# zbMATH — the first resource for mathematics

## Beale, J. Thomas

Compute Distance To:
 Author ID: beale.j-thomas Published as: Beale, J. T.; Beale, J. Thomas
 Documents Indexed: 65 Publications since 1973, including 1 Book
all top 5

#### Co-Authors

 30 single-authored 5 Hou, Thomas Yizhao 5 Lowengrub, John Samuel 5 Majda, Andrew J. 3 Layton, Anita T. 3 Ying, Wenjun 2 Greengard, Claude 2 Lifschitz, Alexander E. 2 Maida, Andrew 2 Nishida, Takaaki 2 Suters, W. Henry 2 Tlupova, Svetlana 1 Baker, Gregory R. 1 Bourgeois, Alfred J. 1 Chopp, David L. 1 Cottet, Georges-Henri 1 Eydeland, Alexander 1 Huberson, Serge G. 1 Kato, Tosio 1 Lai, Mingchih 1 LeVeque, Randall J. 1 Li, Zhilin 1 Rosencrans, Steven I. 1 Schaeffer, David G. 1 Shelley, Michael J. 1 Strain, John A. 1 Teramoto, Yoshiaki 1 Thomann, Enrique A. 1 Turkington, Bruce E. 1 Wilson, Jason R.
all top 5

#### Serials

 8 Journal of Computational Physics 7 Communications on Pure and Applied Mathematics 6 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 3 Communications in Mathematical Physics 3 Communications in Computational Physics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Communications in Applied Mathematics and Computational Science 1 Archive for Rational Mechanics and Analysis 1 Journal of Differential Equations 1 Numerische Mathematik 1 Mathematical and Computer Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Turbulence 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the American Mathematical Society 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 RIMS Kôkyûroku Bessatsu
all top 5

#### Fields

 51 Fluid mechanics (76-XX) 34 Partial differential equations (35-XX) 27 Numerical analysis (65-XX) 4 Potential theory (31-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 1,736 times in 1,385 Documents Cited by Year
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
1984
Large-time regularity of viscous surface waves. Zbl 0545.76029
Beale, J. T.
1984
The initial value problem for the Navier-Stokes equations with a free surface. Zbl 0464.76028
Beale, J. Thomas
1981
Spectral properties of an acoustic boundary condition. Zbl 0325.35060
Beale, J. Thomas
1976
Acoustic boundary conditions. Zbl 0294.35045
Beale, J. Thomas; Rosencrans, Steven I.
1974
On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319
Beale, J. Thomas; Layton, Anita T.
2006
High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037
Beale, J. T.; Majda, A.
1985
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
1993
Exact solitary water waves with capillary ripples at infinity. Zbl 0727.76019
Beale, J. Thomas
1991
Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean. Zbl 0811.35097
Bourgeois, Alfred J.; Beale, J. Thomas
1994
Vortex methods. II: Higher order accuracy in two and three dimensions. Zbl 0488.76025
Beale, J. Thomas; Maida, Andrew
1982
Vortex methods. I: Convergence in three dimensions. Zbl 0488.76024
Beale, J. Thomas; Maida, Andrew
1982
Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027
Beale, J. Thomas; Majda, Andrew
1981
Scattering frequencies of resonators. Zbl 0254.35094
Beale, J. Thomas
1973
A method for computing nearly singular integrals. Zbl 0988.65025
Beale, J. Thomas; Lai, Ming-Chih
2001
The existence of solitary water waves. Zbl 0379.35055
Beale, J. Thomas
1977
Acoustic scattering from locally reacting surfaces. Zbl 0332.35053
Beale, J. Thomas
1977
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
1996
Large-time behavior of discrete velocity Boltzmann equations. Zbl 0637.76070
Beale, J. Thomas
1986
A convergent boundary integral method for three-dimensional water waves. Zbl 0980.76053
Beale, J. Thomas
2001
Large-time behavior of viscous surface waves. Zbl 0642.76048
Beale, J. Thomas; Nishida, Takaaki
1985
A convergent 3-D vortex method with grid-free stretching. Zbl 0602.76024
Beale, J. Thomas
1986
Large-time behavior of the Broadwell model of a discrete velocity gas. Zbl 0626.76080
Beale, J. Thomas
1985
A grid-based boundary integral method for elliptic problems in three dimensions. Zbl 1159.65368
Beale, J. Thomas
2004
On the accuracy of vortex methods at large times. Zbl 0671.76024
Beale, J. Thomas
1988
Eigenfunction expansions for objects floating in an open sea. Zbl 0336.76004
Beale, J. Thomas
1977
Nearly singular integrals in 3D Stokes flow. Zbl 1373.76153
Tlupova, Svetlana; Beale, J. Thomas
2013
Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Zbl 1146.76044
Beale, J. Thomas; Strain, John
2008
The design and numerical analysis of vortex methods. Zbl 0491.76007
Majda, A. J.; Beale, J. T.
1982
A simple method for computing singular or nearly singular integrals on closed surfaces. Zbl 1388.65167
Beale, J. Thomas; Ying, Wenjun; Wilson, Jason R.
2016
Vortex blob methods applied to interfacial motion. Zbl 1115.76380
Baker, Gregory R.; Beale, J. Thomas
2004
A fast accurate boundary integral method for potentials on closely packed cells. Zbl 1388.65170
Ying, Wenjun; Beale, J. Thomas
2013
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
1994
The existence of cnoidal water waves with surface tension. Zbl 0374.76018
Beale, J. Thomas
1979
Vortex methods for fluid flow in two or three dimensions. Zbl 0552.76026
Beale, J. Thomas; Majda, Andrew
1984
Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm. Zbl 1198.65161
Beale, J. Thomas
2009
A proof that a discrete delta function is second-order accurate. Zbl 1136.65017
Beale, J. Thomas
2008
Purely imaginary scattering frequencies for exterior domains. Zbl 0289.35067
Beale, J. Thomas
1974
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
2008
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
1997
The onset of instability in exact vortex rings with swirl. Zbl 0883.76066
Lifschitz, Alexander; Suters, W. Henry; Beale, J. Thomas
1996
The approximation of weak solutions to the 2-D Euler equations by vortex elements. Zbl 0850.76491
Beale, J. Thomas
1991
Nonlinear behavior of model equations which are linearly ill-posed. Zbl 0679.35082
Beale, J. Thomas; Schaeffer, David G.
1988
Water waves generated by a pressure disturbance on a steady stream. Zbl 0437.76018
Beale, J. Thomas
1980
Partially implicit motion of a sharp interface in Navier-Stokes flow. Zbl 1277.76056
Beale, J. Thomas
2012
A partially implicit hybrid method for computing interface motion in Stokes flow. Zbl 1426.76547
Layton, Anita T.; Beale, J. Thomas
2012
A velocity decomposition approach for moving interfaces in viscous fluids. Zbl 1160.76327
Beale, J. Thomas; Layton, Anita T.
2008
Convergence of Euler-Stokes splitting of the Navier-Stokes equations. Zbl 0807.35108
Beale, J. Thomas; Greengard, Claude
1994
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation. Zbl 1411.31010
Beale, J. Thomas; Ying, Wenjun
2019
Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method. Zbl 1326.76078
Beale, J. Thomas
2015
Methods for computing singular and nearly singular integrals. Zbl 1082.65516
Beale, J. Thomas
2002
Boundary integral methods for three-dimensional water waves. Zbl 0991.76049
Beale, J. Thomas
2000
Operator splitting for Navier-Stokes equations and Chorin-Marsden product formula. Zbl 0860.76063
Beale, J. Thomas; Greengard, Claude; Thomann, Enrique
1993
Vortex flows and related numerical methods. Proceedings of the NATO Advanced Research Workshop, Grenoble, France, June 15-19, 1992. Zbl 0818.00017
Beale, J. T. (ed.); Cottet, G.-H. (ed.); Huberson, S. (ed.)
1993
Large-time regularity of viscous surface waves. Zbl 0556.35109
Beale, J. Thomas
1983
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation. Zbl 1411.31010
Beale, J. Thomas; Ying, Wenjun
2019
A simple method for computing singular or nearly singular integrals on closed surfaces. Zbl 1388.65167
Beale, J. Thomas; Ying, Wenjun; Wilson, Jason R.
2016
Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method. Zbl 1326.76078
Beale, J. Thomas
2015
Nearly singular integrals in 3D Stokes flow. Zbl 1373.76153
Tlupova, Svetlana; Beale, J. Thomas
2013
A fast accurate boundary integral method for potentials on closely packed cells. Zbl 1388.65170
Ying, Wenjun; Beale, J. Thomas
2013
Partially implicit motion of a sharp interface in Navier-Stokes flow. Zbl 1277.76056
Beale, J. Thomas
2012
A partially implicit hybrid method for computing interface motion in Stokes flow. Zbl 1426.76547
Layton, Anita T.; Beale, J. Thomas
2012
Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm. Zbl 1198.65161
Beale, J. Thomas
2009
Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Zbl 1146.76044
Beale, J. Thomas; Strain, John
2008
A proof that a discrete delta function is second-order accurate. Zbl 1136.65017
Beale, J. Thomas
2008
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
2008
A velocity decomposition approach for moving interfaces in viscous fluids. Zbl 1160.76327
Beale, J. Thomas; Layton, Anita T.
2008
On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319
Beale, J. Thomas; Layton, Anita T.
2006
A grid-based boundary integral method for elliptic problems in three dimensions. Zbl 1159.65368
Beale, J. Thomas
2004
Vortex blob methods applied to interfacial motion. Zbl 1115.76380
Baker, Gregory R.; Beale, J. Thomas
2004
Methods for computing singular and nearly singular integrals. Zbl 1082.65516
Beale, J. Thomas
2002
A method for computing nearly singular integrals. Zbl 0988.65025
Beale, J. Thomas; Lai, Ming-Chih
2001
A convergent boundary integral method for three-dimensional water waves. Zbl 0980.76053
Beale, J. Thomas
2001
Boundary integral methods for three-dimensional water waves. Zbl 0991.76049
Beale, J. Thomas
2000
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
1997
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
1996
The onset of instability in exact vortex rings with swirl. Zbl 0883.76066
Lifschitz, Alexander; Suters, W. Henry; Beale, J. Thomas
1996
Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean. Zbl 0811.35097
Bourgeois, Alfred J.; Beale, J. Thomas
1994
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
1994
Convergence of Euler-Stokes splitting of the Navier-Stokes equations. Zbl 0807.35108
Beale, J. Thomas; Greengard, Claude
1994
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
1993
Operator splitting for Navier-Stokes equations and Chorin-Marsden product formula. Zbl 0860.76063
Beale, J. Thomas; Greengard, Claude; Thomann, Enrique
1993
Vortex flows and related numerical methods. Proceedings of the NATO Advanced Research Workshop, Grenoble, France, June 15-19, 1992. Zbl 0818.00017
Beale, J. T. (ed.); Cottet, G.-H. (ed.); Huberson, S. (ed.)
1993
Exact solitary water waves with capillary ripples at infinity. Zbl 0727.76019
Beale, J. Thomas
1991
The approximation of weak solutions to the 2-D Euler equations by vortex elements. Zbl 0850.76491
Beale, J. Thomas
1991
On the accuracy of vortex methods at large times. Zbl 0671.76024
Beale, J. Thomas
1988
Nonlinear behavior of model equations which are linearly ill-posed. Zbl 0679.35082
Beale, J. Thomas; Schaeffer, David G.
1988
Large-time behavior of discrete velocity Boltzmann equations. Zbl 0637.76070
Beale, J. Thomas
1986
A convergent 3-D vortex method with grid-free stretching. Zbl 0602.76024
Beale, J. Thomas
1986
High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037
Beale, J. T.; Majda, A.
1985
Large-time behavior of viscous surface waves. Zbl 0642.76048
Beale, J. Thomas; Nishida, Takaaki
1985
Large-time behavior of the Broadwell model of a discrete velocity gas. Zbl 0626.76080
Beale, J. Thomas
1985
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
1984
Large-time regularity of viscous surface waves. Zbl 0545.76029
Beale, J. T.
1984
Vortex methods for fluid flow in two or three dimensions. Zbl 0552.76026
Beale, J. Thomas; Majda, Andrew
1984
Large-time regularity of viscous surface waves. Zbl 0556.35109
Beale, J. Thomas
1983
Vortex methods. II: Higher order accuracy in two and three dimensions. Zbl 0488.76025
Beale, J. Thomas; Maida, Andrew
1982
Vortex methods. I: Convergence in three dimensions. Zbl 0488.76024
Beale, J. Thomas; Maida, Andrew
1982
The design and numerical analysis of vortex methods. Zbl 0491.76007
Majda, A. J.; Beale, J. T.
1982
The initial value problem for the Navier-Stokes equations with a free surface. Zbl 0464.76028
Beale, J. Thomas
1981
Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027
Beale, J. Thomas; Majda, Andrew
1981
Water waves generated by a pressure disturbance on a steady stream. Zbl 0437.76018
Beale, J. Thomas
1980
The existence of cnoidal water waves with surface tension. Zbl 0374.76018
Beale, J. Thomas
1979
The existence of solitary water waves. Zbl 0379.35055
Beale, J. Thomas
1977
Acoustic scattering from locally reacting surfaces. Zbl 0332.35053
Beale, J. Thomas
1977
Eigenfunction expansions for objects floating in an open sea. Zbl 0336.76004
Beale, J. Thomas
1977
Spectral properties of an acoustic boundary condition. Zbl 0325.35060
Beale, J. Thomas
1976
Acoustic boundary conditions. Zbl 0294.35045
Beale, J. Thomas; Rosencrans, Steven I.
1974
Purely imaginary scattering frequencies for exterior domains. Zbl 0289.35067
Beale, J. Thomas
1974
Scattering frequencies of resonators. Zbl 0254.35094
Beale, J. Thomas
1973
all top 5

#### Cited by 1,553 Authors

 31 Chae, Dongho 25 Hou, Thomas Yizhao 16 Beale, J. Thomas 15 Constantin, Peter 15 Xin, Zhouping 14 Park, Jong Yeoul 14 Wu, Jiahong 14 Zhang, Zhifei 13 Tice, Ian 12 Cordoba, Diego 12 Li, Zhilin 10 Fefferman, Charles Louis 10 Gancedo, Francisco 10 Gibbon, John D. 10 Huang, Xiangdi 10 Wang, Yongfu 9 Frota, Cicero Lopes 9 Li, Jing 9 Liu, Jianguo 9 Lowengrub, John Samuel 9 Nazarov, Sergeĭ Aleksandrovich 9 Shkoller, Steve 9 Wang, Yanjin 9 Wang, Yuzhu 9 Zhao, Jihong 8 Elgindi, Tarek Mohamed 8 Liu, Qiao 8 Ohkitani, Koji 8 Shibata, Yoshihiro 8 Tornberg, Anna-Karin 8 Yamazaki, Kazuo 7 Cortez, Ricardo 7 Fan, Jishan 7 Hmidi, Taoufik 7 Koumoutsakos, Petros D. 7 Kukavica, Igor 7 Lai, Mingchih 7 Majda, Andrew J. 7 Masmoudi, Nader 7 Rousset, Frédéric 7 Vasseur, Alexis F. 7 Yao, Zhengan 7 Ye, Zhuan 7 Ying, Wenjun 7 Zhang, Zujin 6 Castro, Ángel 6 Chen, Qionglei 6 Constantin, Adrian 6 Coutand, Daniel 6 Deng, Shengfu 6 Dong, Boqing 6 Greengard, Leslie F. 6 Guo, Boling 6 Holm, Darryl D. 6 Kang, Yong Han 6 Kerr, Robert M. 6 Knio, Omar M. 6 Lasiecka, Irena 6 Li, Dong 6 Liu, Wenjun 6 Pizzocchero, Livio 6 Solonnikov, Vsevolod Alekseevich 6 Sun, Shuming 6 Taniuchi, Yasushi 6 Walther, Jens Honoré 6 Wang, Changyou 6 Wang, Shu 6 Xiang, Zhaoyin 6 Zabusky, Norman J. 5 Ambrose, David M. 5 Amick, Charles J. 5 Benameur, Jamel 5 Caflisch, Russel E. 5 Campos Pinto, Martin 5 Gadyl’shin, Rustem R. 5 Ghoniem, Ahmed F. 5 Gómez-Serrano, Javier 5 Ha, Tae Gab 5 Jimbo, Shuichi 5 Jiu, Quansen 5 Kawashima, Shuichi 5 Miao, Changxing 5 Spirito, Stefano 5 Titi, Edriss Saleh 5 Veerapaneni, Shravan Kumar 5 Vicente, André 5 Vicol, Vlad C. 5 Wang, Yinxia 5 Wei, Guowei 5 Wen, Huanyao 5 Wolf, Jörg 5 Wright, J. Douglas 5 Yuan, Baoquan 5 Zhou, Yong 5 Zhu, Shengguo 4 Bae, Hantaek 4 Barnett, Alex H. 4 Benabderrahmane, Benyattou 4 Boukhatem, Yamna 4 Boyd, John Philip ...and 1,453 more Authors
all top 5

#### Cited in 228 Serials

 124 Journal of Computational Physics 71 Archive for Rational Mechanics and Analysis 67 Journal of Differential Equations 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Communications in Mathematical Physics 43 Journal of Mathematical Analysis and Applications 41 Journal of Fluid Mechanics 37 Physica D 33 Communications in Partial Differential Equations 31 Physics of Fluids 30 Mathematical Methods in the Applied Sciences 29 Journal of Mathematical Fluid Mechanics 24 Journal of Mathematical Physics 20 SIAM Journal on Mathematical Analysis 19 Mathematics of Computation 16 Computers and Fluids 16 Applied Mathematics Letters 15 Communications on Pure and Applied Mathematics 15 Applied Mathematics and Computation 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Nonlinear Science 14 Computers & Mathematics with Applications 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Discrete and Continuous Dynamical Systems 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of Functional Analysis 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Nonlinear Analysis. Real World Applications 12 Computer Methods in Applied Mechanics and Engineering 12 Advances in Mathematics 11 Boundary Value Problems 10 Applicable Analysis 9 Journal of Computational and Applied Mathematics 9 Journal of Scientific Computing 9 Acta Mathematica Sinica. English Series 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 SIAM Journal on Control and Optimization 8 Applied Numerical Mathematics 7 Journal of Statistical Physics 7 Numerische Mathematik 7 Journal of Evolution Equations 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Proceedings of the Japan Academy. Series A 6 Quarterly of Applied Mathematics 6 Chinese Annals of Mathematics. Series B 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 European Journal of Mechanics. B. Fluids 6 Journal of Hyperbolic Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications 5 Physics of Fluids, A 5 Applied Mathematics and Optimization 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Journal on Scientific Computing 5 Journal of Mathematical Sciences (New York) 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Analysis 5 Annals of PDE 4 Journal of Engineering Mathematics 4 Nonlinearity 4 Theoretical and Computational Fluid Dynamics 4 Journal of the Mathematical Society of Japan 4 Journal of Soviet Mathematics 4 Numerical Functional Analysis and Optimization 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Numerical Analysis 4 Siberian Mathematical Journal 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Applicandae Mathematicae 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Revista Matemática Iberoamericana 4 Applied Mathematical Modelling 4 Proceedings of the National Academy of Sciences of the United States of America 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Annals of Mathematics. Second Series 4 Journal of Turbulence 4 Science China. Mathematics 3 Transport Theory and Statistical Physics 3 Wave Motion 3 BIT 3 Studies in Applied Mathematics 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Calculus of Variations and Partial Differential Equations 3 Computational and Applied Mathematics 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Living Reviews in Relativity 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Annales de l’Institut Fourier ...and 128 more Serials
all top 5

#### Cited in 36 Fields

 1,017 Partial differential equations (35-XX) 992 Fluid mechanics (76-XX) 195 Numerical analysis (65-XX) 65 Mechanics of deformable solids (74-XX) 60 Geophysics (86-XX) 44 Statistical mechanics, structure of matter (82-XX) 35 Dynamical systems and ergodic theory (37-XX) 26 Systems theory; control (93-XX) 24 Probability theory and stochastic processes (60-XX) 20 Optics, electromagnetic theory (78-XX) 20 Biology and other natural sciences (92-XX) 18 Functional analysis (46-XX) 17 Real functions (26-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Ordinary differential equations (34-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Operator theory (47-XX) 11 Integral equations (45-XX) 10 Approximations and expansions (41-XX) 9 Differential geometry (53-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 5 Relativity and gravitational theory (83-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX)