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The Parallel Solution of Partial Differential Equations on Transputer Networks
, 1992
"... . We present an implementation of a finitedifference approximation for the solution of partial differential equations on transputer networks. The grid structure associated with the finitedifference approximation is exploited by using geometric partitioning of the data among the processors. This pr ..."
Abstract

Cited by 12 (3 self)
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. We present an implementation of a finitedifference approximation for the solution of partial differential equations on transputer networks. The grid structure associated with the finitedifference approximation is exploited by using geometric partitioning of the data among the processors. This provides a very low degree of communication between the processors. The resultant system of linear equations is then solved by a variety of Conjugate Gradient methods. Care has been taken to ensure that the basic linear algebra operations are implemented as efficiently as possible for the particular geometric partitioning used. 1 Introduction We consider the solution of the nonsingular system of N linear equations, Ax = b (1) derived from a finitedifference approximation to a partial differential equation (PDE), using parallel implementations of various Conjugate Gradient iterative methods. Systems like (1) are characterized by being large, structured and sparse. Because of the very low d...
Parallel Preconditioned ConjugateGradients Methods on Transputer Networks
, 1993
"... . We show how highly efficient parallel implementations of basic linear algebra routines may be used as building blocks to implement efficient higher level algorithms. We discuss the solution of systems of linear equations using a preconditioned ConjugateGradients iterative method on a network of t ..."
Abstract

Cited by 5 (4 self)
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. We show how highly efficient parallel implementations of basic linear algebra routines may be used as building blocks to implement efficient higher level algorithms. We discuss the solution of systems of linear equations using a preconditioned ConjugateGradients iterative method on a network of transputers. Results are presented for the solution of both dense and sparse systems; the latter being derived from the finitedifference approximation of partial differential equations. 1 Introduction The numerical solution of nonsingular systems of N linear equations, Ax = b (1) is required in a wide range of practical applications. When N is large, the solution of (1) becomes timeconsuming and techniques must be sought to accelerate the solution process. This may be accomplished by 1. using an iterative method with an improved rate of convergence, possibly with the aid of preconditioning, 2. devising a parallel implementation of the method that allows the efficient use of a parallel m...
Guidelines for Preparing a Paper for the European Conference on Artificial Intelligence
"... Abstract. The purpose of this paper is to show a contributor the required style for a paper for ECAI2006 and PAIS2006. The specifications for layout are described so that nonL ATEX users can create their own style sheet to achieve the same layout. The source for the sample file is available for L ..."
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Abstract. The purpose of this paper is to show a contributor the required style for a paper for ECAI2006 and PAIS2006. The specifications for layout are described so that nonL ATEX users can create their own style sheet to achieve the same layout. The source for the sample file is available for L ATEX users. The PostScript and the PDF file is available for all. The layout is identical to ECAI’02 and ECAI’04 papers. The publisher (IOS Press) will insert a footer for each page. 1 PAGE LIMIT The page limit for ECAI2006 and PAIS2006 full papers is 5 pages in the required format. The page limit for poster submissions is 2 pages. This is a strict limit. Overlength papers will not be reviewed. 2 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 20.5 picas (86 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 61 lines of text). 4. The effective text height for each page is 56 picas (237 mm). The first page has less text height. It requires an additional footer space of 3.5 picas (14.8 mm) for the copyright inserted by the publisher and 1.5 picas (6 mm) of space before the title. The effective text height of the first page is 51 picas (216 mm). 5. There are no running feet for the final cameraready version of the paper. The submission paper should have page numbers in the running feet.
Guidelines for Preparing a Paper for IDAMAP98 (based on ECAI98 paper preparation instructions)
"... . The purpose of this paper is to show a contributor the required style for a paper for IDAMAP98. The specifications for layout are described so that nonL AT E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L AT E X users. The P ..."
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. The purpose of this paper is to show a contributor the required style for a paper for IDAMAP98. The specifications for layout are described so that nonL AT E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L AT E X users. The PostScript file is available for all. 1 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 20.5 picas (86 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 61 lines of text). 4. The running feet are set 1.5 picas (6 mm) below the last line of text. 2 TITLE, AUTHOR AND AFFILIATION 2.1 Title The title is set in 20 point (7 mm) bold with leading of 22 point (7.7 mm), centred over the full text measure, with 1.5 picas (6 mm) of space before and after. 2.2 Aut...
Guidelines for Preparing a Paper for the European Conference on Artificial Intelligence
"... . The purpose of this paper is to show a contributor the required style for a paper for ECAI 96. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A T E X users. The P ..."
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. The purpose of this paper is to show a contributor the required style for a paper for ECAI 96. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A T E X users. The PostScript file is available for all. 1 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 20.5 picas (86 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 61 lines of text). 4. The running feet are set 1.5 picas (6 mm) below the last line of text. 2 TITLE, AUTHOR, AFFILIATION, COPYRIGHT AND RUNNING FEET 2.1 Title The title is set in 20 point (7 mm) bold with leading of 22 point (7.7 mm), centred over the full text measure, with 1.5 picas (6 mm) of space ...
Guidelines for Preparing a Paper for the European Conference on Artificial Intelligence
"... . The purpose of this paper is to show a contributor the required style for a paper for ECAI 94. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A T E X users. The P ..."
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. The purpose of this paper is to show a contributor the required style for a paper for ECAI 94. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A T E X users. The PostScript file is available for all. 1 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 20.5 picas (86 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 61 lines of text). 4. The running feet are set 1.5 picas (6 mm) below the last line of text. 2 TITLE, AUTHOR, AFFILIATION, COPYRIGHT AND RUNNING FEET 2.1 Title The title is set in 20 point (7 mm) bold with leading of 22 point (7.7 mm), centred over the full text measure, with 1.5 picas (6 mm) of space...
Guidelines for Preparing a Paper for ECCOMAS Conference
"... . The purpose of this paper is to show a contributor the required style for a paper for ECCOMAS96. The source for the sample file is available for L A T E X users on the Internet in ftp://ftp.wiley.co.uk/pub/eccomasstyles. NonL A T E X users should create their own style sheet, using whichever ..."
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. The purpose of this paper is to show a contributor the required style for a paper for ECCOMAS96. The source for the sample file is available for L A T E X users on the Internet in ftp://ftp.wiley.co.uk/pub/eccomasstyles. NonL A T E X users should create their own style sheet, using whichever software they wish, to achieve the same layout. 1 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 18 picas (76 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 56 lines of text). 4. The running feet are set 1.5 picas (6 mm) below the last line of text. 2 TITLE, AUTHOR, AFFILIATION, COPYRIGHT AND RUNNING FEET 2.1 Title The title is set in 20 point (7 mm) bold with leading of 22 point (7.7 mm), centred over the full text measure, with 1.5 pica...
Guidelines for Preparing a Paper for European Conference on Artificial Intelligence
, 2000
"... . The purpose of this paper is to show a contributor the required style for a paper for ECAI2000 and PAIS2000. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A ..."
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. The purpose of this paper is to show a contributor the required style for a paper for ECAI2000 and PAIS2000. The specifications for layout are described so that nonL A T E X users can create their own style sheet to achieve the same layout. The source for the sample file is available for L A T E X users. The PostScript and the PDF file is available for all. The layout is identical to ECAI98 papers except for the footers. The publisher (IOS Press) will insert a footer for each page. 1 GENERAL SPECIFICATIONS The following details should allow contributors to set up the general page description for their paper: 1. The paper is set in two columns each 20.5 picas (86 mm) wide with a column separator of 1.5 picas (6 mm). 2. The typeface is Times Modern Roman. 3. The body text size is 9 point (3.15 mm) on a body of 11 point (3.85 mm) (i.e. 61 lines of text). 4. The effective text height for each page is 56 picas (237 mm). The first page has less text height. It requires an ad...
The Parallel Solution of Partial Differential Equations on Transputer Networks
, 1992
"... We present an implementation of a finitedifference approximation for the solution of partial differential equations on transputer networks. The grid structure associated with the finitedifference approximation is exploited by using geometric partitioning of the data among the processors. This p ..."
Abstract
 Add to MetaCart
We present an implementation of a finitedifference approximation for the solution of partial differential equations on transputer networks. The grid structure associated with the finitedifference approximation is exploited by using geometric partitioning of the data among the processors. This provides a very low degree of communication between the processors.
Parallel Preconditioned ConjugateGradients Methods on Transputer Networks
, 1993
"... We show how highly efficient parallel implementations of basic linear algebra routines may be used as building blocks to implement efficient higher level algorithms. We discuss the solution of systems of linear equations using a preconditioned ConjugateGradients iterative method on a network of ..."
Abstract
 Add to MetaCart
We show how highly efficient parallel implementations of basic linear algebra routines may be used as building blocks to implement efficient higher level algorithms. We discuss the solution of systems of linear equations using a preconditioned ConjugateGradients iterative method on a network of transputers. Results are presented for the solution of both dense and sparse systems; the latter being derived from the finitedifference approximation of partial differential equations.