Contributions to the theory of numerical analysis as applied to differential equations
Scientific career
Fields
Mathematics
Institutions
Royal Institute of Technology
Doctoral advisor
Fritz Carlson Lars Hörmander
Other academic advisors
Harald Bohr
Doctoral students
Gunilla Borgefors
Gunilla Kreiss
Germund Dahlquist (16 January 1925 – 8 February 2005) was a Swedish mathematician known primarily for his early contributions to the theory of numerical analysis as applied to differential equations.
Dahlquist began to study mathematics at Stockholm University in 1942 at the age of 17, where he cites the Danish mathematician Harald Bohr (who was living in exile after the occupation of Denmark during World War II) as a profound influence.[1]
He received the degree of licentiat from Stockholm University in 1949, before taking a break from his studies to work at the Swedish Board of Computer Machinery (Matematikmaskinnämnden), working on (among other things) the early computer BESK, Sweden's first. During this time, he also worked with Carl-Gustaf Rossby on early numerical weather forecasts.
Dahlquist returned to Stockholm University to complete his Ph.D., Stability and Error Bounds in the Numerical Solution of Ordinary Differential Equations, which he defended in 1958, with Fritz Carlson and Lars Hörmander as his advisors.[2] As part of this work he introduced the logarithmic norm (also introduced by Russian mathematician Sergei Lozinskii the same year).
In 1959 he moved to the Royal Institute of Technology (KTH), where he would later establish what became the Department of Numerical Analysis and Computer Science (NADA) in 1962 (now part of the School of Computer Science and Communication), and become Sweden's first Professor of Numerical Analysis in 1963.[3] He helped establish the Nordic journal of numerical analysis, BIT, in 1961. In 1965 he was elected into the Royal Swedish Academy of Engineering Sciences (IVA).
The software package COMSOL Multiphysics, for finite element analysis of partial differential equations, was started by a couple of Dahlquist's graduate students based upon codes developed for a graduate course at KTH.[1]
^ ab"SIAM Obituary - Germund Dahlquist". Archived from the original on 2015-11-21. Retrieved 2006-12-29.
^Germund Dahlquist at the Mathematics Genealogy Project
GermundDahlquist (16 January 1925 – 8 February 2005) was a Swedish mathematician known primarily for his early contributions to the theory of numerical...
player Gene Dahlquist (born 1942), American football player and coach GermundDahlquist (1925–2005), Swedish mathematician Gordon Dahlquist, U.S. playwright...
is zero-stable. This result is known as the Dahlquist equivalence theorem, named after GermundDahlquist; this theorem is similar in spirit to the Lax...
Zero-stability, also known as D-stability in honor of GermundDahlquist, refers to the stability of a numerical scheme applied to the simple initial value...
operator norm. The logarithmic norm was independently introduced by GermundDahlquist and Sergei Lozinskiĭ in 1958, for square matrices. It has since been...
member of the editorial board between the years 1960 and 1993, and GermundDahlquist between 1962 and 1991. The journal is abstracted and indexed in: Science...
Joseph Oakland Hirschfelder coin the term stiff equations. 1963 - GermundDahlquist introduces A-stability of integration methods. Boundary value problems...
and Fellow of the Royal Society of Edinburgh. He won the 2005 SIAM GermundDahlquist Prize (2005). In 2020 he was awarded a Shephard Prize from the London...
include: GermundDahlquist Prize: Awarded to a young scientist (normally under 45) for original contributions to fields associated with GermundDahlquist (numerical...
Conference on Hyperbolic Problems. In 2019, he received the SIAM GermundDahlquist Prize. He was elected a SIAM fellow in 2022 for "outstanding contributions...
Clozel Yves Colin de Verdière Jean-Louis Colliot-Thelene Alain Connes GermundDahlquist Guy David Alexander Munro Davie M. H. A. Davis Louis de Branges Corrado...
results include Carlson's theorem on Dirichlet series. Hans Rådström, GermundDahlquist, and Tord Ganelius were among his students. Frostman, Otto (1953)...
John W. Tukey 1986: Jacques-Louis Lions 1987: Richard M. Karp 1988: GermundDahlquist 1989: Stephen Smale 1990: Andrew J. Majda 1991: No award was made...
Modeling & Data Analytic Program. Cheng was the 2023 recipient of the GermundDahlquist Prize of the Society for Industrial and Applied Mathematics, in recognition...
solutions of two model problems of fluid dynamics jointly supervised by GermundDahlquist and Björn Engquist. After completing her doctorate, she continued...
(5th ed.), Boston: Prindle, Weber and Schmidt, ISBN 0-534-93219-3. Dahlquist, Germund (1963), "A special stability problem for linear multistep methods"...
Images Using Distance Transformations, was jointly supervised by GermundDahlquist and Jan-Olof Eklundh. She also has a master's degree in journalism...
recipient is requested to give a lecture at the conference. 1999 : GermundDahlquist 2003 : Ernst Hairer and Gerhard Wanner 2007 : Gilbert Strang 2011 :...
W. Tukey (1985) Jacques-Louis Lions (1986) Richard M. Karp (1987) GermundDahlquist (1988) Stephen Smale (1989) Andrew Majda (1990) R. Tyrrell Rockafellar...
47, Swedish antique dealer, teacher and TV presenter. 8 February – GermundDahlquist, mathematician (born 1925) 13 February – Sixten Ehrling, conductor...
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