Numerical analysis and parallel processing: lectures given at the Lancaster Numerical Analysis Summer School 1987
Saved in:
| Other Authors: | |
|---|---|
| Format: | Conference Proceeding Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong
Springer-Verlag
1989
|
| Series: | Lecture notes in mathematics
1397 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | VI, 264 Seiten Diagramme |
| ISBN: | 354051645X 038751645X |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Preface III
PARALLEL COMPUTATION AND OPTIMISATION 1
L.CW.Dixon
1. Introduction 1
2. Parallel Computers and Parallel Computing 1
3. Solving Optimisation Problems on Parallel Processing Systems 7
4. Solution of Sets of Linear Equations 19
5. Finite Element Optimisation of the ICL DAP 27
SOLUTION OF SPARSE SYSTEMS OF EQUATIONS
ON MULTIPROCESSOR ARCHITECTURES 32
J.A.George
1. Introduction 32
2. Basic Material on Sparse Matrix Computation 32
3. Multiprocessor Architectures 58
4. Parallel Algorithms 62
5. Algorithms for Shared Memory Machines 69
6. Algorithms for Distributed Memory Machines 83
References 90
LEVEL INDEX ARITHMETIC: AN INTRODUCTORY SURVEY 95
CW.Clenshaw, F.W J.Olver and P.R.Turner
Foreword 95
1. Alternatives to Floating Point The Need (P.R.Tumer) 97
2. Alternatives to Floating Point Some Candidates (P.R.Turner) 106
3. Level Index Arithmetic (CW.Clenshaw) 116
4. Closure and Precision (F.W.J.Olver) 124
5. Implementation Schemes for li and sli Arithmetic (P.R.Turner) 131
6. Appplications (CW.Clenshaw) 146
7. Generalized Exponentials and Logarithms; Surface Fitting;
Conclusions (F.W.J.Olver) 156
References 165
VI
SOME ASPECTS OF FLOATING POINT COMPUTATION 169
A.Feldstein and R.H.Goodman
1. Floating Point Numbers 169
2. Shortening Computer Numbers: Basic Concepts 172
3. Fraction Error in Multiplication 174
4. Relative Error in Multiplication 176
References 180
SOME GRADIENT SUPERCONVERGENCE RESULTS
IN THE FINITE ELEMENT METHOD 182
J.R.Whiteman and G.Goodsell
1. Introduction 182
2. Poisson Problems: Superconvergence of Recovered Gradients
for Piecewise Linear Finite Element Approximations . 187
3. Poisson Problems: Superconvergence of Recovered Gradients
on Subdomains of General Polygonal Regions 195
4. Recovered Gradient Superconvergence for Planar Linear Elasticity 207
5. Problem of Linear Elastic Fracture 216
6. Pointwise Superconvergence of Recovered Gradients for Poisson Problems 236
7. Brief Concluding Remarks 257
References 258
Programme of the Meeting 261
List of Participants 263
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:36:47Z |
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| isbn | 354051645X 038751645X |
| language | English |
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| physical | VI, 264 Seiten Diagramme |
| publishDate | 1989 |
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| series2 | Lecture notes in mathematics |
| spelling | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 P. R. Turner (ed.) Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong Springer-Verlag 1989 VI, 264 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1397 Literaturangaben Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Parallelverarbeitung (DE-588)4075860-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1987 Lancaster, Pa. gnd-content Numerische Mathematik (DE-588)4042805-9 s Parallelverarbeitung (DE-588)4075860-6 s DE-604 Turner, Peter R. 1948- (DE-588)1166918548 edt Numerical Analysis Summer School 3 1987 Lancaster Sonstige (DE-588)2106178-6 oth Erscheint auch als Online-Ausgabe 978-3-540-46732-8 Lecture notes in mathematics 1397 (DE-604)BV000676446 1397 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001233568&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 Lecture notes in mathematics Numerische Mathematik (DE-588)4042805-9 gnd Parallelverarbeitung (DE-588)4075860-6 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4075860-6 (DE-588)1071861417 |
| title | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 |
| title_auth | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 |
| title_exact_search | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 |
| title_full | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 P. R. Turner (ed.) |
| title_fullStr | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 P. R. Turner (ed.) |
| title_full_unstemmed | Numerical analysis and parallel processing lectures given at the Lancaster Numerical Analysis Summer School 1987 P. R. Turner (ed.) |
| title_short | Numerical analysis and parallel processing |
| title_sort | numerical analysis and parallel processing lectures given at the lancaster numerical analysis summer school 1987 |
| title_sub | lectures given at the Lancaster Numerical Analysis Summer School 1987 |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Parallelverarbeitung (DE-588)4075860-6 gnd |
| topic_facet | Numerische Mathematik Parallelverarbeitung Konferenzschrift 1987 Lancaster, Pa. |
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