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Author ID: abgrall.remi Recent zbMATH articles by "Abgrall, Rémi"
Published as: Abgrall, Rémi; Abgrall, R.; Abgrall, Remi
Homepage: https://www.math.uzh.ch/people?key1=8882&key2=2024
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all top 5

Co-Authors

36 single-authored
17 Ricchiuto, Mario
11 Congedo, Pietro Marco
11 Tokareva, Svetlana A.
9 Öffner, Philipp
8 Bacigaluppi, Paola
6 Deconinck, Herman
6 Maire, Pierre-Henri
6 Saurel, Richard
6 Torlo, Davide
5 Dobrzynski, Cécile
5 Geraci, Gianluca
5 Karni, Smadar
5 le Mélédo, Elise
5 Shu, Chi-Wang
4 Beaugendre, Héloïse
4 Mezine, Mohamed
4 Nkonga, Boniface
4 Perrier, Vincent
4 Re, Barbara
4 Sonar, Thomas
3 Barsukow, Wasilij
3 Lin, Jianfang
3 Mishra, Siddhartha
3 Rodio, Maria Giovanna
3 Vilar, François
2 Amsallem, David
2 Arpaia, Luca
2 Augoula, Steeve
2 Barth, Timothy J.
2 Baurin, G.
2 Billet, Germain
2 Breil, Jérôme
2 Colin, Thierry
2 Dumbser, Michael
2 Guillard, Hervé
2 Hallo, Ludovic
2 Han Veiga, Maria
2 Iaccarino, Gianluca
2 Jacq, Pascal
2 Krust, Arnaud
2 Kumar, Harish
2 Larat, Adam
2 Liu, Yongle
2 Loubère, Raphaël
2 Lukáčová-Medviďová, Mária
2 Michel, Sixtine
2 Nassajian Mojarrad, Fatemeh
2 Nordström, Jan
2 Ovadia, Jean
2 Papin, Mikael
2 Petrella, Marco
2 Qiu, Jianxian
2 Ranocha, Hendrik
2 Tang, Kunkun
2 Villedieu, Nadège
2 Wissocq, Gauthier
2 Xiao, Feng
1 Adams, Nikolaus A.
1 Aregba-Driollet, Denise
1 Balsara, Dinshaw S.
1 Basdevant, Claude
1 Bassi, Francesco
1 Berthon, Christophe
1 Busto, Saray
1 Caraeni, Doru Adrian
1 Carlier, Julien
1 Carney, Sean P.
1 Cary, Andrew W.
1 Castro, Manuel J.
1 Chacón, Luis
1 Cheng, Lidong
1 Crisonovan, Roxana
1 Crisovan, R.
1 Dallet, Sophie
1 De Sterck, Hans
1 Dobeš, Jiří
1 Dobryzynski, Cécile
1 Fezoui, Loula
1 Fidkowski, Krzysztof J.
1 Friedrich, Oliver
1 Garavello, Mauro
1 Gozalo, L.
1 Guardone, Alberto
1 Hajduk, Hennes
1 Harten, Ami
1 Hartmann, Ralf
1 Hillewaert, Koen
1 Hundsdorfer, Willem H.
1 Jennings, G. I.
1 Klingenberg, Christian
1 Kolev, Tzanio V.
1 Koren, Barry
1 Kroll, Norbert
1 Kumar, Ronit
1 Kuzmin, Dmitri
1 Lanteri, Stéphane
1 Lipnikov, Konstantin N.
1 Marpeau, Fabien
1 Massoni, Jacques
1 May, Georg
...and 35 more Co-Authors
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Serials

32 Journal of Computational Physics
16 Journal of Scientific Computing
13 Computers and Fluids
10 SIAM Journal on Scientific Computing
8 International Journal for Numerical Methods in Fluids
5 Computer Methods in Applied Mechanics and Engineering
5 Communications in Computational Physics
5 Communications on Applied Mathematics and Computation
4 Comptes Rendus de l’Académie des Sciences. Série I
3 Journal of Computational and Applied Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Applied Mathematics and Computation
2 SIAM Journal on Numerical Analysis
2 La Recherche Aérospatiale
2 Oberwolfach Reports
2 Handbook of Numerical Analysis
2 Journal of Computational Physics: X
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Fluid Mechanics
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. B. Fluids
1 International Journal of Applied Mathematics and Computer Science
1 Computational Methods in Applied Mathematics
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Multiscale Modeling & Simulation
1 Communications in Mathematical Sciences
1 Lecture Notes in Computational Science and Engineering
1 Series in Applied Mathematics (Paris)
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

133 Publications have been cited 3,954 times in 2,059 Documents Cited by Year
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
384
1999
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
303
1996
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
231
2013
Computations of compressible multifluids. Zbl 1033.76029
Abgrall, Rémi; Karni, Smadar
205
2001
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. Zbl 0822.65062
Abgrall, R.
185
1994
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
183
2007
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
175
1999
Discrete equations for physical and numerical compressible multiphase mixtures. Zbl 1072.76594
Abgrall, Rémi; Saurel, Richard
114
2003
Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060
Saurel, Richard; Petitpas, Fabien; Abgrall, Remi
106
2008
A comment on the computation of non-conservative products. Zbl 1188.65134
Abgrall, Rémi; Karni, Smadar
90
2010
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
88
2003
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
83
2014
Toward the ultimate conservative scheme: Following the quest. Zbl 0988.76055
Abgrall, R.
78
2001
Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes. Zbl 1216.76051
Ricchiuto, M.; Abgrall, R.; Deconinck, H.
71
2007
Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes. Zbl 0870.65116
Abgrall, R.
64
1996
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. Zbl 1349.76278
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
64
2014
Residual distribution schemes: current status and future trends. Zbl 1177.76205
Abgrall, Rémi
59
2006
Essentially non-oscillatory residual distribution schemes for hyperbolic problems. Zbl 1089.65083
Abgrall, R.
58
2006
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. Zbl 1291.74186
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Loubère, Raphaël; Rebourcet, Bernard
58
2013
Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. Zbl 1127.76338
Abgrall, Rémi; Mezine, Mohamed
58
2003
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
Abgrall, Rémi; Karni, Smadar
56
2009
Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Zbl 1343.76017
Abgrall, R.; Larat, A.; Ricchiuto, M.
50
2011
Some models and Eulerian methods for interface problems between compressible fluids with heat transfer. (Proposition de méthodes et modèles eulériens pour les problèmes à interfaces entre fluides compressible en présence de transfert de chaleur.) Zbl 1121.76378
Massoni, J.; Saurel, R.; Nkonga, B.; Abgrall, R.
47
2002
Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133
Ricchiuto, M.; Abgrall, R.
44
2010
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442
Abgrall, R.
44
2018
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
40
2016
Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. Zbl 1067.65505
Abgrall, Rémi; Mezine, Mohamed
38
2004
Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
36
2020
Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics. Zbl 1433.76093
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
34
2011
High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242
Abgrall, R.
33
2017
High order numerical discretization for Hamilton-Jacobi equations on triangular meshes. Zbl 1077.65506
Augoula, Steeve; Abgrall, Rémi
31
2000
A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277
Abgrall, R.; Bacigaluppi, P.; Tokareva, S.
30
2018
A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. Zbl 1067.76591
Loubère, R.; Ovadia, J.; Abgrall, R.
29
2004
An adaptive shock-capturing algorithm for solving unsteady reactive flows. Zbl 1033.76031
Billet, G.; Abgrall, R.
24
2003
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
24
2017
Residual distribution schemes for conservation laws via adaptive quadrature. Zbl 1037.35042
Abgrall, Rémi; Barth, Timothy
24
2002
Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations. Zbl 1351.76045
Abgrall, R.; De Santis, D.
23
2015
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. Zbl 07517718
Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik
23
2022
A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114
Abgrall, Remi
22
2012
Approximation of the genuinely multidimensional Riemann problem for the Euler equations by a Roe type method. I: The linearisation. (Approximation du problème de Riemann vraiment multidimensionnel des équations d’Euler par une méthode de type Roe. I: La linéarisation.) Zbl 0813.76074
Abgrall, Rémi
21
1994
High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. Zbl 1297.65119
Abgrall, R.; De Santis, D.; Ricchiuto, M.
21
2014
On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103
Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H.
20
2008
An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. Zbl 1349.76580
Abgrall, R.; Beaugendre, H.; Dobrzynski, C.
20
2014
Efficient numerical approximation of compressible multi-material flow for unstructured meshes. Zbl 1084.76543
Abgrall, R.; Nkonga, B.; Saurel, R.
20
2003
An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240
Abgrall, R.; Trefilík, J.
18
2010
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. Zbl 1442.65245
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
18
2019
Généralisation du schéma de Roe pour le calcul d’écoulements de mélanges de gaz a concentrations variables. (Generalization of the Roe scheme for computing flows of mixed gases at variable concentrations). Zbl 0662.76097
Abgrall, Rémi
17
1988
Approximation of the genuinely multidimensional Riemann problem for the Euler equations by a Roe type method. II: Solution of the approximated Riemann problem. (Approximation du problème de Riemann vraiment multidimensionnel des équations d’Euler par une méthode de type Roe. II: Solution du problème de Riemann approché.) Zbl 0813.76075
Abgrall, Rémi
17
1994
Multiresolution representation in unstructured meshes. Zbl 0933.65110
Abgrall, Rémi; Harten, Ami
16
1998
A Lax-Wendroff type theorem for residual schemes. Zbl 1035.76029
Abgrall, Rémi; Mer, Katherine; Nkonga, B.
16
2002
Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099
Abgrall, Rémi; Tokareva, Svetlana
16
2017
An extension of Roe’s upwind scheme to algebraic equilibrium real gas models. Zbl 0721.76061
Abgrall, Rémi
15
1991
Development of residual distribution schemes for the discontinuous Galerkin method: the scalar case with linear elements. Zbl 1364.65190
Abgrall, Remi; Shu, Chi-Wang
15
2009
A simple construction of very high order non-oscillatory compact schemes on unstructured meshes. Zbl 1242.76107
Abgrall, R.; Larat, A.; Ricchiuto, M.; Tavé, C.
14
2009
Asymptotic expansion of a multiscale numerical scheme for compressible multiphase flow. Zbl 1236.76053
Abgrall, Rémi; Perrier, Vincent
13
2006
On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062
Abgrall, Rémi; Sonar, Thomas
12
1997
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 1473.65183
Abgrall, Rémi; Torlo, Davide
12
2020
An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows. Zbl 0824.76052
Abgrall, R.
11
1994
Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation. Zbl 1349.62329
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
11
2016
Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
11
2015
Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058
Abgrall, R.; Marpeau, F.
10
2007
Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. Zbl 1134.76400
Abgrall, R.; Andrianov, N.; Mezine, M.
10
2005
A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004
Abgrall, R.; Congedo, P. M.; Geraci, G.
10
2014
A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Zbl 1338.65011
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca
10
2016
Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167
Abgrall, R.
10
2009
Some remarks about conservation for residual distribution schemes. Zbl 1398.76090
Abgrall, Rémi
10
2018
Numerical discretization of boundary conditions for first order Hamilton–Jacobi equations. Zbl 1058.65102
Abgrall, Rémi
9
2003
How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
9
2016
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098
Abgrall, Rémi; Busto, Saray; Dumbser, Michael
9
2023
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. Zbl 1404.65112
Crisovan, R.; Torlo, D.; Abgrall, R.; Tokareva, S.
9
2019
Numerical approximation of a compressible multiphase system. Zbl 1373.76154
Abgrall, Remi; Kumar, Harish
8
2014
Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157
Abgrall, Remi; Kumar, Harish
8
2014
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
8
2020
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0913.76054
Abgrall, Rémi
7
1997
Relaxation deferred correction methods and their applications to residual distribution schemes. Zbl 1501.65061
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp; Torlo, Davide
7
2022
Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
7
2023
A compact residual scheme for unsteady compressible flow problems. Zbl 1157.76367
Abgrall, Rémi; Mezine, Mohamed
6
2003
An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326
Abgrall, Rémi; Dallet, Sophie
6
2014
Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138
Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C.
6
2017
On a class of high order schemes for hyperbolic problems. Zbl 1377.65146
Abgrall, Rémi
6
2014
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
6
2017
Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1434.76062
Abgrall, Rémi; Lipnikov, Konstantin; Morgan, Nathaniel; Tokareva, Svetlana
6
2020
Multiresolution analysis on unstructured meshes: Application to CFD. Zbl 0925.76421
Abgrall, R.
5
1995
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
On third-order limiter functions for finite volume methods. Zbl 1356.65219
Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel
5
2016
THINC scaling method that bridges VOF and level set schemes. Zbl 07513864
Kumar, Ronit; Cheng, Lidong; Xiong, Yunong; Xie, Bin; Abgrall, Rémi; Xiao, Feng
5
2021
Error boundedness of correction procedure via reconstruction / flux reconstruction and the connection to residual distribution schemes. Zbl 1466.65113
Abgrall, Rémi; le Mélédo, Elise; Öffner, Philipp; Ranocha, Hendrik
5
2020
Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. Zbl 1368.76068
Abgrall, Rémi; Bacigaluppi, Paola
4
2017
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047
Arpaia, L.; Ricchiuto, M.; Abgrall, R.
4
2015
The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications. Zbl 1476.65202
Abgrall, Rémi
4
2020
Hyperbolic balance laws: residual distribution, local and global fluxes. Zbl 1513.76096
Abgrall, Rémi; Ricchiuto, Mario
4
2022
A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations. Zbl 1524.65305
Abgrall, R.
4
2023
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping. Zbl 1480.65268
Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi
4
2021
Discrete equation method (DEM) for the simulation of viscous, compressible, two-phase flows. Zbl 1391.76457
Abgrall, R.; Rodio, M. G.
4
2014
Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
4
2023
High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021
Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G.
4
2016
An adaptive, residual based, splitting approach for the penalized Navier Stokes equations. Zbl 1423.76267
Nouveau, L.; Beaugendre, H.; Dobrzynski, C.; Abgrall, R.; Ricchiuto, M.
4
2016
A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems. Zbl 1455.65218
Abgrall, R.; Dobrzynski, C.; Froehly, A.
4
2014
ENO approximations for compressible fluid dynamics. Zbl 0917.76060
Abgrall, R.; Lantéri, S.; Sonar, Thomas
3
1999
A scheme for compressible two-phase flows and interface problems. Zbl 1276.76045
Abgrall, R.; Papin, M.; Hallo, L.
3
2003
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098
Abgrall, Rémi; Busto, Saray; Dumbser, Michael
9
2023
Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
7
2023
A combination of residual distribution and the active flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations. Zbl 1524.65305
Abgrall, R.
4
2023
Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
4
2023
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123
Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp
3
2023
A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Zbl 07652785
Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana
3
2023
Neural network-based limiter with transfer learning. Zbl 1524.65699
Abgrall, Rémi; Han Veiga, Maria
3
2023
A hybrid finite element-finite volume method for conservation laws. Zbl 1511.76057
Abgrall, Rémi; Barsukow, Wasilij
1
2023
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. Zbl 07517718
Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik
23
2022
Relaxation deferred correction methods and their applications to residual distribution schemes. Zbl 1501.65061
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp; Torlo, Davide
7
2022
Hyperbolic balance laws: residual distribution, local and global fluxes. Zbl 1513.76096
Abgrall, Rémi; Ricchiuto, Mario
4
2022
Assessment of a non-conservative four-equation multiphase system with phase transition. Zbl 07444773
Bacigaluppi, Paola; Carlier, Julien; Pelanti, Marica; Congedo, Pietro Marco; Abgrall, Rémi
1
2022
High order residual distribution conservative finite difference HWENO scheme for steady state problems. Zbl 1515.65267
Lin, Jianfang; Ren, Yupeng; Abgrall, Rémi; Qiu, Jianxian
1
2022
Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum. Zbl 1521.76309
Abgrall, Rémi; Nassajian Mojarrad, Fatemeh
1
2022
THINC scaling method that bridges VOF and level set schemes. Zbl 07513864
Kumar, Ronit; Cheng, Lidong; Xiong, Yunong; Xie, Bin; Abgrall, Rémi; Xiao, Feng
5
2021
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping. Zbl 1480.65268
Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi
4
2021
General polytopal \(H(\mathrm{div})\)-conformal finite elements and their discretisation spaces. Zbl 1477.65184
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp
1
2021
Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
36
2020
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 1473.65183
Abgrall, Rémi; Torlo, Davide
12
2020
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
8
2020
Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1434.76062
Abgrall, Rémi; Lipnikov, Konstantin; Morgan, Nathaniel; Tokareva, Svetlana
6
2020
Error boundedness of correction procedure via reconstruction / flux reconstruction and the connection to residual distribution schemes. Zbl 1466.65113
Abgrall, Rémi; le Mélédo, Elise; Öffner, Philipp; Ranocha, Hendrik
5
2020
The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications. Zbl 1476.65202
Abgrall, Rémi
4
2020
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics. Zbl 1442.65245
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
18
2019
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. Zbl 1404.65112
Crisovan, R.; Torlo, D.; Abgrall, R.; Tokareva, S.
9
2019
Capturing near-equilibrium solutions: a comparison between high-order discontinuous Galerkin methods and well-balanced schemes. Zbl 1473.65196
Han Veiga, Maria; Velasco-Romero, David A.; Abgrall, Rémi; Teyssier, Romain
3
2019
High order residual distribution for steady state problems for hyperbolic conservation laws. Zbl 1450.65080
Lin, Jianfang; Abgrall, Rémi; Qiu, Jianxian
2
2019
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes. Zbl 1415.76442
Abgrall, R.
44
2018
A high-order nonconservative approach for hyperbolic equations in fluid dynamics. Zbl 1410.76277
Abgrall, R.; Bacigaluppi, P.; Tokareva, S.
30
2018
Some remarks about conservation for residual distribution schemes. Zbl 1398.76090
Abgrall, Rémi
10
2018
High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices. Zbl 1398.65242
Abgrall, R.
33
2017
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
24
2017
Staggered grid residual distribution scheme for Lagrangian hydrodynamics. Zbl 1374.76099
Abgrall, Rémi; Tokareva, Svetlana
16
2017
Construction of a \(p\)-adaptive continuous residual distribution scheme. Zbl 1383.65138
Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C.
6
2017
Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Zbl 1364.65001
6
2017
Design of a second-order fully explicit residual distribution scheme for compressible multiphase flows. Zbl 1368.76068
Abgrall, Rémi; Bacigaluppi, Paola
4
2017
Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties. Zbl 07313844
Abgrall, R.; Congedo, P. M.; Geraci, G.
2
2017
About non linear stabilization for scalar hyperbolic problems. Zbl 1409.35016
Abgrall, Rémi
1
2017
Some failures of Riemann solvers. Zbl 1366.76058
Abgrall, R.
1
2017
The stochastic finite volume method. Zbl 1404.65108
Abgrall, Rémi; Tokareva, Svetlana
1
2017
Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues. Zbl 1352.65001
40
2016
Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation. Zbl 1349.62329
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
11
2016
A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Zbl 1338.65011
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca
10
2016
How to avoid mass matrix for linear hyperbolic problems. Zbl 1352.65328
Abgrall, Rémi; Bacigaluppi, Paola; Tokareva, Svetlana
9
2016
On third-order limiter functions for finite volume methods. Zbl 1356.65219
Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel
5
2016
High-order statistics in global sensitivity analysis: decomposition and model reduction. Zbl 1425.65021
Geraci, G.; Congedo, P. M.; Abgrall, R.; Iaccarino, G.
4
2016
An adaptive, residual based, splitting approach for the penalized Navier Stokes equations. Zbl 1423.76267
Nouveau, L.; Beaugendre, H.; Dobrzynski, C.; Abgrall, R.; Ricchiuto, M.
4
2016
Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier-Stokes equations. Zbl 1351.76045
Abgrall, R.; De Santis, D.
23
2015
Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. Zbl 1352.62120
Tang, Kunkun; Congedo, Pietro M.; Abgrall, Rémi
11
2015
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1318.65047
Arpaia, L.; Ricchiuto, M.; Abgrall, R.
4
2015
On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows. Zbl 1423.76225
Dobeš, Jiří; Ricchiuto, Mario; Abgrall, Rémi; Deconinck, Herman
2
2015
Stochastic discrete equation method (SDEM) for two-phase flows. Zbl 1351.76044
Abgrall, R.; Congedo, P. M.; Geraci, G.; Rodio, M. G.
1
2015
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
83
2014
A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids. Zbl 1349.76278
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
64
2014
High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. Zbl 1297.65119
Abgrall, R.; De Santis, D.; Ricchiuto, M.
21
2014
An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. Zbl 1349.76580
Abgrall, R.; Beaugendre, H.; Dobrzynski, C.
20
2014
A one-time truncate and encode multiresolution stochastic framework. Zbl 1349.65004
Abgrall, R.; Congedo, P. M.; Geraci, G.
10
2014
Numerical approximation of a compressible multiphase system. Zbl 1373.76154
Abgrall, Remi; Kumar, Harish
8
2014
Robust finite volume schemes for two-fluid plasma equations. Zbl 1299.76157
Abgrall, Remi; Kumar, Harish
8
2014
An asymptotic preserving scheme for the barotropic Baer-Nunziato model. Zbl 1426.76326
Abgrall, Rémi; Dallet, Sophie
6
2014
On a class of high order schemes for hyperbolic problems. Zbl 1377.65146
Abgrall, Rémi
6
2014
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
Discrete equation method (DEM) for the simulation of viscous, compressible, two-phase flows. Zbl 1391.76457
Abgrall, R.; Rodio, M. G.
4
2014
A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems. Zbl 1455.65218
Abgrall, R.; Dobrzynski, C.; Froehly, A.
4
2014
An ALE formulation for explicit Runge-Kutta residual distribution. Zbl 1305.65206
Abgrall, Remi; Arpaia, Luca; Ricchiuto, Mario
3
2014
Two-phase flow numerical simulation with real-gas effects and occurrence of rarefaction shock waves. Zbl 1408.76441
Rodio, M. G.; Congedo, P. M.; Abgrall, R.
2
2014
A non-linear residual distribution scheme for real-gas computations. Zbl 1391.76658
Abgrall, R.; Congedo, P. M.; De Santis, D.; Razaaly, N.
2
2014
A nominally second-order cell-centered finite volume scheme for simulating three-dimensional anisotropic diffusion equations on unstructured grids. Zbl 1373.76132
Jacq, Pascal; Maire, Pierre-Henri; Abgrall, Rémi
1
2014
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
231
2013
A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids. Zbl 1291.74186
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Loubère, Raphaël; Rebourcet, Bernard
58
2013
Numerical approximation of parabolic problems by residual distribution schemes. Zbl 1431.65211
Abgrall, R.; Baurin, G.; Krust, A.; De Santis, D.; Ricchiuto, M.
2
2013
A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114
Abgrall, Remi
22
2012
Some examples of high order simulations parallel of inviscid flows on unstructured and hybrid meshes by residual distribution schemes. Zbl 1365.76107
Abgrall, R.; Baurin, G.; Jacq, P.; Ricchiuto, M.
3
2012
Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Zbl 1343.76017
Abgrall, R.; Larat, A.; Ricchiuto, M.
50
2011
Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics. Zbl 1433.76093
Vilar, François; Maire, Pierre-Henri; Abgrall, Rémi
34
2011
Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003
2
2011
A comment on the computation of non-conservative products. Zbl 1188.65134
Abgrall, Rémi; Karni, Smadar
90
2010
Explicit Runge-Kutta residual distribution schemes for time dependent problems: second order case. Zbl 1195.65133
Ricchiuto, M.; Abgrall, R.
44
2010
An example of high order residual distribution scheme using non-Lagrange elements. Zbl 1203.65240
Abgrall, R.; Trefilík, J.
18
2010
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
Abgrall, Rémi; Karni, Smadar
56
2009
Development of residual distribution schemes for the discontinuous Galerkin method: the scalar case with linear elements. Zbl 1364.65190
Abgrall, Remi; Shu, Chi-Wang
15
2009
A simple construction of very high order non-oscillatory compact schemes on unstructured meshes. Zbl 1242.76107
Abgrall, R.; Larat, A.; Ricchiuto, M.; Tavé, C.
14
2009
Construction of simple, stable, and convergent high order schemes for steady first order Hamilton-Jacobi equations. Zbl 1197.65167
Abgrall, R.
10
2009
Modelling phase transition in metastable liquids: application to cavitating and flashing flows. Zbl 1147.76060
Saurel, Richard; Petitpas, Fabien; Abgrall, Remi
106
2008
On uniformly high-order accurate residual distribution schemes for advection-diffusion. Zbl 1138.65103
Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H.
20
2008
High-order residual distribution schemes on quadrilateral meshes. Zbl 1135.65402
Villedieu, N.; Quintino, T.; Abgrall, R.; Deconinck, H.
2
2008
A relaxation scheme for the two-layer shallow water system. Zbl 1369.76030
Abgrall, R.; Karni, S.
2
2008
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
183
2007
Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes. Zbl 1216.76051
Ricchiuto, M.; Abgrall, R.; Deconinck, H.
71
2007
Residual distribution schemes on quadrilateral meshes. Zbl 1116.76058
Abgrall, R.; Marpeau, F.
10
2007
On the numerical approximation of first-order Hamilton-Jacobi equations. Zbl 1147.65323
Abgrall, Rémi; Perrier, Vincent
1
2007
Residual distribution schemes: current status and future trends. Zbl 1177.76205
Abgrall, Rémi
59
2006
Essentially non-oscillatory residual distribution schemes for hyperbolic problems. Zbl 1089.65083
Abgrall, R.
58
2006
Asymptotic expansion of a multiscale numerical scheme for compressible multiphase flow. Zbl 1236.76053
Abgrall, Rémi; Perrier, Vincent
13
2006
Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes. Zbl 1134.76400
Abgrall, R.; Andrianov, N.; Mezine, M.
10
2005
Entropic closure laws for two-fluids seven equation models. (Fermetures entropiques pour les systèmes bifluides à sept équations.) Zbl 1177.76435
Papin, Mikael; Abgrall, Rémi
2
2005
Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. Zbl 1067.65505
Abgrall, Rémi; Mezine, Mohamed
38
2004
A Lagrangian discontinuous Galerkin-type method on unstructured meshes to solve hydrodynamics problems. Zbl 1067.76591
Loubère, R.; Ovadia, J.; Abgrall, R.
29
2004
Discrete equations for physical and numerical compressible multiphase mixtures. Zbl 1072.76594
Abgrall, Rémi; Saurel, Richard
114
2003
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
88
2003
...and 33 more Documents
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Cited by 2,666 Authors

78 Abgrall, Rémi
74 Dumbser, Michael
41 Ricchiuto, Mario
37 Shu, Chi-Wang
33 Qiu, Jianxian
33 Saurel, Richard
31 Balsara, Dinshaw S.
29 Liu, Tiegang
29 Zhu, Jun
28 Boscheri, Walter
25 Morgan, Nathaniel R.
24 Maire, Pierre-Henri
22 Mai Duc Thanh
22 Toro, Eleuterio Francisco
21 Hérard, Jean-Marc
21 Loubère, Raphaël
21 Öffner, Philipp
19 Kuzmin, Dmitri
19 Munz, Claus-Dieter
19 Wang, Zhijian
18 Tian, Baolin
17 Khoo, Boo Cheong
17 Kurganov, Alexander
17 Xu, Kun
15 Deng, Xiaogang
15 Després, Bruno
15 Jiang, Song
15 Nkonga, Boniface
15 Zhao, Ning
14 Ren, Yuxin
14 Shen, Zhijun
13 Burton, Donald E.
13 Congedo, Pietro Marco
13 Coquel, Frédéric
13 Ferrer, Esteban
13 Gavrilyuk, Sergey L.
13 Helluy, Philippe
13 Shashkov, Mikhail J.
12 Chalons, Christophe
12 Chen, Yibing
12 Clain, Stéphane Louis
12 Jia, Zupeng
12 Li, Jiequan
12 Lukáčová-Medviďová, Mária
12 Men’shov, Igor S.
12 Nishikawa, Hiroaki
12 Tokareva, Svetlana A.
12 Torlo, Davide
11 Breil, Jérôme
11 Busto, Saray
11 Deng, Xi
11 Luo, Hong
11 Seguin, Nicolas
11 Vermeire, Brian C.
10 Cuong, Dao Huy
10 Daude, Frédéric
10 Hu, Guanghui
10 Lerat, Alain
10 Li, Ruo
10 Ni, Guoxi
10 Nordström, Jan
10 Pan, Liang
10 Renac, Florent
10 Zhang, Chao
9 Berthon, Christophe
9 Chandrashekar, Praveen
9 Cheng, Juan
9 Chizari, Hossain
9 Cockburn, Bernardo
9 Deconinck, Herman
9 Guermond, Jean-Luc
9 Ismail, Farzad
9 Liu, Xiaodong
9 Müller, Siegfried
9 Parés Madroñal, Carlos
9 Parsani, Matteo
9 Perrier, Vincent
9 Petitpas, Fabien
9 Popov, Boyan
9 Shyue, Keh-Ming
9 Wang, Zhenming
9 Wu, Kailiang
9 Xiao, Feng
9 Yu, Xijun
8 Adams, Nikolaus A.
8 Castro-Díaz, Manuel Jesús
8 Castro, Manuel J.
8 Chan, Jesse
8 Favrie, Nicolas
8 Gaburro, Elena
8 Gallouët, Thierry
8 Galon, Pascal
8 Gassner, Gregor J.
8 Ghidaglia, Jean-Michel
8 Goncalves, Eric
8 Hantke, Maren
8 Hurisse, Olivier
8 Ihme, Matthias
8 Johnsen, Eric
8 Karni, Smadar
...and 2,566 more Authors
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Cited in 152 Serials

749 Journal of Computational Physics
272 Computers and Fluids
135 Journal of Scientific Computing
74 Computer Methods in Applied Mechanics and Engineering
49 Communications in Computational Physics
44 Computers & Mathematics with Applications
41 Applied Mathematics and Computation
34 Applied Numerical Mathematics
32 SIAM Journal on Scientific Computing
32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 Journal of Computational and Applied Mathematics
26 Journal of Fluid Mechanics
23 Computer Physics Communications
21 International Journal for Numerical Methods in Fluids
21 Advances in Applied Mathematics and Mechanics
19 International Journal of Computational Fluid Dynamics
16 European Journal of Mechanics. B. Fluids
16 Communications on Applied Mathematics and Computation
13 Applied Mathematical Modelling
12 SIAM Journal on Numerical Analysis
10 Numerische Mathematik
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Computational Mathematics and Mathematical Physics
9 Mathematics of Computation
9 Shock Waves
9 International Journal on Finite Volumes
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 International Journal for Numerical Methods in Engineering
7 Mathematics and Computers in Simulation
7 Quarterly of Applied Mathematics
7 Physics of Fluids
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
7 International Journal of Computational Methods
6 Applied Mathematics Letters
6 Communications in Nonlinear Science and Numerical Simulation
6 Archives of Computational Methods in Engineering
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5 Advances in Computational Mathematics
5 Combustion Theory and Modelling
5 Computational Methods in Applied Mathematics
5 Oberwolfach Reports
5 Communications in Applied Mathematics and Computational Science
5 Numerical Mathematics: Theory, Methods and Applications
5 AMM. Applied Mathematics and Mechanics. (English Edition)
4 BIT
4 Numerical Methods for Partial Differential Equations
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Mathematical Problems in Engineering
4 Flow, Turbulence and Combustion
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Matematicheskoe Modelirovanie
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3 Continuum Mechanics and Thermodynamics
3 Computational Geosciences
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3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Journal of Computational Physics: X
2 Modern Physics Letters B
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2 Theoretical and Computational Fluid Dynamics
2 Studies in Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Physica D
2 Computational Mechanics
2 Science in China. Series A
2 Applications of Mathematics
2 SIAM Journal on Applied Mathematics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Engineering Analysis with Boundary Elements
2 Taiwanese Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Lobachevskii Journal of Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 International Journal of Modern Physics C
2 Differential Equations
2 Mathematical Modelling and Analysis
2 Multiscale Modeling & Simulation
2 Kinetic and Related Models
2 International Journal for Numerical Methods in Biomedical Engineering
2 S\(\vec{\text{e}}\)MA Journal
2 East Asian Journal on Applied Mathematics
2 Research in the Mathematical Sciences
2 SMAI Journal of Computational Mathematics
2 SN Partial Differential Equations and Applications
2 Results in Applied Mathematics
1 Applicable Analysis
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