• FRONT MATTER R1-R6

• PREFACE R7-R8

• CONTENTS R9-R10

• 1 INTRODUCTION 1-2

• 2 RECENT CONTRIBUTIONS OF THE MATHEMATICAL SCIENCES TO HIGH-PERFORMANCE COMPUTING AND COMMUNICATIONS 3-8

• 3 POTENTIAL CONTRIBUTIONS OF THE MATHEMATICAL SCIENCES TO HIGH-PERFORMANCE COMPUTING AND COMMUNICATIONS 9-14

• 4 THE ROLE OF THE MATHEMATICAL SCIENCES IN THE GRAND CHALLENGES 15-26

• 5 SUMMARY OF THE AREAS WHERE NEW MATHEMATICAL SCIENCES RESEARCH IS NEEDED 27-28

• REFERENCES 29-35

" 4 THE ROLE OF THE MATHEMATICAL SCIENCES IN THE GRAND CHALLENGES ." Mathematical Foundations of High-Performance Computing and Communications . Washington, DC: The National Academies Press, 1991 .

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