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## Darve, Eric

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 Author ID: darve.eric Published as: Darve, E.; Darve, Eric External Links: MGP · ORCID
 Documents Indexed: 51 Publications since 1997
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#### Co-Authors

 4 single-authored 6 Saintillan, David 6 Shaqfeh, Eric S. G. 5 Cecka, Cris 5 Li, Song 4 Coulier, Pieter 4 Takahashi, Toru 3 Ambikasaran, Sivaram 3 Cambier, Léopold 3 Fong, William 3 Létourneau, Pierre-David 3 Lew, Adrian J. 3 Pouransari, Hadi 2 Agullo, Emmanuel 2 Aminfar, AmirHossein 2 Boman, Erik G. 2 Chen, Chao 2 Havé, Pascal 2 Li, Yingzhou 2 Messner, Matthias 2 Rajamanickam, Sivasankaran 2 Tuminaro, Raymond S. 2 Wang, Ruoxi 2 Xu, Kailai 1 Ahmed, Samah M. 1 Bramas, Bérenger 1 Cecka, Cristopher 1 Costaouec, Ronan 1 Coulaud, Olivier 1 Dharmaraja, Sohan 1 Elsen, Erich 1 Farhat, Charbel H. 1 Feng, Haoyun 1 Garnier, Josselin 1 Giraud, Luc 1 Hansen, Per Christian 1 Harness, Yuval 1 Huang, Daniel Z. 1 Izaguirre, Jesús A. 1 Kesari, Haneesh 1 Kia, Amirali 1 Kim, Daejoong 1 Kitanidis, Peter K. 1 Klimeck, Gerhard 1 Klockiewicz, Bazyli 1 Kuhl, Ellen 1 LeGresley, Patrick 1 Li, Judith Yue 1 Mahoney, Michael W. 1 Papanicolaou, George C. 1 Petersen, Dan Erik 1 Schanz, Martin 1 Skelboe, Stig 1 Sørensen, Hans Henrik B. 1 Stokbro, Kurt 1 Wong, Jonathan 1 Wu, Weimiao 1 Wu, Wenjin 1 Wu, Ying
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#### Serials

 16 Journal of Computational Physics 8 SIAM Journal on Scientific Computing 5 International Journal for Numerical Methods in Engineering 4 SIAM Journal on Matrix Analysis and Applications 3 Journal of Fluid Mechanics 3 Physics of Fluids 2 Computer Methods in Applied Mechanics and Engineering 1 Wave Motion 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Geosciences 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
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#### Fields

 40 Numerical analysis (65-XX) 8 Optics, electromagnetic theory (78-XX) 7 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 619 times in 416 Documents Cited by Year
The fast multipole method: Numerical implementation. Zbl 0974.78012
Darve, Eric
2000
The black-box fast multipole method. Zbl 1177.65009
Fong, William; Darve, Eric
2009
The fast multipole method. I: Error analysis and asymptotic complexity. Zbl 0974.65033
Darve, Eric
2000
An $$\mathcal O(N\log N)$$ fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation. Zbl 1292.65030
Ambikasaran, Sivaram; Darve, Eric
2013
A smooth particle-mesh ewald algorithm for Stokes suspension simulations: the sedimentation of fibers. Zbl 1187.76458
Saintillan, David; Darve, Eric; Shaqfeh, Eric S. G.
2005
Large calculation of the flow over a hypersonic vehicle using a GPU. Zbl 1218.76035
Elsen, Erich; LeGresley, Patrick; Darve, Eric
2008
Assembly of finite element methods on graphics processors. Zbl 1217.80146
Cecka, Cris; Lew, Adrian J.; Darve, E.
2011
A fast block low-rank dense solver with applications to finite-element matrices. Zbl 1349.65595
Aminfar, AmirHossein; Ambikasaran, Sivaram; Darve, Eric
2016
Efficient fast multipole method for low-frequency scattering. Zbl 1073.65133
Darve, Eric; Havé, Pascal
2004
A fast multipole method for Maxwell equations stable at all frequencies. Zbl 1079.78030
Darve, Eric; Havé, Pascal
2004
Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. Zbl 1239.65002
Messner, Matthias; Schanz, Martin; Darve, Eric
2012
The inverse fast multipole method: using a fast approximate direct dolver as a preconditioner for dense linear systems. Zbl 1365.65068
Coulier, Pieter; Pouransari, Hadi; Darve, Eric
2017
The growth of concentration fluctuations in dilute dispersions of orientable and deformable particles under sedimentation. Zbl 1134.76731
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. Zbl 1177.76465
Saintillan, David; Darve, Eric; Shaqfeh, Eric S. G.
2006
Computing entries of the inverse of a sparse matrix using the FIND algorithm. Zbl 1214.82124
Li, S.; Ahmed, S.; Klimeck, G.; Darve, E.
2008
Fast hierarchical solvers for sparse matrices using extended sparsification and low-rank approximation. Zbl 1365.65072
Pouransari, Hadi; Coulier, Pieter; Darve, Eric
2017
A fast, memory efficient and robust sparse preconditioner based on a multifrontal approach with applications to finite-element matrices. Zbl 1352.65451
Aminfar, Amirhossein; Darve, Eric
2016
Stability of asynchronous variational integrators. Zbl 1153.65120
Fong, William; Darve, Eric; Lew, Adrian
2008
The effect of stratification on the wave number selection in the instability of sedimenting spheroids. Zbl 1146.76519
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Stabilization of a suspension of sedimenting rods by induced-charge electrophoresis. Zbl 1146.76520
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Effect of flexibility on the shear-induced migration of short-chain polymers in parabolic channel flow. Zbl 1094.76006
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Large-scale stochastic linear inversion using hierarchical matrices. Illustrated with an application to crosswell tomography in seismic imaging. Zbl 1395.62050
Ambikasaran, Sivaram; Li, Judith Yue; Kitanidis, Peter K.; Darve, Eric
2013
A hybrid method for the parallel computation of Green’s functions. Zbl 1280.82010
Petersen, Dan Erik; Li, Song; Stokbro, Kurt; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Darve, Eric
2009
Task-based FMM for multicore architectures. Zbl 1323.78017
Agullo, Emmanuel; Bramas, Bérenger; Coulaud, Olivier; Darve, Eric; Messner, Matthias; Takahashi, Toru
2014
Optimizing the adaptive fast multipole method for fractal sets. Zbl 1316.28010
2015
Extension and optimization of the FIND algorithm: Computing Green’s and less-than Green’s functions. Zbl 1239.65027
Li, S.; Darve, E.
2012
An algebraic sparsified nested dissection algorithm using low-rank approximations. Zbl 1441.65048
Cambier, Léopold; Chen, Chao; Boman, Erik G.; Rajamanickam, Sivasankaran; Tuminaro, Raymond S.; Darve, Eric
2020
Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain. Zbl 1442.65411
Xu, Kailai; Darve, Eric
2020
Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method. Zbl 1376.78010
Takahashi, Toru; Coulier, Pieter; Darve, Eric
2017
Fourier-based fast multipole method for the Helmholtz equation. Zbl 1266.65220
Cecka, Cris; Darve, Eric
2013
Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units. Zbl 1242.68364
Takahashi, Toru; Cecka, Cris; Fong, William; Darve, Eric
2012
The fast multipole method on parallel clusters, multicore processors, and graphics processing units. Zbl 1217.65242
Darve, Eric; Cecka, Cris; Takahashi, Toru
2011
Fast-multipole method: A mathematical study. Zbl 0889.65116
Darve, Eric
1997
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
2020
On the numerical rank of radial basis function kernels in high dimensions. Zbl 1455.65068
Wang, Ruoxi; Li, Yingzhou; Darve, Eric
2018
A new sparse matrix vector multiplication graphics processing unit algorithm designed for finite element problems. Zbl 1352.65134
Wong, J.; Kuhl, E.; Darve, E.
2015
Analysis of the accelerated weighted ensemble methodology. Zbl 1308.82008
Costaouec, Ronan; Feng, Haoyun; Izaguirre, Jesús; Darve, Eric
2013
A fast algorithm for sparse matrix computations related to inversion. Zbl 1297.65030
Li, S.; Wu, W.; Darve, E.
2013
Fast low-rank kernel matrix factorization using skeletonized interpolation. Zbl 07099308
Cambier, Léopold; Darve, Eric
2019
Low-rank factorizations in data sparse hierarchical algorithms for preconditioning symmetric positive definite matrices. Zbl 1453.65061
Agullo, Emmanuel; Darve, Eric; Giraud, Luc; Harness, Yuval
2018
Efficient mesh deformation based on radial basis function interpolation by means of the inverse fast multipole method. Zbl 1439.65211
Coulier, Pieter; Darve, Eric
2016
Cauchy fast multipole method for general analytic kernels. Zbl 1296.65174
Létourneau, Pierre-David; Cecka, Cris; Darve, Eric
2014
Time integrators based on approximate discontinuous Hamiltonians. Zbl 1242.70002
Dharmaraja, Sohan; Kesari, Haneesh; Darve, Eric; Lew, Adrian J.
2012
Fast electrostatic force calculation on parallel computer clusters. Zbl 1148.78004
Kia, Amirali; Kim, Daejoong; Darve, Eric
2008
An algebraic sparsified nested dissection algorithm using low-rank approximations. Zbl 1441.65048
Cambier, Léopold; Chen, Chao; Boman, Erik G.; Rajamanickam, Sivasankaran; Tuminaro, Raymond S.; Darve, Eric
2020
Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain. Zbl 1442.65411
Xu, Kailai; Darve, Eric
2020
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
2020
Fast low-rank kernel matrix factorization using skeletonized interpolation. Zbl 07099308
Cambier, Léopold; Darve, Eric
2019
On the numerical rank of radial basis function kernels in high dimensions. Zbl 1455.65068
Wang, Ruoxi; Li, Yingzhou; Darve, Eric
2018
Low-rank factorizations in data sparse hierarchical algorithms for preconditioning symmetric positive definite matrices. Zbl 1453.65061
Agullo, Emmanuel; Darve, Eric; Giraud, Luc; Harness, Yuval
2018
The inverse fast multipole method: using a fast approximate direct dolver as a preconditioner for dense linear systems. Zbl 1365.65068
Coulier, Pieter; Pouransari, Hadi; Darve, Eric
2017
Fast hierarchical solvers for sparse matrices using extended sparsification and low-rank approximation. Zbl 1365.65072
Pouransari, Hadi; Coulier, Pieter; Darve, Eric
2017
Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method. Zbl 1376.78010
Takahashi, Toru; Coulier, Pieter; Darve, Eric
2017
A fast block low-rank dense solver with applications to finite-element matrices. Zbl 1349.65595
Aminfar, AmirHossein; Ambikasaran, Sivaram; Darve, Eric
2016
A fast, memory efficient and robust sparse preconditioner based on a multifrontal approach with applications to finite-element matrices. Zbl 1352.65451
Aminfar, Amirhossein; Darve, Eric
2016
Efficient mesh deformation based on radial basis function interpolation by means of the inverse fast multipole method. Zbl 1439.65211
Coulier, Pieter; Darve, Eric
2016
Optimizing the adaptive fast multipole method for fractal sets. Zbl 1316.28010
2015
A new sparse matrix vector multiplication graphics processing unit algorithm designed for finite element problems. Zbl 1352.65134
Wong, J.; Kuhl, E.; Darve, E.
2015
Task-based FMM for multicore architectures. Zbl 1323.78017
Agullo, Emmanuel; Bramas, Bérenger; Coulaud, Olivier; Darve, Eric; Messner, Matthias; Takahashi, Toru
2014
Cauchy fast multipole method for general analytic kernels. Zbl 1296.65174
Létourneau, Pierre-David; Cecka, Cris; Darve, Eric
2014
An $$\mathcal O(N\log N)$$ fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation. Zbl 1292.65030
Ambikasaran, Sivaram; Darve, Eric
2013
Large-scale stochastic linear inversion using hierarchical matrices. Illustrated with an application to crosswell tomography in seismic imaging. Zbl 1395.62050
Ambikasaran, Sivaram; Li, Judith Yue; Kitanidis, Peter K.; Darve, Eric
2013
Fourier-based fast multipole method for the Helmholtz equation. Zbl 1266.65220
Cecka, Cris; Darve, Eric
2013
Analysis of the accelerated weighted ensemble methodology. Zbl 1308.82008
Costaouec, Ronan; Feng, Haoyun; Izaguirre, Jesús; Darve, Eric
2013
A fast algorithm for sparse matrix computations related to inversion. Zbl 1297.65030
Li, S.; Wu, W.; Darve, E.
2013
Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. Zbl 1239.65002
Messner, Matthias; Schanz, Martin; Darve, Eric
2012
Extension and optimization of the FIND algorithm: Computing Green’s and less-than Green’s functions. Zbl 1239.65027
Li, S.; Darve, E.
2012
Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units. Zbl 1242.68364
Takahashi, Toru; Cecka, Cris; Fong, William; Darve, Eric
2012
Time integrators based on approximate discontinuous Hamiltonians. Zbl 1242.70002
Dharmaraja, Sohan; Kesari, Haneesh; Darve, Eric; Lew, Adrian J.
2012
Assembly of finite element methods on graphics processors. Zbl 1217.80146
Cecka, Cris; Lew, Adrian J.; Darve, E.
2011
The fast multipole method on parallel clusters, multicore processors, and graphics processing units. Zbl 1217.65242
Darve, Eric; Cecka, Cris; Takahashi, Toru
2011
The black-box fast multipole method. Zbl 1177.65009
Fong, William; Darve, Eric
2009
A hybrid method for the parallel computation of Green’s functions. Zbl 1280.82010
Petersen, Dan Erik; Li, Song; Stokbro, Kurt; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Darve, Eric
2009
Large calculation of the flow over a hypersonic vehicle using a GPU. Zbl 1218.76035
Elsen, Erich; LeGresley, Patrick; Darve, Eric
2008
Computing entries of the inverse of a sparse matrix using the FIND algorithm. Zbl 1214.82124
Li, S.; Ahmed, S.; Klimeck, G.; Darve, E.
2008
Stability of asynchronous variational integrators. Zbl 1153.65120
Fong, William; Darve, Eric; Lew, Adrian
2008
Fast electrostatic force calculation on parallel computer clusters. Zbl 1148.78004
Kia, Amirali; Kim, Daejoong; Darve, Eric
2008
The growth of concentration fluctuations in dilute dispersions of orientable and deformable particles under sedimentation. Zbl 1134.76731
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. Zbl 1177.76465
Saintillan, David; Darve, Eric; Shaqfeh, Eric S. G.
2006
The effect of stratification on the wave number selection in the instability of sedimenting spheroids. Zbl 1146.76519
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Stabilization of a suspension of sedimenting rods by induced-charge electrophoresis. Zbl 1146.76520
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
Effect of flexibility on the shear-induced migration of short-chain polymers in parabolic channel flow. Zbl 1094.76006
Saintillan, David; Shaqfeh, Eric S. G.; Darve, Eric
2006
A smooth particle-mesh ewald algorithm for Stokes suspension simulations: the sedimentation of fibers. Zbl 1187.76458
Saintillan, David; Darve, Eric; Shaqfeh, Eric S. G.
2005
Efficient fast multipole method for low-frequency scattering. Zbl 1073.65133
Darve, Eric; Havé, Pascal
2004
A fast multipole method for Maxwell equations stable at all frequencies. Zbl 1079.78030
Darve, Eric; Havé, Pascal
2004
The fast multipole method: Numerical implementation. Zbl 0974.78012
Darve, Eric
2000
The fast multipole method. I: Error analysis and asymptotic complexity. Zbl 0974.65033
Darve, Eric
2000
Fast-multipole method: A mathematical study. Zbl 0889.65116
Darve, Eric
1997
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#### Cited by 861 Authors

 29 Darve, Eric 12 Ying, Lexing 9 Chaillat, Stéphanie 9 Greengard, Leslie F. 8 Tornberg, Anna-Karin 6 Saintillan, David 6 Shaqfeh, Eric S. G. 6 Takahashi, Toru 6 Yariv, Ehud 5 Antoine, Xavier 5 Biros, George 5 Bonnet, Marc 5 Darrigrand, Eric 5 Ho, Kenneth L. 5 Keyes, David Elliot 5 Shelley, Michael J. 4 Ambikasaran, Sivaram 4 Butler, Jason E. 4 Cai, Wei 4 Collino, Francis 4 Gillman, Adrianna 4 Huang, Jingfang 4 Jiang, Shidong 4 Liu, Yijun 4 Monk, Peter B. 4 Saad, Yousef 4 Xia, Jianlin 3 Balakrishnan, Venkataramanan 3 Banaś, Krzysztof 3 Bogaert, Ignace 3 Börm, Steffen 3 Cambier, Léopold 3 Cauley, Stephen 3 Chen, Chao 3 Chen, Haibo 3 Chow, Edmond G. W. 3 Coulier, Pieter 3 Darbas, Marion 3 Dargush, Gary F. 3 Freund, Jonathan B. 3 Gimbutas, Zydrunas 3 Giraud, Luc 3 Grigor’ev, Michael M. 3 Karatarakis, A. 3 Keaveny, Eric E. 3 Kressner, Daniel 3 Lew, Adrian J. 3 Li, Song 3 Li, Xiaoye Sherry 3 Li, Yingzhou 3 Miloh, Touvia 3 Minden, Victor 3 Olyslager, Femke 3 Papadrakakis, Manolis 3 Pouransari, Hadi 3 Rokhlin, Vladimir 3 Rouet, François-Henry 3 Schanz, Martin 3 Strain, John A. 3 Subramanian, Ganesh 3 Trevelyan, Jon 3 Turkiyyah, George M. 3 Veerapaneni, Shravan Kumar 3 Wu, Haijun 3 Xi, Yuanzhe 3 Xing, Xin 3 Zheng, Changjun 2 Agullo, Emmanuel 2 Amestoy, Patrick R. 2 Aminfar, AmirHossein 2 Aristoff, David 2 Asouti, V. G. 2 Barnett, Alex H. 2 Bettess, Peter 2 Bhattacharya, Sukalyan 2 Boman, Erik G. 2 Borges, Carlos C. H. 2 Börst, Christina 2 Bucher, Christian G. 2 Buttari, Alfredo 2 Camelli, Fernando F. 2 Cao, Yanchuang 2 Carayol, Quentin 2 Carpentieri, Bruno 2 Cecka, Cris 2 Chávez, Gustavo 2 Chen, Ching-Shyang 2 Chen, Duan 2 Chen, Hongquan 2 Chen, Leilei 2 Cheng, Hongwei 2 Chew, Weng Cho 2 Chniti, Chokri 2 Chung, Julianne M. 2 Claeys, Xavier 2 Corona, Eduardo 2 Corrigan, Andrew 2 Cortez, Ricardo 2 Dahlkild, Anders A. 2 de Hoop, Maarten V. ...and 761 more Authors
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#### Cited in 71 Serials

 91 Journal of Computational Physics 31 Computer Methods in Applied Mechanics and Engineering 29 Journal of Fluid Mechanics 27 SIAM Journal on Scientific Computing 22 Engineering Analysis with Boundary Elements 20 International Journal for Numerical Methods in Engineering 18 Computers and Fluids 16 SIAM Journal on Matrix Analysis and Applications 15 Physics of Fluids 11 Journal of Computational and Applied Mathematics 9 Computers & Mathematics with Applications 7 Journal of Scientific Computing 7 Multiscale Modeling & Simulation 6 Computational Mechanics 5 Computer Physics Communications 5 International Journal for Numerical Methods in Fluids 5 Numerical Linear Algebra with Applications 4 Applied Numerical Mathematics 4 Journal of Computational Acoustics 4 Research in the Mathematical Sciences 3 ACM Transactions on Mathematical Software 3 Numerische Mathematik 3 Numerical Algorithms 3 Advances in Computational Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Computational Methods 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications on Pure and Applied Mathematics 2 Inverse Problems 2 Wave Motion 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Computing 2 Communications in Numerical Methods in Engineering 2 Applied and Computational Harmonic Analysis 2 Computing and Visualization in Science 2 Computational Geosciences 2 Acta Numerica 1 Modern Physics Letters B 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 BIT 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 COMPEL 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Journal of Mathematical Sciences (New York) 1 Mathematical Problems in Engineering 1 Multibody System Dynamics 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Waves in Random and Complex Media 1 Acta Mechanica Sinica 1 SIAM Journal on Imaging Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computational and Mathematical Biophysics 1 SN Partial Differential Equations and Applications
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#### Cited in 33 Fields

 274 Numerical analysis (65-XX) 149 Fluid mechanics (76-XX) 67 Partial differential equations (35-XX) 65 Optics, electromagnetic theory (78-XX) 63 Mechanics of deformable solids (74-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Computer science (68-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Biology and other natural sciences (92-XX) 12 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 5 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)