Differential Equations
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Software Tools: a Building Block Approach
SOFTWARE TOOLS: A BUILDING BLOCK APPROACH NBS Special Publication 500-14 U.S. DEPARTMENT OF COMMERCE National Bureau of Standards ] NATIONAL BUREAU OF STANDARDS The National Bureau of Standards^ was established by an act of Congress March 3, 1901. The Bureau's overall goal is to strengthen and advance the Nation's science and technology and facilitate their effective application for public benefit. To this end, the Bureau conducts research and provides: (1) a basis for the Nation's physical measurement system, (2) scientific and technological services for industry and government, (3) a technical basis for equity in trade, and (4) technical services to pro- mote public safety. The Bureau consists of the Institute for Basic Standards, the Institute for Materials Research, the Institute for Applied Technology, the Institute for Computer Sciences and Technology, the Office for Information Programs, and the ! Office of Experimental Technology Incentives Program. THE INSTITUTE FOR BASIC STANDARDS provides the central basis within the United States of a complete and consist- ent system of physical measurement; coordinates that system with measurement systems of other nations; and furnishes essen- tial services leading to accurate and uniform physical measurements throughout the Nation's scientific community, industry, and commerce. The Institute consists of the Office of Measurement Services, and the following center and divisions: Applied Mathematics — Electricity — Mechanics — Heat — Optical Physics — Center for Radiation Research — Lab- oratory Astrophysics^ — Cryogenics^ — Electromagnetics^ — Time and Frequency*. THE INSTITUTE FOR MATERIALS RESEARCH conducts materials research leading to improved methods of measure- ment, standards, and data on the properties of well-characterized materials needed by industry, commerce, educational insti- tutions, and Government; provides advisory and research services to other Government agencies; and develops, produces, and distributes standard reference materials. -
Edsger W. Dijkstra: a Commemoration
Edsger W. Dijkstra: a Commemoration Krzysztof R. Apt1 and Tony Hoare2 (editors) 1 CWI, Amsterdam, The Netherlands and MIMUW, University of Warsaw, Poland 2 Department of Computer Science and Technology, University of Cambridge and Microsoft Research Ltd, Cambridge, UK Abstract This article is a multiauthored portrait of Edsger Wybe Dijkstra that consists of testimo- nials written by several friends, colleagues, and students of his. It provides unique insights into his personality, working style and habits, and his influence on other computer scientists, as a researcher, teacher, and mentor. Contents Preface 3 Tony Hoare 4 Donald Knuth 9 Christian Lengauer 11 K. Mani Chandy 13 Eric C.R. Hehner 15 Mark Scheevel 17 Krzysztof R. Apt 18 arXiv:2104.03392v1 [cs.GL] 7 Apr 2021 Niklaus Wirth 20 Lex Bijlsma 23 Manfred Broy 24 David Gries 26 Ted Herman 28 Alain J. Martin 29 J Strother Moore 31 Vladimir Lifschitz 33 Wim H. Hesselink 34 1 Hamilton Richards 36 Ken Calvert 38 David Naumann 40 David Turner 42 J.R. Rao 44 Jayadev Misra 47 Rajeev Joshi 50 Maarten van Emden 52 Two Tuesday Afternoon Clubs 54 2 Preface Edsger Dijkstra was perhaps the best known, and certainly the most discussed, computer scientist of the seventies and eighties. We both knew Dijkstra |though each of us in different ways| and we both were aware that his influence on computer science was not limited to his pioneering software projects and research articles. He interacted with his colleagues by way of numerous discussions, extensive letter correspondence, and hundreds of so-called EWD reports that he used to send to a select group of researchers. -
A Common Programming Language for the Depart Final Ment of Defenses-Background and Technical January -December 1975 1 Requirements «
Approved for public release; distribution unlimited I 1 PAPER P-1191 A COMMON PROGRAMMING LANGUAGE 1 FOR THE DEPARTMENT OF DEFENSE - - I BACKGROUND AND TECHNICAL REQUIREMENTS I I D. A. Fisher June 1976 I 1 I I I I INSTITUTE FOR DEFENSE ANALYSES I SCIENCE AND TECHNOLOGY DIVISION I I IDA Log No. HQ 76-18215 I Cop-)*- > . -JJ . of 155. cop I ess Approved for public release; distribution unlimited I I I I The work reported in this document was conducted under contract DAHC15 73 C 0200 for the Department of Defense. The publication I of this IDA Paper does not indicate endorsement by the Department of Defense, nor should the contents be construed as reflecting the official position of that agency. I I I I This document has been approved for public release, distribution is unlimited. I I 1 1 1 I I I Copyright IDA/Scanned June 2007 I 1 Approved for public release; distribution unlimited UNCLASSIFIED - ©; ; ; : ;" -; .©, . 1 SECURITY CLASSIFICATION OF THIS PAGE CWnen DM* Entered; READ INSTRUCTIONS REPORT DOCUMENTATION PAGE BEFORE COMPLETING FORM ). RECIPIENT©S CATALOG NUMBER 1 Paper P-J.191. 4. TITLE fend Subtitle.) 5. TYPE Of REPORT e PERIOD COVERED A Common Programming Language for the Depart Final ment of Defenses-Background and Technical January -December 1975 1 Requirements «. PERFORMING ORG. REPORT NUMBER P-1191 I. CONTRACT OR GRANT NUMBERflJ 1 DAHC15 73 C 0200 D.A, Fisher 10. PROGRAM ELEMENT. PROJECT TASK 1 INSTITUTE FOR DEFENSE ANALYSES AREA * WORK UNIT NUMBERS 400 Army-Navy Drive Task T-36 Arlington. Virginia 22202 11. -
Prizes and Awards Session
PRIZES AND AWARDS SESSION Wednesday, July 12, 2021 9:00 AM EDT 2021 SIAM Annual Meeting July 19 – 23, 2021 Held in Virtual Format 1 Table of Contents AWM-SIAM Sonia Kovalevsky Lecture ................................................................................................... 3 George B. Dantzig Prize ............................................................................................................................. 5 George Pólya Prize for Mathematical Exposition .................................................................................... 7 George Pólya Prize in Applied Combinatorics ......................................................................................... 8 I.E. Block Community Lecture .................................................................................................................. 9 John von Neumann Prize ......................................................................................................................... 11 Lagrange Prize in Continuous Optimization .......................................................................................... 13 Ralph E. Kleinman Prize .......................................................................................................................... 15 SIAM Prize for Distinguished Service to the Profession ....................................................................... 17 SIAM Student Paper Prizes .................................................................................................................... -
Selected Papers
Selected Papers Volume I Arizona, 1968 Peter D. Lax Selected Papers Volume I Edited by Peter Sarnak and Andrew Majda Peter D. Lax Courant Institute New York, NY 10012 USA Mathematics Subject Classification (2000): 11Dxx, 35-xx, 37Kxx, 58J50, 65-xx, 70Hxx, 81Uxx Library of Congress Cataloging-in-Publication Data Lax, Peter D. [Papers. Selections] Selected papers / Peter Lax ; edited by Peter Sarnak and Andrew Majda. p. cm. Includes bibliographical references and index. ISBN 0-387-22925-6 (v. 1 : alk paper) — ISBN 0-387-22926-4 (v. 2 : alk. paper) 1. Mathematics—United States. 2. Mathematics—Study and teaching—United States. 3. Lax, Peter D. 4. Mathematicians—United States. I. Sarnak, Peter. II. Majda, Andrew, 1949- III. Title. QA3.L2642 2004 510—dc22 2004056450 ISBN 0-387-22925-6 Printed on acid-free paper. © 2005 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed in the United States of America. -
Homogenization 2001, Proceedings of the First HMS2000 International School and Conference on Ho- Mogenization
in \Homogenization 2001, Proceedings of the First HMS2000 International School and Conference on Ho- mogenization. Naples, Complesso Monte S. Angelo, June 18-22 and 23-27, 2001, Ed. L. Carbone and R. De Arcangelis, 191{211, Gakkotosho, Tokyo, 2003". On Homogenization and Γ-convergence Luc TARTAR1 In memory of Ennio DE GIORGI When in the Fall of 1976 I had chosen \Homog´en´eisationdans les ´equationsaux d´eriv´eespartielles" (Homogenization in partial differential equations) for the title of my Peccot lectures, which I gave in the beginning of 1977 at Coll`egede France in Paris, I did not know of the term Γ-convergence, which I first heard almost a year after, in a talk that Ennio DE GIORGI gave in the seminar that Jacques-Louis LIONS was organizing at Coll`egede France on Friday afternoons. I had not found the definition of Γ-convergence really new, as it was quite similar to questions that were already discussed in control theory under the name of relaxation (which was a more general question than what most people mean by that term now), and it was the convergence in the sense of Umberto MOSCO [Mos] but without the restriction to convex functionals, and it was the natural nonlinear analog of a result concerning G-convergence that Ennio DE GIORGI had obtained with Sergio SPAGNOLO [DG&Spa]; however, Ennio DE GIORGI's talk contained a quite interesting example, for which he referred to Luciano MODICA (and Stefano MORTOLA) [Mod&Mor], where functionals involving surface integrals appeared as Γ-limits of functionals involving volume integrals, and I thought that it was the interesting part of the concept, so I had found it similar to previous questions but I had felt that the point of view was slightly different. -
User's Manual for the ALCR-ILLINIS-7090 ALGL-60
•::../. ; '-> v.- V. -V.' skss Hi *lSn i'-fh B£H*wffi H HI BBfiffli? •LN. fln WW* WSMmm Ml H II B RAI^Y OF THE UN IVLRSITY Of ILLINOIS SlO.84 XSibus 1964 The person charging this material is re- sponsible for its return on or before the Latest Date stamped below. Theft, mutilation, and underlining of books are reasons for disciplinary action and may result in dismissal from the University. University of Illinois Library i 1970 LI61— O-10Q6 Digitized by the Internet Archive in 2013 http://archive.org/details/usersmanualforalOOuniv »" DIGITAL COMPUTER LABORATORY GRADUATE COLLEGE UNIVERSITY OF ILLINOIS User's Manual for the ALCpR-ILLIN0IS-7O9O ALG0L-6O Translator University of Illinois 2nd Edition Manual Written and Revised by R. Bayer E. Murphree, Jr. D. Gries September 28, I96U . : Preface In June, 19^2, by arrangement between the University of Illinois and the ALCOR group in Europe, Dr. Manfred Paul, Johannes Gutenberg Universitat, Mainz, and Dr. Rudiger Wiehle, Munchen Technische Hochschule, Munich, began the design of the ALC0R-ILLIN0IS-7O9O ALGOL-60 Translator, the use of which is described in this Manual. They were joined in July, I962, by David Gries and the writer and later by Michael Rossin, Theresa Wang and Rudolf Bayer, all graduate students at the University of Illinois This manual is an effort to explain the differences which exist between publication ALGOL-60 as it is defined by the Revised Report on the Algorithmic Language ALGOL-60 (as published in the January I963 issue of Communications of the Association for Computing Machinery) and as it actually has been implemented by the group named above, Relatively few features of ALGOL-60 have not been implemented, so this manual consists mostly of an explanation of the "hardware" representation of true ALGOL rather than deviations from it. -
Scientific Curriculum of Emanuele Haus
Scientific curriculum of Emanuele Haus October 25, 2018 Personal data • Date of birth: 31st July 1983 • Place of birth: Milan (ITALY) • Citizenship: Italian • Gender: male Present position • (December 2016 - present): Fixed-term researcher (RTD-A) at the University of Naples “Federico II”. Previous positions • (November 2016 - December 2016): Research collaborator (“co.co.co.”) at the University of Roma Tre, within the ERC project “HamPDEs – Hamil- tonian PDEs and small divisor problems: a dynamical systems approach” (principal investigator: Michela Procesi). • (August 2014 - July 2016): “assegno di ricerca” (post-doc position) at the University of Naples “Federico II”, within the STAR project “Water waves, PDEs and dynamical systems with small divisors” (principal investi- gator: Pietro Baldi) and the ERC project “HamPDEs – Hamiltonian PDEs and small divisor problems: a dynamical systems approach” (principal in- vestigator: Michela Procesi, local coordinator: Pietro Baldi). • (March 2013 - July 2014): “assegno di ricerca” (post-doc position) at the University of Rome “La Sapienza”, within the ERC project “HamPDEs – Hamiltonian PDEs and small divisor problems: a dynamical systems approach” (principal investigator: Michela Procesi). • (January 2012 - December 2012): post-doc position at the Labora- toire de Mathématiques “Jean Leray” (Nantes), within the ANR project “HANDDY – Hamiltonian and Dispersive equations: Dynamics” (principal investigator: Benoît Grébert). Abilitazione Scientifica Nazionale (National Scientific Qualification) • In 2018, I have obtained the Italian Abilitazione Scientifica Nazionale for the rôle of Associate Professor in the sector 01/A3 (Mathematical Analysis, Probability and Mathematical Statistics). Qualification aux fonctions de Maître de Conférences • In 2013, I have obtained the French Qualification aux fonctions de Maître de Conférences in Mathematics (section 25 of CNRS). -
The Mathematical Heritage of Henri Poincaré
http://dx.doi.org/10.1090/pspum/039.1 THE MATHEMATICAL HERITAGE of HENRI POINCARE PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS Volume 39, Part 1 THE MATHEMATICAL HERITAGE Of HENRI POINCARE AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 39 PROCEEDINGS OF THE SYMPOSIUM ON THE MATHEMATICAL HERITAGE OF HENRI POINCARfe HELD AT INDIANA UNIVERSITY BLOOMINGTON, INDIANA APRIL 7-10, 1980 EDITED BY FELIX E. BROWDER Prepared by the American Mathematical Society with partial support from National Science Foundation grant MCS 79-22916 1980 Mathematics Subject Classification. Primary 01-XX, 14-XX, 22-XX, 30-XX, 32-XX, 34-XX, 35-XX, 47-XX, 53-XX, 55-XX, 57-XX, 58-XX, 70-XX, 76-XX, 83-XX. Library of Congress Cataloging in Publication Data Main entry under title: The Mathematical Heritage of Henri Poincare\ (Proceedings of symposia in pure mathematics; v. 39, pt. 1— ) Bibliography: p. 1. Mathematics—Congresses. 2. Poincare', Henri, 1854—1912— Congresses. I. Browder, Felix E. II. Series: Proceedings of symposia in pure mathematics; v. 39, pt. 1, etc. QA1.M4266 1983 510 83-2774 ISBN 0-8218-1442-7 (set) ISBN 0-8218-1449-4 (part 2) ISBN 0-8218-1448-6 (part 1) ISSN 0082-0717 COPYING AND REPRINTING. Individual readers of this publication, and nonprofit librar• ies acting for them are permitted to make fair use of the material, such as to copy an article for use in teaching or research. Permission is granted to quote brief passages from this publication in re• views provided the customary acknowledgement of the source is given. -
Program of the Sessions--Austin
Program of the Sessions Austin, Texas, October 8±10, 1999 Friday, October 8 Special Session on Harmonic Analysis and PDEs, I 4:00 PM ± 6:50 PM Room 6.104, Robert Lee Moore Hall Meeting Registration Organizers: William Beckner, University of Texas 1:00 PM ± 5:00 PM RLM, Robert Lee Moore Hall at Austin Luis A. Caffarelli, University of Texas AMS Exhibit and Book Sale at Austin Toti Daskalopoulos, University of 1:00 PM ± 5:00 PM RLM, Robert Lee Moore Hall California, Irvine Tatiana Toro, University of Invited Address Washington 4:00PM Regularity of Zakharov System Evolutions. 3:00 PM ± 3:50 PM Room 106, Burdine Hall (6) James E Colliander, University of California, (1) Characterization of non-smooth domains via Berkeley (948-35-298) potential theory. 4:30PM Small Solutions of the Kadomtsev-Petviashvili Carlos E. Kenig, University of Chicago, and Tatiana (7) Equation. Preliminary report. Toro*, University of Washington (948-28-260) Jim Colliander, University of California Berkeley, Carlos E Kenig, University of Chicago, and Gigliola Special Session on Wavelets and Approximation Staf®lani*, Stanford University (948-35-278) Theory, I 5:30PM Multilinear singular integrals. (8) Christoph M Thiele, UC Los Angeles (948-42-231) 4:00 PM ± 5:50 PM Room 5.122, Robert Lee Moore Hall 6:00PM Boundary unique continuation: doubling property I (9) and nodal domains. Preliminary report. Organizers: Don Hong, Eastern Tennessee State University Paul MacManus, N.U.I. Maynooth, Ireland, and Andrea Nahmod*, University of Massachusetts, Michael Prophet, Murray State Amherst (948-42-208) University 6:30PM Recent Regularity Results for Nonlinear Wave 4:00PM Orthogonal lifting: constructing nonseparable (10) Equations. -
A Static Analysis Framework for Security Properties in Mobile and Cryptographic Systems
A Static Analysis Framework for Security Properties in Mobile and Cryptographic Systems Benyamin Y. Y. Aziz, M.Sc. School of Computing, Dublin City University A thesis presented in fulfillment of the requirements for the degree of Doctor of Philosophy Supervisor: Dr Geoff Hamilton September 2003 “Start by doing what’s necessary; then do what’s possible; and suddenly you are doing the impossible” St. Francis of Assisi To Yowell, Olivia and Clotilde Declaration I hereby certify that this material, which I now submit for assessment on the programme of study leading to the award of the degree of Doctor of Philosophy (Ph.D.) is entirely my own work and has not been taken from the work of others save and to the extent that such work has been cited and acknowledged within the text of my work. Signed: I.D. No.: Date: Acknowledgements I would like to thank all those people who were true sources of inspiration, knowledge, guidance and help to myself throughout the period of my doctoral research. In particular, I would like to thank my supervisor, Dr. Geoff Hamilton, without whom this work would not have seen the light. I would also like to thank Dr. David Gray, with whom I had many informative conversations, and my colleagues, Thomas Hack and Fr´ed´ericOehl, for their advice and guidance. Finally, I would like to mention that the work of this thesis was partially funded by project IMPROVE (Enterprise Ireland Strategic Grant ST/2000/94). Benyamin Aziz Abstract We introduce a static analysis framework for detecting instances of security breaches in infinite mobile and cryptographic systems specified using the languages of the π-calculus and its cryptographic extension, the spi calculus. -
Leray in Oflag XVIIA: the Origins of Sheaf Theory
Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences Haynes Miller∗ February 23, 2000 Jean Leray (November 7, 1906{November 10, 1998) was confined to an officers’ prison camp (“Oflag”) in Austria for the whole of World War II. There he took up algebraic topology, and the result was a spectacular flowering of highly original ideas, ideas which have, through the usual metamorphism of history, shaped the course of mathematics in the sixty years since then. Today we would divide his discoveries into three parts: sheaves, sheaf cohomology, and spectral sequences. For the most part these ideas became known only after the war ended, and fully five more years passed before they became widely understood. They now stand at the very heart of much of modern mathematics. I will try to describe them, how Leray may have come to them, and the reception they received. 1 Prewar work Leray's first published work, in 1931, was in fluid dynamics; he proved the basic existence and uniqueness results for the Navier-Stokes equations. Roger Temam [74] has expressed the view that no further significant rigorous work on Navier-Stokes equations was done until that of E. Hopf in 1951. The use of Picard's method for proving existence of solutions of differential equa- tions led Leray to his work in topology with the Polish mathematician Juliusz Schauder. Schauder had recently proven versions valid in Banach spaces of two theorems proven for finite complexes by L. E. J. Brouwer: the fixed point theorem and the theorem of invariance of domain.