moczo,Jozef Kristek,Martin Gális
Publisher : Cambridge University Press
Page : 387 pages
File Size : 52,8 Mb
Release : 2014-04-24
Category : Mathematics
ISBN : 9781107028814

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The Finite-Difference Modelling of Earthquake Motions by Peter Moczo,Jozef Kristek,Martin Gális Pdf

A systematic tutorial introduction to the finite-difference (FD) numerical modelling technique for professionals, academic researchers, and graduate students in seismology.

Author : Douglas N. Arnold,Pavel B. Bochev,Richard B. Lehoucq,Roy A. Nicolaides,Mikhail Shashkov
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 50,8 Mb
Release : 2007-01-26
Category : Mathematics
ISBN : 9780387380346

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Compatible Spatial Discretizations by Douglas N. Arnold,Pavel B. Bochev,Richard B. Lehoucq,Roy A. Nicolaides,Mikhail Shashkov Pdf

The IMA Hot Topics workshop on compatible spatialdiscretizations was held in 2004. This volume contains original contributions based on the material presented there. A unique feature is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science. Abstracts and presentation slides from the workshop can be accessed on the internet.

Author : M.K. Singh,B.S. Kushvah,G.S. Seth,J. Prakash
Publisher : Springer
Page : 692 pages
File Size : 40,6 Mb
Release : 2017-11-04
Category : Technology & Engineering
ISBN : 9789811053290

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Applications of Fluid Dynamics by M.K. Singh,B.S. Kushvah,G.S. Seth,J. Prakash Pdf

The book presents high-quality papers presented at 3rd International Conference on Applications of Fluid Dynamics (ICAFD 2016) organized by Department of Applied Mathematics, ISM Dhanbad, Jharkhand, India in association with Fluid Mechanics Group, University of Botswana, Botswana. The main theme of the Conference is "Sustainable Development in Africa and Asia in context of Fluid Dynamics and Modeling Approaches". The book is divided into seven sections covering all applications of fluid dynamics and their allied areas such as fluid dynamics, nanofluid, heat and mass transfer, numerical simulations and investigations of fluid dynamics, magnetohydrodynamics flow, solute transport modeling and water jet, and miscellaneous. The book is a good reference material for scientists and professionals working in the field of fluid dynamics.

Author : Daisuke Furihata,Takayasu Matsuo
Publisher : CRC Press
Page : 376 pages
File Size : 45,7 Mb
Release : 2010-12-09
Category : Mathematics
ISBN : 9781420094466

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Discrete Variational Derivative Method by Daisuke Furihata,Takayasu Matsuo Pdf

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num

Author : Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski
Publisher : Springer
Page : 1418 pages
File Size : 53,7 Mb
Release : 2008-05-29
Category : Computers
ISBN : 9783540681113

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Parallel Processing and Applied Mathematics by Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Parallel Processing and Applied Mathematics, PPAM 2007, held in Gdansk, Poland, in September 2007. The 63 revised full papers of the main conference presented together with 85 revised workshop papers were carefully reviewed and selected from over 250 initial submissions. The papers are organized in topical sections on parallel/distributed architectures and mobile computing, numerical algorithms and parallel numerics, parallel and distributed non-numerical algorithms, environments and tools for as well as applications of parallel/distributed/grid computing, evolutionary computing, meta-heuristics and neural networks. The volume proceeds with the outcome of 11 workshops and minisymposia dealing with novel data formats and algorithms for dense linear algebra computations, combinatorial tools for parallel sparse matrix computations, grid applications and middleware, large scale computations on grids, models, algorithms and methodologies for grid-enabled computing environments, scheduling for parallel computing, language-based parallel programming models, performance evaluation of parallel applications on large-scale systems, parallel computational biology, high performance computing for engineering applications, and the minisymposium on interval analysis.

Author : Anonim
Publisher : Elsevier
Page : 303 pages
File Size : 40,5 Mb
Release : 2000-04-19
Category : Technology & Engineering
ISBN : 9780080526188

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Advances in Imaging and Electron Physics by Anonim Pdf

Advances in Imaging & Electron Physics merges two long-running serials--Advances in Electronics & Electron Physics and Advances in Optical & Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Author : Scott Milroy
Publisher : Garland Science
Page : 318 pages
File Size : 45,8 Mb
Release : 2020-10-12
Category : Science
ISBN : 9780429640773

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Field Methods in Marine Science by Scott Milroy Pdf

Field Methods in Marine Science: From Measurements to Models is an authoritative guide of the methods most appropriate for field research within the marine sciences, from experimental design to data analysis. Written for upper-level undergraduate and graduate students as well as early-career researchers, this textbook also serves as an accessible introduction to the concepts and practice of modeling marine system dynamics. This textbook trains the next generation of field scientists to move beyond the classic methods of data collection and statistical analysis to contemporary methods of numerical modeling; to pursue the assimilation and synthesis of information, not the mere recording of data. Boxes and side bars highlight important questions, interesting facts, relevant examples, and research techniques that supplement the text. Students and researchers alike will find the thorough appendices useful as a way of expanding comprehension of fundamental concepts.

Author : Viktor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642566660

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Computer Algebra in Scientific Computing CASC 2001 by Viktor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Author : Bernd Heinrich
Publisher : Birkhauser
Page : 216 pages
File Size : 55,9 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015015717534

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Finite Difference Methods on Irregular Networks by Bernd Heinrich Pdf

Author : Peter W. Hawkes,Benjamin Kazan,Tom Mulvey
Publisher : Elsevier
Page : 357 pages
File Size : 40,9 Mb
Release : 2002-04-10
Category : Technology & Engineering
ISBN : 9780080493244

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Advances in Imaging and Electron Physics by Peter W. Hawkes,Benjamin Kazan,Tom Mulvey Pdf

Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Author : Andrey Itkin
Publisher : Birkhäuser
Page : 308 pages
File Size : 55,6 Mb
Release : 2017-02-27
Category : Mathematics
ISBN : 9781493967926

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Pricing Derivatives Under Lévy Models by Andrey Itkin Pdf

This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. The method, based on pseudo-differential operators and several original contributions to the theory of finite-difference schemes, is new as applied to the Lévy processes in finance, and is herein presented for the first time in a single volume. The results within, developed in a series of research papers, are collected and arranged together with the necessary background material from Lévy processes, the modern theory of finite-difference schemes, the theory of M-matrices and EM-matrices, etc., thus forming a self-contained work that gives the reader a smooth introduction to the subject. For readers with no knowledge of finance, a short explanation of the main financial terms and notions used in the book is given in the glossary. The latter part of the book demonstrates the efficacy of the method by solving some typical problems encountered in computational finance, including structural default models with jumps, and local stochastic volatility models with stochastic interest rates and jumps. The author also adds extra complexity to the traditional statements of these problems by taking into account jumps in each stochastic component while all jumps are fully correlated, and shows how this setting can be efficiently addressed within the framework of the new method. Written for non-mathematicians, this book will appeal to financial engineers and analysts, econophysicists, and researchers in applied numerical analysis. It can also be used as an advance course on modern finite-difference methods or computational finance.