Mostrar código-fonte de James Thomas Beale

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'''James Thomas (J. Thomas "Tom") Beale''' ({{dni|||1947|si}}) é um [[matemático]] [[Povo dos Estados Unidos|estadunidense]], especializado em [[dinâmica de fluidos]], [[Equação diferencial parcial|equações diferenciais parciais]] e [[análise numérica]].<ref name=FAN2010>{{cite web|title=Fluid dynamics, Analysis, and Numerics 2010: A conference in honor of J. Thomas Beale|date=Junho 2020|website=Department of Mathematics, Duke University |url=https://services.math.duke.edu/conferences/FAN2010/beale.html}}</ref>

J. Thomas Beale cresceu em [[Savannah (Geórgia)|Savannah]], [[Geórgia]].<ref>{{cite news|title=Lillian Neidlinger Beale|newspaper=Savannah Morning News|date=8 de outubro de 2004|url= https://www.legacy.com/us/obituaries/savannah/name/lillian-beale-obituary?pid=2686812}}</ref> Em 1967 obteve a graduação no [[Instituto de Tecnologia da Califórnia]] (Caltech) com um bacharelado em matemática.<ref>{{cite book|title=Seventy-Third Annual Commencement|date=9 de junho de 1967|publisher= California Institute of Technology|url=https://campuspubs.library.caltech.edu/2528/1/June_9,_1967.pdf}}</ref> Em 1973 obteve um [[PhD]] em matemática pela [[Universidade Stanford]], com a tese ''Purely imaginary scattering frequencies for exterior domains'',<ref>{{cite book|url=https://books.google.com/books?id=u8VGAAAAIAAJ|title = Purely Imaginary Scattering Frequencies for Exterior Domains|last1 = Beale|first1 = James Thomas|year = 1973}}</ref> orientado por [[Ralph Phillips]].<ref>{{MathGenealogy|id=40266}}</ref> Logo após receber o PhD tornou-se membro do corpo docente da [[Universidade Tulane]]. Em 1983 demitiu-se da Universidade Tulane e tornou-se professor da [[Universidade Duke]], onde aposentou-se em 2016.<ref name=retirement>{{cite web|title=Professor J. Thomas Beale Retires|website=Department of Mathematics, Duke University|date=20 de maio de 2016 |url=https://math.duke.edu/news/professor-j-thomas-beale-retires}}</ref>

{{blockquote|Seu artigo de 1984 com [[Tosio Kato]] e [[Andrew Majda]], ''Remarks on the breakdown of smooth solutions for the 3-D Euler equations'' ([[Communications in Mathematical Physics|Comm. Math. Phys.]] 94 (1984), no. 1, 61–66) foi um resultado muito influente no estudo de singularidades em fluxos de fluidos — um dos problemas restantes em aberto nos [[Problemas do Prémio Millennium|problemas do Milênio]] do [[Clay Mathematics Institute|Clay Institute]]. Tem mais de 50 publicações científicas com muitos colaboradores e abrangendo áreas como [[Onda oceânica de superfície|ondas de água]], métodos de [[vórtice]]s, modelos quasi-geostróficos da atmosfera e oceanos, métodos de divisão numérica e trabalhos recentes em métodos computacionais para [[Integral singular|integrais quase singulares]].<ref name=FAN2010/>}}

Foi [[Lista de palestrantes do Congresso Internacional de Matemáticos|palestrante convidado do Congresso Internacional de Matemáticos]] em [[Zurique]] (1994: ''Analytical and numerical aspects of fluid interfaces'').<ref>{{cite book|doi=10.1007/978-3-0348-9078-6_98|chapter=Analytical and Numerical Aspects of Fluid Interfaces|title=Proceedings of the International Congress of Mathematicians, 1994, Zürich|year=1995|last1=Beale|first1=J. Thomas|publisher=Birkhäuser|location=Basel|pages=1055–1064|isbn=978-3-0348-9897-3}}</ref>

{{blockquote|Sua pesquisa centrou-se em modelos matemáticos de problemas científicos básicos, geralmente descritos por equações diferenciais parciais, como fluxo de fluido com interfaces móveis. Tem se interessado em usar a análise matemática para entender a precisão de métodos numéricos com o objetivo de melhorar seu projeto, especialmente para aqueles métodos onde as soluções são representadas por integrais singulares.<ref name=retirement/>}}

De 28 a 30 de junho de 2010 o departamento de matemática da Universidade Duke realizou uma conferência em sua homenagem.<ref name=FAN2010/>

==Publicações selecionadas==
*{{cite journal|jstor=24891055|title=Spectral Properties of an Acoustic Boundary Condition|last1=Beale|first1=J. Thomas|journal=Indiana University Mathematics Journal|year=1976|volume=25|issue=9|pages=895–917|doi=10.1512/iumj.1976.25.25071|doi-access=free}}
*{{cite journal|jstor=24891336|title=Acoustic Scattering from Locally Reacting Surfaces|last1=Beale|first1=J. Thomas|journal=Indiana University Mathematics Journal|year=1977|volume=26|issue=2|pages=199–222|doi=10.1512/iumj.1977.26.26015|bibcode=1977IUMJ...26..199B|doi-access=free}}
*{{cite journal|doi=10.1090/S0025-5718-1981-0628693-0|title=Rates of convergence for viscous splitting of the Navier-Stokes equations|year=1981|last1=Beale|first1=J. Thomas|last2=Majda|first2=Andrew|journal=Mathematics of Computation|volume=37|issue=156|page=243|doi-access=free}}
*{{cite journal|doi=10.1090/S0025-5718-1982-0658212-5|title=Vortex methods. I. Convergence in three dimensions|year=1982|last1=Beale|first1=J. Thomas|last2=Majda|first2=Andrew|journal=Mathematics of Computation|volume=39|issue=159|page=1|doi-access=free}}
*{{cite journal|doi=10.1090/S0025-5718-1982-0658213-7|title=Vortex methods. II. Higher order accuracy in two and three dimensions|year=1982|last1=Beale|first1=J. Thomas|last2=Majda|first2=Andrew|journal=Mathematics of Computation|volume=39|issue=159|page=29|doi-access=free}}
*{{cite journal|doi=10.1007/BF01212349|title=Remarks on the breakdown of smooth solutions for the <math>3</math>–<math>D</math> Euler equations|year=1984|last1=Beale|first1=J. T.|last2=Kato|first2=T.|last3=Majda|first3=A.|journal=Communications in Mathematical Physics|volume=94|issue=1|pages=61–66|bibcode=1984CMaPh..94...61B|s2cid=120560503}} (over 1600 citations)
*{{cite book|author=Beale, J. Thomas|author2=Nishida, Takaaki|title=Large-Time Behavior of Viscous Surface Waves|series=University of Wisconsin-Madison Mathematics Research Center, MRC Technical Summary Report # 2809, Accession Number AD-A154 805|publisher=Defense Technical Information Center|year=1985|url=https://apps.dtic.mil/sti/citations/ADA154805}}
*{{cite journal|doi=10.1016/0021-9991(85)90176-7|title=High order accurate vortex methods with explicit velocity kernels|year=1985|last1=Beale|first1=J.T.|last2=Majda|first2=A.|journal=Journal of Computational Physics|volume=58|issue=2|pages=188–208|bibcode=1985JCoPh..58..188B}}
*{{cite journal|doi=10.1007/BF01229378|title=Large-time behavior of the Broadwell model of a discrete velocity gas|year=1985|last1=Beale|first1=J. Thomas|journal=Communications in Mathematical Physics|volume=102|issue=2|pages=217–235|bibcode=1985CMaPh.102..217B|s2cid=121412754}} (The Broadwell model was introduced in 1964 by [[James Eugene Broadwell]].<ref name="Broadwell1964">{{cite journal|last1=Broadwell|first1=James E.|title=Shock Structure in a Simple Discrete Velocity Gas|journal=Physics of Fluids|volume=7|issue=8|year=1964|pages=1243|issn=0031-9171|doi=10.1063/1.1711368}}</ref>)
*{{cite journal|doi=10.1090/S0025-5718-1986-0829616-6|title=A convergent <math>3</math>-D vortex method with grid-free stretching|year=1986|last1=Beale|first1=J. Thomas|journal=Mathematics of Computation|volume=46|issue=174|page=401|bibcode=1986MaCom..46..401B|doi-access=free}}
*{{cite journal|doi=10.1007/BF01463401|title=Large-time behavior of discrete velocity Boltzmann equations|year=1986|last1=Beale|first1=J. Thomas|journal=Communications in Mathematical Physics|volume=106|issue=4|pages=659–678|bibcode=1986CMaPh.106..659B|s2cid=122431829|url=http://projecteuclid.org/euclid.cmp/1104115857}}
*{{cite book|doi=10.1007/978-1-4612-3882-9_2|chapter=On the Accuracy of Vortex Methods at Large Times|title=Computational Fluid Dynamics and Reacting Gas Flows|series=The IMA Volumes in Mathematics and Its Applications|year=1988|last1=Beale|first1=J. Thomas|volume=12|pages=19–32|isbn=978-1-4612-8388-1|url=http://purl.umn.edu/4570}}
*{{cite journal|doi=10.1002/cpa.3160460903|title=Growth rates for the linearized motion of fluid interfaces away from equilibrium|year=1993|last1=Beale|first1=J. Thomas|last2=Hou|first2=Thomas Y.|author-link2=Thomas Hou|last3=Lowengrub|first3=John S.|journal=Communications on Pure and Applied Mathematics|volume=46|issue=9|pages=1269–1301}}
*{{cite journal|doi=10.1002/cpa.3160470805|title=Convergence of Euler-Stokes splitting of the Navier-Stokes equations|year=1994|last1=Beale|first1=J. Thomas|last2=Greengard|first2=Claude|journal=Communications on Pure and Applied Mathematics|volume=47|issue=8|pages=1083–1115}}
*{{cite journal|doi=10.1137/S0036141092234980|title=Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean|year=1994|last1=Bourgeois|first1=Alfred J.|last2=Beale|first2=J. Thomas|journal=SIAM Journal on Mathematical Analysis|volume=25|issue=4|pages=1023–1068}}
*{{cite journal|doi=10.1137/S0036142993245750|title=Convergence of a Boundary Integral Method for Water Waves|year=1996|last1=Beale|first1=J. Thomas|last2=Hou|first2=Thomas Y.|last3=Lowengrub|first3=John|journal=SIAM Journal on Numerical Analysis|volume=33|issue=5|pages=1797–1843|url=https://authors.library.caltech.edu/9080/}}
*{{cite journal|doi=10.1137/S0036142999362845|title=A Method for Computing Nearly Singular Integrals|year=2001|last1=Beale|first1=J. Thomas|last2=Lai|first2=Ming-Chih|journal=SIAM Journal on Numerical Analysis|volume=38|issue=6|pages=1902–1925}}
*{{cite journal|doi=10.1137/S0036142903420959|title=A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions|year=2004|last1=Beale|first1=J. Thomas|journal=SIAM Journal on Numerical Analysis|volume=42|issue=2|pages=599–620}}
*{{cite journal|doi=10.1016/j.jcp.2003.10.023|title=Vortex blob methods applied to interfacial motion|year=2004|last1=Baker|first1=Gregory R.|last2=Beale|first2=J.Thomas|journal=Journal of Computational Physics|volume=196|issue=1|pages=233–258|bibcode=2004JCoPh.196..233B}}
*{{cite journal|doi=10.1016/j.jcp.2007.11.047|title=Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces|year=2008|last1=Beale|first1=J. Thomas|last2=Strain|first2=John|author-link2=John Andrew Strain|journal=Journal of Computational Physics|volume=227|issue=8|pages=3896–3920|bibcode=2008JCoPh.227.3896B}}
*{{cite journal|last1=Beale|first1=J. Thomas|last2=Layton|first2=Anita T.|author-link2=Anita Layton|title=A velocity decomposition approach for moving interfaces in viscous fluids|journal=Journal of Computational Physics|volume=228|issue=9|year=2009|pages=3358–3367|issn=0021-9991|doi=10.1016/j.jcp.2009.01.023}}
*{{cite journal|doi=10.1137/080731645|title=Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm|year=2009|last1=Beale|first1=J. Thomas|journal=SIAM Journal on Numerical Analysis|volume=47|issue=4|pages=2476–2495}}
*{{cite journal|doi=10.4208/cicp.020812.080213a|title=Nearly Singular Integrals in 3D Stokes Flow|year=2013|last1=Tlupova|first1=Svetlana|last2=Beale|first2=J. Thomas|journal=Communications in Computational Physics|volume=14|issue=5|pages=1207–1227|bibcode=2013CCoPh..14.1207T}}
*{{cite journal|doi=10.4208/cicp.030815.240216a|title=A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces|year=2016|last1=Beale|first1=J. Thomas|last2=Ying|first2=Wenjun|last3=Wilson|first3=Jason R.|journal=Communications in Computational Physics|volume=20|issue=3|pages=733–753|arxiv=1508.00265|bibcode=2016CCoPh..20..733B|s2cid=41606464}}

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{{DEFAULTSORT:Beale, James Thomas}}
[[Categoria:Dinamicistas dos fluidos]]
[[Categoria:Analistas numéricos]]
[[Categoria:Teóricos das equações diferenciais parciais]]
[[Categoria:Professores da Universidade Tulane]]
[[Categoria:Professores da Universidade Duke]]
[[Categoria:Matemáticos dos Estados Unidos do século XX]]
[[Categoria:Matemáticos dos Estados Unidos do século XXI]]
[[Categoria:Alunos do Instituto de Tecnologia da Califórnia]]
[[Categoria:Alunos da Universidade Stanford]]
[[Categoria:Pessoas vivas]]