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{{short description|American mathematician}}
{{Infobox scientist {{Infobox scientist
| name = Burton Wendroff | name = Burton Wendroff
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| known_for = ]s<br /> ] | known_for = ]<br /> ]
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'''Burton Wendroff''' (born 10 March 1930) is an ] applied mathematician known for his contributions to the development of numerical methods for the solution of ]s. The ] for the solution of hyperbolic PDE is named for Wendroff (as well as for ]). '''Burton Wendroff''' (born March 10, 1930) is an American applied mathematician known for his contributions to the development of numerical methods for the solution of ]s. The ] for the solution of hyperbolic PDE is named for Wendroff (as well as for ]).


Wendroff is an Adjunct Professor at the Department of Mathematics and Statistics, ]. He is also a retired Fellow and Associate at the ]. Wendroff is an adjunct professor at the Department of Mathematics and Statistics, ]. He is also a retired fellow and associate at the ].


Burton Wendroff a primary author of the Chess program Lachex. Together with co-author Tony Warnock, Lachex competed at two ] at Cologne (1986) and Madrid (1992).<ref>{{cite web|url=http://www.grappa.univ-lille3.fr/icga/program.php?id=227|title=Lachex|publisher=univ-lille3.fr|accessdate=20 March 2010}}</ref><ref>{{cite journal|last=Wendroff|first=Burton|author2=Tony Warnock |author3=Lewis Stiller |author4=Dean Mayer |author5=Ralph Brickner |date=May 1993|title=Bits and pieces: constructing chess endgame databases on parallel and vector architectures|journal=Applied Numerical Mathematics|volume=12|issue=1–3|pages=285–295|doi=10.1016/0168-9274(93)90123-9|url=https://zenodo.org/record/1258409}}</ref> Wendroff is a primary author of the chess program Lachex. Together with co-author Tony Warnock, Lachex competed at two ] at Cologne (1986) and Madrid (1992).<ref>{{cite web|url=http://www.grappa.univ-lille3.fr/icga/program.php?id=227|title=Lachex|publisher=univ-lille3.fr|access-date=20 March 2010|archive-url=https://web.archive.org/web/20101009095705/http://www.grappa.univ-lille3.fr/icga/program.php?id=227|archive-date=9 October 2010|url-status=dead}}</ref><ref>{{cite journal|last=Wendroff|first=Burton|author2=Tony Warnock |author3=Lewis Stiller |author4=Dean Mayer |author5=Ralph Brickner |date=May 1993|title=Bits and pieces: constructing chess endgame databases on parallel and vector architectures|journal=Applied Numerical Mathematics|volume=12|issue=1–3|pages=285–295|doi=10.1016/0168-9274(93)90123-9|url=https://zenodo.org/record/1258409}}</ref>


==Career and research== ==Career and research==
Wendroff received his B.A. degree in mathematics and physics from the ] in 1951 and M.S. degree in mathematics from the ] in 1952. After his M.S., Burt joined ] as a Staff Member. While at Los Alamos, he went to New York University to do his Ph.D. and received the degree under the supervision of ] in 1958.<ref>{{cite web|url=http://history.siam.org/pdfs2/Lax_final.pdf|title=An interview with Peter D. Lax|publisher=]|accessdate=21 March 2010}}{{dead link|date=July 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> The title of his Ph.D. thesis was "Finite Difference Approximations to the Solutions of Partial Differential Equations". During 1966 to 1973, he served as a professor at the ].<ref>{{cite web|url=http://www.math.unm.edu/~bbw/vita.08.ps|title=Resume: Burton Wendroff|accessdate=21 March 2010|url-status=dead|archiveurl=https://web.archive.org/web/20100619015208/http://math.unm.edu/~bbw/vita.08.ps|archivedate=19 June 2010}}</ref> Wendroff received his B.A. degree in mathematics and physics from the ] in 1951 and M.S. degree in mathematics from the ] in 1952. After his M.S., Burt joined ] as a staff member. While at Los Alamos, he went to New York University to do his Ph.D. and received the degree under the supervision of ] in 1958.<ref>{{cite web|url=http://history.siam.org/pdfs2/Lax_final.pdf|title=An interview with Peter D. Lax|publisher=]|access-date=21 March 2010}}{{dead link|date=July 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> The title of his Ph.D. thesis was "Finite Difference Approximations to the Solutions of Partial Differential Equations". During 1966 to 1973, he served as a professor at the ].<ref>{{cite web|url=http://www.math.unm.edu/~bbw/vita.08.ps|title=Resume: Burton Wendroff|access-date=21 March 2010|url-status=dead|archive-url=https://web.archive.org/web/20100619015208/http://math.unm.edu/~bbw/vita.08.ps|archive-date=19 June 2010}}</ref>


His primary area of research involves the development of ] for ]s using ]. Together with Peter Lax, he has developed the now classical ].<ref>{{cite book|last=LeVeque|first=Randall J.|authorlink=Randall J. LeVeque|title=Finite volume methods for hyperbolic problems|publisher=]|year=2002|url=https://books.google.com/?id=RbydDezW_KgC&pg=PA146&dq=classical+lax-wendroff+method#v=onepage&q=classical%20lax-wendroff%20method&f=false|isbn=9780521009249}}</ref><ref>{{cite book|last=Gustafson|first=Karl E.|title=Introduction to partial differential equations and Hilbert space methods|publisher=]|year=1999|edition=3|url=https://books.google.com/?id=uu059Rj4x8oC&pg=RA1-PA416&dq=classical+lax-wendroff+method#v=onepage&q=classical%20lax-wendroff%20method&f=false|isbn=9780486612713}}</ref> He has developed two-dimensional HLLE ] and associated ] for ] problems. Wendroff has also made contribution to the early development of convergence study of ].<ref>{{cite web|last=Oden|first=J. Tinsley|authorlink=J. Tinsley Oden|url=http://history.siam.org/pdf/jtoden.pdf|title=Historical Comments on Finite Elements|publisher=SIAM|accessdate=21 March 2010}}{{dead link|date=July 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> His primary area of research involves the development of ] for ]s using ]. Together with Peter Lax, he has developed the now classical ].<ref>{{cite book|last=LeVeque|first=Randall J.|authorlink=Randall J. LeVeque|title=Finite volume methods for hyperbolic problems|publisher=]|year=2002|url=https://books.google.com/books?id=RbydDezW_KgC&q=classical+lax-wendroff+method&pg=PA146|isbn=9780521009249}}</ref><ref>{{cite book|last=Gustafson|first=Karl E.|author-link=Karl Edwin Gustafson|title=Introduction to partial differential equations and Hilbert space methods|publisher=]|year=1999|edition=3|url=https://archive.org/details/introductiontopa00gust|url-access=registration|page=|quote=classical lax-wendroff method.|isbn=9780486612713}}</ref> He has developed two-dimensional HLLE ] and associated ] for ] problems. Wendroff has also made contribution to the early development of convergence study of ].<ref>{{cite web|last=Oden|first=J. Tinsley|authorlink=J. Tinsley Oden|url=http://history.siam.org/pdf/jtoden.pdf|title=Historical Comments on Finite Elements|publisher=SIAM|access-date=21 March 2010}}{{dead link|date=July 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>


==Awards and honors== ==Awards and honors==
Wendroff was elected as SIAM Fellow of ] for his "contributions to the numerical solution of ]s".<ref>{{cite web|url=http://fellows.siam.org/index.php?sort=year&value=2009|title=SIAM Fellows: Class of 2009|publisher=]|accessdate=2010-03-21}}</ref> Wendroff was elected as SIAM Fellow of ] for his "contributions to the numerical solution of ]s".<ref>{{cite web|url=http://fellows.siam.org/index.php?sort=year&value=2009|title=SIAM Fellows: Class of 2009|publisher=]|access-date=2010-03-21}}</ref>


==Selected publications== ==Selected publications==
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;Articles ;Articles
*{{cite journal|last=Lax|first=Peter|author2=Wendroff, Burton |year=1960|title=Systems of Conservation Laws|journal=Comm. Pure Appl. Math.|publisher=]|volume=13|issue=2|pages=217–237|url=http://www.springerlink.com/content/r60v6360x9882245/|doi=10.1002/cpa.3160130205}} *{{cite journal|last=Lax|first=Peter|author2=Wendroff, Burton |year=1960|title=Systems of Conservation Laws|journal=Comm. Pure Appl. Math.|publisher=]|volume=13|issue=2|pages=217–237|doi=10.1002/cpa.3160130205|url=https://digital.library.unt.edu/ark:/67531/metadc1021636/}}
*{{cite journal|last=Lax|first=Peter D.|author2=Wendroff, Burton |year=1964|title=Difference Schemes for Hyperbolic Equations with High Order of Accuracy|journal=Comm. Pure Appl. Math.|publisher=Springer|volume=17|issue=3|pages=381–398|url=http://www.springerlink.com/content/gt05x6480n615885/|doi=10.1002/cpa.3160170311}} *{{cite journal|last=Lax|first=Peter D.|author2=Wendroff, Burton |year=1964|title=Difference Schemes for Hyperbolic Equations with High Order of Accuracy|journal=Comm. Pure Appl. Math.|publisher=Springer|volume=17|issue=3|pages=381–398|doi=10.1002/cpa.3160170311}}
*{{cite journal|last=Stewart|first=H.B.|author2=Wendroff, B. |year=1984|title=Two-phase flow: models and methods *{{cite journal|last=Stewart|first=H.B.|author2=Wendroff, B. |year=1984|title=Two-phase flow: models and methods
|journal=]|publisher=]|volume=56|issue=3|pages=363–409|doi=10.1016/0021-9991(84)90103-7|osti=6253509}} |journal=]|publisher=]|volume=56|issue=3|pages=363–409|doi=10.1016/0021-9991(84)90103-7|bibcode=1984JCoPh..56..363S |osti=6253509}}
*{{cite journal|last=Liska|first=Richard|author2=Wendroff, Burton |year=1998|title=Composite Schemes for Conservation Laws *{{cite journal|last=Liska|first=Richard|author2=Wendroff, Burton |year=1998|title=Composite Schemes for Conservation Laws
|journal=SIAM J. Numer. Anal.|publisher=]|volume=35|issue=6|pages=2250–2271|jstor=2587257|doi=10.1137/s0036142996310976|citeseerx=10.1.1.55.7098}} |journal=SIAM J. Numer. Anal.|publisher=]|volume=35|issue=6|pages=2250–2271|jstor=2587257|doi=10.1137/s0036142996310976|citeseerx=10.1.1.55.7098}}
*{{cite journal|last=Wendroff|first=Burton|year=1972|title=The Riemann problem for materials with nonconvex equations of state I: Isentropic flow|journal=J. Math. Anal. Appl.|publisher=]|volume=38|issue=2|pages=454–466|doi=10.1016/0022-247X(72)90103-5}} *{{cite journal|last=Wendroff|first=Burton|year=1972|title=The Riemann problem for materials with nonconvex equations of state I: Isentropic flow|journal=J. Math. Anal. Appl.|publisher=]|volume=38|issue=2|pages=454–466|doi=10.1016/0022-247X(72)90103-5|doi-access=free}}
*{{cite journal|last=Swartz|first=Blair|author2=Wendroff, Burton |year=1969|title=Generalized Finite-Difference Schemes *{{cite journal|last=Swartz|first=Blair|author2=Wendroff, Burton |year=1969|title=Generalized Finite-Difference Schemes
|journal=Math. Comput.|publisher=]|volume=23|issue=105|pages=37–49|jstor=2005052|doi=10.1090/s0025-5718-1969-0239768-7}} |journal=Math. Comput.|publisher=]|volume=23|issue=105|pages=37–49|jstor=2005052|doi=10.1090/s0025-5718-1969-0239768-7|doi-access=free}}
*{{cite journal|last=Thomee|first=Vidar|author2=Wendroff, Burton |year=1974|title=Convergence estimates for Galerkin methods for variable coefficient initial value problems|journal=]|publisher=]|volume=11|issue=5|pages=1059–1068|jstor=2156042|doi=10.1137/0711081}} *{{cite journal|last=Thomee|first=Vidar|author2=Wendroff, Burton |year=1974|title=Convergence estimates for Galerkin methods for variable coefficient initial value problems|journal=]|publisher=]|volume=11|issue=5|pages=1059–1068|jstor=2156042|doi=10.1137/0711081|bibcode=1974SJNA...11.1059T }}


==References== ==References==
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Latest revision as of 00:20, 13 June 2024

American mathematician
Burton Wendroff
Born (1930-03-10) 10 March 1930 (age 94)
NationalityAmerican
Alma materNew York University
Massachusetts Institute of Technology
Known forHyperbolic conservation laws
Lax–Wendroff method
Scientific career
FieldsApplied Mathematics
InstitutionsLos Alamos National Laboratory
University of Denver
University of New Mexico
Doctoral advisorPeter Lax

Burton Wendroff (born March 10, 1930) is an American applied mathematician known for his contributions to the development of numerical methods for the solution of hyperbolic partial differential equations. The Lax–Wendroff method for the solution of hyperbolic PDE is named for Wendroff (as well as for Peter Lax).

Wendroff is an adjunct professor at the Department of Mathematics and Statistics, University of New Mexico. He is also a retired fellow and associate at the Los Alamos National Laboratory.

Wendroff is a primary author of the chess program Lachex. Together with co-author Tony Warnock, Lachex competed at two World Computer Chess Championships at Cologne (1986) and Madrid (1992).

Career and research

Wendroff received his B.A. degree in mathematics and physics from the New York University in 1951 and M.S. degree in mathematics from the Massachusetts Institute of Technology in 1952. After his M.S., Burt joined Los Alamos National Laboratory as a staff member. While at Los Alamos, he went to New York University to do his Ph.D. and received the degree under the supervision of Peter Lax in 1958. The title of his Ph.D. thesis was "Finite Difference Approximations to the Solutions of Partial Differential Equations". During 1966 to 1973, he served as a professor at the University of Denver.

His primary area of research involves the development of numerical schemes for hyperbolic partial differential equations using finite difference method. Together with Peter Lax, he has developed the now classical Lax–Wendroff method. He has developed two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics problems. Wendroff has also made contribution to the early development of convergence study of finite element method.

Awards and honors

Wendroff was elected as SIAM Fellow of Society for Industrial and Applied Mathematics for his "contributions to the numerical solution of partial differential equations".

Selected publications

Books
  • Theoretical Numerical Analysis, Academic Press, 1966.
  • The Theory and Practice of Computation, Addison-Wesley, 1966.
Articles

References

  1. "Lachex". univ-lille3.fr. Archived from the original on 9 October 2010. Retrieved 20 March 2010.
  2. Wendroff, Burton; Tony Warnock; Lewis Stiller; Dean Mayer; Ralph Brickner (May 1993). "Bits and pieces: constructing chess endgame databases on parallel and vector architectures". Applied Numerical Mathematics. 12 (1–3): 285–295. doi:10.1016/0168-9274(93)90123-9.
  3. "An interview with Peter D. Lax" (PDF). SIAM. Retrieved 21 March 2010.
  4. "Resume: Burton Wendroff". Archived from the original on 19 June 2010. Retrieved 21 March 2010.
  5. LeVeque, Randall J. (2002). Finite volume methods for hyperbolic problems. Cambridge University Press. ISBN 9780521009249.
  6. Gustafson, Karl E. (1999). Introduction to partial differential equations and Hilbert space methods (3 ed.). Dover Publications. p. 416. ISBN 9780486612713. classical lax-wendroff method.
  7. Oden, J. Tinsley. "Historical Comments on Finite Elements" (PDF). SIAM. Retrieved 21 March 2010.
  8. "SIAM Fellows: Class of 2009". SIAM. Retrieved 2010-03-21.
  9. Theoretical Numerical Analysis

External links

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