詹姆斯·托馬斯·比爾

詹姆斯·托马斯·比尔（英语：James Thomas Beale，1947年—）是一位美国数学家，专长于流体动力学、偏微分方程和数值分析。^[1]

詹姆斯·托马斯·比尔 James Thomas Beale
出生	1947年
国籍	美国
母校	加州理工学院、斯坦福大学
科学生涯
研究领域	数学
机构	杜兰大学（至1983年） 杜克大学（1983年至2016年）

詹姆斯·比尔在佐治亚州萨凡纳长大。^[2]在1967年，他毕业于加州理工学院，获得数学理学学士士学位。^[3]在1973年，他获得斯坦福大学数学博士学位。他的博士论文《外部域的纯虚散射频率》（Purely imaginary scattering frequencies for exterior domains）^[4]是在拉尔夫·索尔·菲利普斯的监督下编写的。^[5]获得博士学位后不久，比尔就成为杜兰大学的一名教员。在1983年，他从杜兰大学辞职，成为杜克大学教授，并于2016年以名誉教授身份退休。^[6]

他于1984年与加藤敏夫和安德鲁·马伊达（英语：Andrew Majda）合作的文章Remarks on the Breakdown of smooth Solutions for the 3-D Eulerequations（《数学物理通讯（英语：Communications in Mathematical Physics）》 94 (1984), no. 1, 61–66）在流体流动奇点研究中（克雷研究所千禧年难题中剩余悬而未决的问题之一）是非常有影响力的成果。他与许多合作者发表了50多篇科学出版物，涵盖的领域包括水波、涡旋方法、大气和海洋的准地转方程、数值分裂方法以及近奇异积分计算方法的最新工作。^[1]

在1994年，比尔受邀在苏黎世国际数学家大会上发表流体界面的分析和数值方面的演讲。^[7]

他的研究集中在基础科学问题的数学模型上，这些问题通常是偏微分方程，例如具有移动界面的流体流动。他一直对使用数学分析来了解数值方法的准确性感兴趣，目的是改进其设计，特别是对于那些用奇异积分表示解的方法。^[6]

在2010年6月28日至30日，杜克大学数学系为他举行了一次会议。^[1]

精选出版物

• Beale, J. Thomas. Spectral Properties of an Acoustic Boundary Condition. Indiana University Mathematics Journal. 1976, 25 (9): 895–917. JSTOR 24891055. doi:10.1512/iumj.1976.25.25071 .
• Beale, J. Thomas. Acoustic Scattering from Locally Reacting Surfaces. Indiana University Mathematics Journal. 1977, 26 (2): 199–222. Bibcode:1977IUMJ...26..199B. JSTOR 24891336. doi:10.1512/iumj.1977.26.26015 .
• Beale, J. Thomas; Majda, Andrew. Rates of convergence for viscous splitting of the Navier-Stokes equations. Mathematics of Computation. 1981, 37 (156): 243. doi:10.1090/S0025-5718-1981-0628693-0 .
• Beale, J. Thomas; Majda, Andrew. Vortex methods. I. Convergence in three dimensions. Mathematics of Computation. 1982, 39 (159): 1. doi:10.1090/S0025-5718-1982-0658212-5 .
• Beale, J. Thomas; Majda, Andrew. Vortex methods. II. Higher order accuracy in two and three dimensions. Mathematics of Computation. 1982, 39 (159): 29. doi:10.1090/S0025-5718-1982-0658213-7 .
• Beale, J. T.; Kato, T.; Majda, A. Remarks on the breakdown of smooth solutions for the ${\displaystyle 3}$–${\displaystyle D}$ Euler equations. Communications in Mathematical Physics. 1984, 94 (1): 61–66 [2023-06-30]. Bibcode:1984CMaPh..94...61B. S2CID 120560503. doi:10.1007/BF01212349. （原始内容存档于2020-08-07）. (over 1600 citations)
• Beale, J. Thomas; Nishida, Takaaki. Large-Time Behavior of Viscous Surface Waves. University of Wisconsin-Madison Mathematics Research Center, MRC Technical Summary Report # 2809, Accession Number AD-A154 805. Defense Technical Information Center. 1985. （原始内容存档于August 3, 2021）.
• Beale, J.T.; Majda, A. High order accurate vortex methods with explicit velocity kernels. Journal of Computational Physics. 1985, 58 (2): 188–208. Bibcode:1985JCoPh..58..188B. doi:10.1016/0021-9991(85)90176-7.
• Beale, J. Thomas. Large-time behavior of the Broadwell model of a discrete velocity gas. Communications in Mathematical Physics. 1985, 102 (2): 217–235 [2023-06-30]. Bibcode:1985CMaPh.102..217B. S2CID 121412754. doi:10.1007/BF01229378. （原始内容存档于2020-06-06）. (The Broadwell model was introduced in 1964 by James Eugene Broadwell.^[8])
• Beale, J. Thomas. A convergent ${\displaystyle 3}$-D vortex method with grid-free stretching. Mathematics of Computation. 1986, 46 (174): 401. Bibcode:1986MaCom..46..401B. doi:10.1090/S0025-5718-1986-0829616-6 .
• Beale, J. Thomas. Large-time behavior of discrete velocity Boltzmann equations. Communications in Mathematical Physics. 1986, 106 (4): 659–678 [2023-06-30]. Bibcode:1986CMaPh.106..659B. S2CID 122431829. doi:10.1007/BF01463401. （原始内容存档于2020-06-12）.
• Beale, J. Thomas. On the Accuracy of Vortex Methods at Large Times. Computational Fluid Dynamics and Reacting Gas Flows. The IMA Volumes in Mathematics and Its Applications 12. 1988: 19–32. ISBN 978-1-4612-8388-1. doi:10.1007/978-1-4612-3882-9_2.
• Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S. Growth rates for the linearized motion of fluid interfaces away from equilibrium. Communications on Pure and Applied Mathematics. 1993, 46 (9): 1269–1301. doi:10.1002/cpa.3160460903.
• Beale, J. Thomas; Greengard, Claude. Convergence of Euler-Stokes splitting of the Navier-Stokes equations. Communications on Pure and Applied Mathematics. 1994, 47 (8): 1083–1115. doi:10.1002/cpa.3160470805.
• Bourgeois, Alfred J.; Beale, J. Thomas. Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean. SIAM Journal on Mathematical Analysis. 1994, 25 (4): 1023–1068. doi:10.1137/S0036141092234980.
• Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John. Convergence of a Boundary Integral Method for Water Waves. SIAM Journal on Numerical Analysis. 1996, 33 (5): 1797–1843 [2023-06-30]. doi:10.1137/S0036142993245750. （原始内容存档于2023-06-30）.
• Beale, J. Thomas; Lai, Ming-Chih. A Method for Computing Nearly Singular Integrals. SIAM Journal on Numerical Analysis. 2001, 38 (6): 1902–1925. doi:10.1137/S0036142999362845.
• Beale, J. Thomas. A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions. SIAM Journal on Numerical Analysis. 2004, 42 (2): 599–620. doi:10.1137/S0036142903420959.
• Baker, Gregory R.; Beale, J.Thomas. Vortex blob methods applied to interfacial motion. Journal of Computational Physics. 2004, 196 (1): 233–258. Bibcode:2004JCoPh.196..233B. doi:10.1016/j.jcp.2003.10.023.
• Beale, J. Thomas; Strain, John. Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Journal of Computational Physics. 2008, 227 (8): 3896–3920. Bibcode:2008JCoPh.227.3896B. doi:10.1016/j.jcp.2007.11.047.
• Beale, J. Thomas; Layton, Anita T. A velocity decomposition approach for moving interfaces in viscous fluids. Journal of Computational Physics. 2009, 228 (9): 3358–3367. Bibcode:2009JCoPh.228.3358B. ISSN 0021-9991. doi:10.1016/j.jcp.2009.01.023.
• Beale, J. Thomas. Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm. SIAM Journal on Numerical Analysis. 2009, 47 (4): 2476–2495. doi:10.1137/080731645.
• Tlupova, Svetlana; Beale, J. Thomas. Nearly Singular Integrals in 3D Stokes Flow. Communications in Computational Physics. 2013, 14 (5): 1207–1227. Bibcode:2013CCoPh..14.1207T. doi:10.4208/cicp.020812.080213a.
• Beale, J. Thomas; Ying, Wenjun; Wilson, Jason R. A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces. Communications in Computational Physics. 2016, 20 (3): 733–753. Bibcode:2016CCoPh..20..733B. S2CID 41606464. arXiv:1508.00265 . doi:10.4208/cicp.030815.240216a.