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Ulrich W. Kulisch (born 1933 in Breslau) is a German mathematician specializing in
numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods ...
, including the computer implementation of
interval arithmetic Interval arithmetic (also known as interval mathematics, interval analysis, or interval computation) is a mathematical technique used to put bounds on rounding errors and measurement errors in mathematical computation. Numerical methods usin ...
.


Experience

After graduation from high school in
Freising Freising () is a university town in Bavaria, Germany, and the capital of the Freising ''Landkreis'' (district), with a population of about 50,000. Location Freising is the oldest town between Regensburg and Bolzano, and is located on the ...
, Kulisch studied mathematics at the
University of Munich The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's sixth-oldest university in continuous operatio ...
and the
Technical University of Munich The Technical University of Munich (TUM or TU Munich; german: Technische Universität München) is a public research university in Munich, Germany. It specializes in engineering, technology, medicine, and applied and natural sciences. Establis ...
where in 1961 he completed his dissertation (''Behandlung von Differentialgleichungen im Komplexen auf dem elektronischen Analogrechner'') under Josef Heinhold. After his postdoctoral qualification in 1963, he was acting Professor for Numerical Mathematics of the University of Munich from 1964 to 1966, and from 1966 Professor of Mathematics and Director of the Institute of Applied Mathematics at the
University of Karlsruhe The Karlsruhe Institute of Technology (KIT; german: Karlsruher Institut für Technologie) is a public research university in Karlsruhe, Germany. The institute is a national research center of the Helmholtz Association. KIT was created in 2009 w ...
. During his time in academia, Kulisch spent several sabbaticals abroad. He spent time in 1969/1970 at the Mathematics Research Center of the
University of Wisconsin–Madison A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United Stat ...
under Ramon Edgar Moore; in 1972/1973 and 1978/1979 at IBM's
Thomas J. Watson Research Center The Thomas J. Watson Research Center is the headquarters for IBM Research. The center comprises three sites, with its main laboratory in Yorktown Heights, New York, U.S., 38 miles (61 km) north of New York City, Albany, New York and wit ...
in
Yorktown Heights Yorktown Heights is a census-designated place (CDP) in the town of Yorktown in Westchester County, New York, United States. The population was 1,781 at the 2010 census. History Yorktown Heights is in the town of Yorktown, New York, in northern ...
(where he worked alongside
Willard L. Miranker Willard L. Miranker (March 8, 1932 – April 28, 2011) was an American mathematician and computer scientist, known for his contributions to applied mathematics and numerical mathematics. Raised in Brooklyn, New York, he earned B.A. (1952), M. ...
(1932–2011)); and in 1998 and 1999/2000 at the Electrotechnical Laboratory at the
University of Tsukuba is a public research university located in Tsukuba, Ibaraki, Japan. It is a top 10 Designated National University, and was ranked Type A by the Japanese government as part of the Top Global University Project. The university has 28 colle ...
. Kulisch was one of the pioneers of
interval arithmetic Interval arithmetic (also known as interval mathematics, interval analysis, or interval computation) is a mathematical technique used to put bounds on rounding errors and measurement errors in mathematical computation. Numerical methods usin ...
in Germany in the 1960s and helped to found the discipline, along with and . His implementations of interval arithmetic in computers started with
Algol ALGOL (; short for "Algorithmic Language") is a family of imperative computer programming languages originally developed in 1958. ALGOL heavily influenced many other languages and was the standard method for algorithm description used by the ...
in the 1960s. Kulisch developed software with automated results verification including
Nixdorf Computer Nixdorf Computer AG was a West German computer company founded by Heinz Nixdorf in 1952. Headquartered in Paderborn, Germany, it became the fourth largest computer company in Europe, and a worldwide specialist in banking and point-of-sale syst ...
(
Pascal-XSC Pascal is an Imperative programming, imperative and Procedural programming, procedural programming language, designed by Niklaus Wirth as a small, efficient language intended to encourage good programming practices using structured programming an ...
and others), IBM (projects ACRITH and ACRITH-XSC) and Siemens (program package ARITHMOS). In Karlsruhe, he developed C-XSC and associated program libraries. In 1993/1994 he was also involved in a hardware implementation on the XPA 3233 vector arithmetic coprocessor. He was a founding member of the Computer Science Association in 1968, was chairman of the Computer Mathematics and Scientific Computing Committee of the
Gesellschaft für Angewandte Mathematik und Mechanik Gesellschaft für Angewandte Mathematik und Mechanik ("Society of Applied Mathematics and Mechanics"), often referred to by the acronym GAMM, is a German society for the promotion of science, founded in 1922 by the physicist Ludwig Prandtl and th ...
(GAMM) and of the Technical Committees Enhanced Computer Arithmetic of the International Association for Mathematics and Computers in Simulation (IMACS) 1979 German member of the Working Group 2.5 (Numerical Software) of the International Federation for Information Processing (IFIP), of which he has been a member since 1980. He is on IEEE Standard Committee P1788 for
interval arithmetic Interval arithmetic (also known as interval mathematics, interval analysis, or interval computation) is a mathematical technique used to put bounds on rounding errors and measurement errors in mathematical computation. Numerical methods usin ...
. From 1975 to 1998 he was editor of the
Bibliographisches Institut The German publishing company was founded 1826 in Gotha Gotha () is the fifth-largest city in Thuringia, Germany, west of Erfurt and east of Eisenach with a population of 44,000. The city is the capital of the district of Gotha and wa ...
's ''Jahrbuchs Überblicke Mathematik''.


Bibliography

* "Grundlagen des Numerischen Rechnens – Mathematische Begründung der Rechnerarithmetik", ''Reihe Informatik'' 19, BI 1976 * "Grundzüge der Intervallrechnung", ''Jahrbuch Überblicke Mathematik'', volume 2, BI, Mannheim 1969 * with
Willard L. Miranker Willard L. Miranker (March 8, 1932 – April 28, 2011) was an American mathematician and computer scientist, known for his contributions to applied mathematics and numerical mathematics. Raised in Brooklyn, New York, he earned B.A. (1952), M. ...
(editor): ''A New Approach to Scientific Computation'', Academic Press, New York, 1983. * with Willard L. Miranker: "The arithmetic of the digital computer: a new approach", ''SIAM Rev.'' 28 (1986) 1–40. * with H. J. Stetter (editor), "Scientific Computation with Automatic Result Verification", ''Computing Supplementum'', volume 6, Springer, Wien, 1988. * Editor: ''Wissenschaftliches Rechnen mit Ergebnisverifikation'', Vieweg 1989 * with Willard L. Miranker: ''Computer Arithmetic in Theory and Practice'', Academic Press 1981 * with R. Klatte, M. Neaga, D. Ratz, Ch. Ullrich: ''Pascal XSC- Sprachbeschreibung mit Beispielen'', Springer 1991 (English edition, Springer 1992) * with R. Hammer, M. Hocks, D. Ratz: C''++ Toolbox for Verified Computing'', Springer 1995 * ''Computer, Arithmetik und Numerik – ein Memorandum'', Überblicke Mathematik, Vieweg 1998 * ''Advanced Arithmetic for the Digital Computer – Design of Arithmetic Units'', Springer-Verlag 2002 *''Computer Arithmetic and Validity – Theory, Implementation, and Applications'', de Gruyter 2008, 2nd edition, 2013


References


External links


Homepage
(in German)

(in German) * {{DEFAULTSORT:Kulisch, Ulrich 1933 births 20th-century German mathematicians Living people 21st-century German mathematicians