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Antoine, Xavier

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Author ID: antoine.xavier Recent zbMATH articles by "Antoine, Xavier"
Published as: Antoine, X.; Antoine, Xavier
External Links: MGP · Wikidata · ORCID
Documents Indexed: 77 Publications since 1998
Reviewing Activity: 97 Reviews

Publications by Year

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60 Publications have been cited 861 times in 417 Documents Cited by Year
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178
Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim
85
2008
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
74
2013
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
61
1999
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
49
2003
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent
38
2004
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
37
2012
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
36
2005
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
30
2006
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
29
2007
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
25
2006
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. Zbl 1349.82027
Antoine, Xavier; Duboscq, Romain
23
2014
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
22
2001
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
21
2009
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
21
2001
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
19
2014
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
17
2011
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
14
2008
Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356
Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion
14
2005
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
13
2015
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096
Antoine, Xavier; Besse, Christophe; Klein, Pauline
13
2012
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
12
2001
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
11
2016
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066
El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C.
11
2015
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
11
2014
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651
Antoine, Xavier; Besse, Christophe; Klein, Pauline
11
2013
Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051
Kechroud, R.; Antoine, X.; Soulaïmani, A.
11
2005
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
10
2015
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
10
2014
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
10
2004
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
9
2009
Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
8
2015
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
8
2008
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
7
2012
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin
6
2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
5
2017
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
5
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
5
2016
\(\mu\)-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478
Thierry, Bertrand; Antoine, Xavier; Chniti, Chokri; Alzubaidi, Hasan
5
2015
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
5
2008
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
5
2005
High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080
Antoine, X.; Barucq, H.; Vernhet, L.
5
2001
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
4
2017
GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477
Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.
4
2016
Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054
Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B.
4
2008
On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466
Antoine, X.; Barucq, H.
4
2005
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
4
2003
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
3
2018
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277
Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio
3
2016
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100
Thierry, Bertrand; Antoine, Xavier
3
2013
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
3
2010
An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
3
2005
An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body. Zbl 1098.76566
Antoine, X.
3
2002
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054
Antoine, Xavier; Thierry, Bertrand
2
2013
Absorbing boundary conditions for solving \(N\)-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2
2011
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025
Kechroud, R.; Soulaimani, A.; Antoine, X.
2
2009
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems. I: General approach and low-order models. Zbl 1161.65082
Antoine, Xavier; Geuzaine, Christophe
2
2009
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
1
2009
Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081
Antoine, X.; Barucq, H.; Vernhet, L.
1
2000
A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170
Antoine, X.; Barucq, H.
1
1999
A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014
Antoine, Xavier
1
1998
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
3
2018
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin
6
2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
5
2017
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
4
2017
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
11
2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
5
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
5
2016
GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477
Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.
4
2016
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277
Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio
3
2016
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
13
2015
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066
El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C.
11
2015
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
10
2015
Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
8
2015
\(\mu\)-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478
Thierry, Bertrand; Antoine, Xavier; Chniti, Chokri; Alzubaidi, Hasan
5
2015
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. Zbl 1349.82027
Antoine, Xavier; Duboscq, Romain
23
2014
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
19
2014
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
11
2014
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
10
2014
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
74
2013
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651
Antoine, Xavier; Besse, Christophe; Klein, Pauline
11
2013
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100
Thierry, Bertrand; Antoine, Xavier
3
2013
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054
Antoine, Xavier; Thierry, Bertrand
2
2013
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
37
2012
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096
Antoine, Xavier; Besse, Christophe; Klein, Pauline
13
2012
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
7
2012
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
17
2011
Absorbing boundary conditions for solving \(N\)-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2
2011
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
3
2010
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
21
2009
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
9
2009
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025
Kechroud, R.; Soulaimani, A.; Antoine, X.
2
2009
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems. I: General approach and low-order models. Zbl 1161.65082
Antoine, Xavier; Geuzaine, Christophe
2
2009
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
1
2009
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178
Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim
85
2008
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
14
2008
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
8
2008
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
5
2008
Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054
Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B.
4
2008
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
29
2007
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
30
2006
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
25
2006
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
36
2005
Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356
Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion
14
2005
Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051
Kechroud, R.; Antoine, X.; Soulaïmani, A.
11
2005
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
5
2005
On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466
Antoine, X.; Barucq, H.
4
2005
An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
3
2005
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent
38
2004
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
10
2004
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
49
2003
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
4
2003
An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body. Zbl 1098.76566
Antoine, X.
3
2002
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
22
2001
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
21
2001
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
12
2001
High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080
Antoine, X.; Barucq, H.; Vernhet, L.
5
2001
Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081
Antoine, X.; Barucq, H.; Vernhet, L.
1
2000
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
61
1999
A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170
Antoine, X.; Barucq, H.
1
1999
A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014
Antoine, Xavier
1
1998
all top 5

Cited by 596 Authors

43 Antoine, Xavier
15 Barucq, Hélène
14 Besse, Christophe
13 Lorin, Emmanuel
12 Djellouli, Rabia
12 Geuzaine, Christophe A.
12 Zheng, Chunxiong
11 Bao, Weizhu
9 Darbas, Marion
8 Cai, Yongyong
8 Tang, Qinglin
8 Zhang, Jiwei
7 Boubendir, Yassine
7 Dehghan Takht Fooladi, Mehdi
7 Turc, Catalin
7 Zlotnik, Alexander A.
6 Gander, Martin Jakob
6 Thierry, Bertrand
6 Wang, Tingchun
5 Han, Houde
5 Petrov, P. S.
5 Wang, Pengde
5 Wu, Xiaonan
4 Abbaszadeh, Mostafa
4 Ashyralyev, Allaberen
4 Bandrauk, André D.
4 Bruno, Oscar P.
4 Chaillat, Stéphanie
4 Chniti, Chokri
4 Claeys, Xavier
4 Collino, Francis
4 Dolean, Victorita
4 Duboscq, Romain
4 Ehrhardt, Matthias
4 Farhat, Charbel H.
4 Huang, Chengming
4 Joly, Patrick
4 Le Louër, Frédérique
4 Levadoux, David P.
4 Pham, Ha Thanh
4 Tang, Shaoqiang
4 Vaibhav, Vishal
4 Wang, Jilu
4 Zhang, Hui
4 Zhang, Rongpei
3 Abounouh, Mostafa
3 Acosta, Sebastian
3 Al Moatassime, Hassan
3 Arnold, Anton
3 Ben Abdallah, Naoufel
3 Birk, Carolin
3 Cassier, Maxence
3 Chabassier, Juliette
3 Čiegis, Raimondas
3 Diaz, Julien
3 Duruflé, Marc
3 El Bouajaji, Mohamed
3 Guddati, Murthy N.
3 Harari, Isaac
3 He, Dongdong
3 Henning, Patrick
3 Jiang, Chaolong
3 Jin, Jicheng
3 Klein, Pauline
3 Lakoba, Taras I.
3 Li, Xianggui
3 Liang, Xiao
3 Liu, Wen-Jie
3 Noble, Pascal
3 Pan, Kejia
3 Pang, Gang
3 Pinaud, Olivier
3 Ruan, Xinran
3 Saint-Guirons, A.-G.
3 Sirma, Ali
3 Song, Chongmin
3 Spence, Euan A.
3 Sun, Zhizhong
3 Szeftel, Jérémie
3 Tezaur, Radek
3 Turkel, Eli L.
3 Vion, Alexandre
3 Wang, Hanquan
3 Wang, Yushun
3 Wu, Boying
3 Xing, Feng
3 Yang, Xu
3 Yin, Jia
3 Yu, Xijun
3 Zhang, Yong
2 Alazard, Thomas
2 Alonso-Mallo, Isaías
2 Alzubaidi, Hasan
2 Bader, Philipp
2 Bhatt, Harish P.
2 Bian, Lei
2 Bonnet, Marc
2 Chelkowski, Szczepan
2 Chrifi, Abderrazak
2 Coulombel, Jean-François
...and 496 more Authors
all top 5

Cited in 91 Serials

72 Journal of Computational Physics
24 Computers & Mathematics with Applications
23 Journal of Computational and Applied Mathematics
23 Applied Numerical Mathematics
16 Journal of Scientific Computing
15 Computer Methods in Applied Mechanics and Engineering
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Wave Motion
12 Applied Mathematics and Computation
10 Numerische Mathematik
10 SIAM Journal on Numerical Analysis
10 SIAM Journal on Scientific Computing
8 Journal of Mathematical Analysis and Applications
8 International Journal for Numerical Methods in Engineering
8 Engineering Analysis with Boundary Elements
7 Computer Physics Communications
7 Numerical Methods for Partial Differential Equations
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Numerical Algorithms
5 Mathematics and Computers in Simulation
5 Applied Mathematics Letters
4 International Journal of Computer Mathematics
4 SIAM Journal on Applied Mathematics
4 Advances in Computational Mathematics
3 Mathematical Methods in the Applied Sciences
3 Mathematics of Computation
3 Applied Mathematical Modelling
3 Mathematical Problems in Engineering
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Kinetic and Related Models
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Inverse Problems
2 Journal of Mathematical Physics
2 Physics Letters. A
2 Physica D
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Review
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Advances in Difference Equations
2 Journal of Computational Acoustics
2 Acta Mechanica Sinica
2 SIAM Journal on Imaging Sciences
2 Science China. Mathematics
2 Communications on Applied Mathematics and Computation
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal of Engineering Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 BIT
1 Calcolo
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 Journal of Elasticity
1 SIAM Journal on Mathematical Analysis
1 Advances in Engineering Software
1 Computational and Applied Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Discrete and Continuous Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 The ANZIAM Journal
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Computational Methods
1 Acta Numerica
1 Science in China. Series G
1 Boundary Value Problems
1 Frontiers of Mathematics in China
1 Journal of Computational Dynamics
1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
1 EMS Surveys in Mathematical Sciences
1 Journal of Function Spaces
1 Research in the Mathematical Sciences
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics
1 SN Partial Differential Equations and Applications
all top 5

Cited in 36 Fields

322 Numerical analysis (65-XX)
274 Partial differential equations (35-XX)
66 Optics, electromagnetic theory (78-XX)
61 Fluid mechanics (76-XX)
47 Quantum theory (81-XX)
37 Statistical mechanics, structure of matter (82-XX)
33 Mechanics of deformable solids (74-XX)
11 Integral equations (45-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 Operator theory (47-XX)
5 Special functions (33-XX)
5 Functional analysis (46-XX)
4 Real functions (26-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operations research, mathematical programming (90-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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