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Shashkov, Mikhail J.

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Author ID: shashkov.mikhail-j Recent zbMATH articles by "Shashkov, Mikhail J."
Published as: Shashkov, Mikhail; Shashkov, M. J.; Shashkov, M.; Shashkov, Mikhail J.
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Co-Authors

2 single-authored
19 Kuchařík, Milan
14 Lipnikov, Konstantin N.
12 Hyman, James M.
12 Liska, Richard
8 Garimella, Rao V.
8 Maire, Pierre-Henri
8 Margolin, Len G.
8 Wendroff, Burton
7 Loubère, Raphaël
6 Berndt, Markus
6 Breil, Jérôme
6 Burton, Donald E.
6 Steinberg, Stanly L.
6 Velechovsky, Jan
5 Barlow, Andrew J.
5 Bochev, Pavel B.
5 Kenamond, Mack
5 Kikinzon, Evgeny
5 Klima, Matej
5 Váchal, Pavel
4 Ahn, Hyung Taek
4 Caramana, Edward J.
4 Knupp, Patrick M.
4 Kuzmin, Dmitri
4 Morel, Jim E.
4 Sambasivan, Shiv Kumar
4 Scovazzi, Guglielmo
4 Svyatsky, Daniil
3 Brezzi, Franco
3 Campbell, James C.
3 Castillo, José E.
3 Galera, Stéphane
3 Ganzha, Victor G.
3 Kamm, James R.
3 Manzini, Gianmarco
3 Ridzal, Denis
3 Whalen, Paul P.
3 Yotov, Ivan
2 Akkerman, Ido
2 Bazilevs, Yuri
2 Benson, David J.
2 Bo, Wurigen
2 Harribey, Thibault
2 Herring, Angela
2 Jemison, Matthew
2 Kuznetsov, Yurii Alekseevich
2 Morgan, Nathaniel R.
2 Moulton, J. David
2 Rakotoarivelo, Hoby
2 Ray, Navamita
2 Rider, William J.
2 Shevitz, Daniel
2 Sussman, Mark
2 Swartz, Blair K.
2 Wheeler, Mary Fanett
2 Zenger, Christoph
1 Albright, Jason
1 Arienti, Marco
1 Arnold, Douglas Norman
1 Bailey, David S.
1 Bauer, Amy L.
1 Bement, Matthew T.
1 Canfield, Thomas R.
1 Carney, Theodore C.
1 Christon, Mark A.
1 D’Elia, Marta
1 Dendy, Edward D.
1 Dyadechko, Vadim
1 Francois, Marianne M.
1 Friess, Marie Billaud
1 Goncharov, Evgeny A.
1 Hall, Michael L.
1 Harrison, Alan K.
1 Hill, Ryan N.
1 Kolobyanin, Vadim Yu.
1 Lehoucq, Richard B.
1 Li, Shengtai
1 Lipnikov, Konstatin
1 Loch, Eva
1 Long, Christopher C.
1 Luo, Hong
1 Masser, T. O.
1 Möller, Matthias
1 Nicolaides, Roy A.
1 Ohta, Mitsuhiro
1 Olshanskii, Maxim A.
1 Owen, J. Michael
1 Peterson, Kara J.
1 Rieben, Robert N.
1 Roberts, Randy M.
1 Sadchikov, Vitaly V.
1 Schofield, Samuel P.
1 Shadid, John N.
1 Simoncini, Valeria
1 Smolarkiewicz, Piotr K.
1 Vassilevski, Yuri V.
1 Wang, Chuanjin
1 Yanilkin, Yury V.
1 Zhiliakov, Alexander

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 3,802 times in 1,252 Documents Cited by Year
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. Zbl 0931.76080
Caramana, E. J.; Burton, D. E.; Shashkov, M. J.; Whalen, P. P.
177
1998
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
174
2005
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
163
2014
Formulations of artificial viscosity for multi-dimensional shock wave computations. Zbl 1392.76041
Caramana, E. J.; Shashkov, M. J.; Whalen, P. P.
106
1998
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
103
2007
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093
Hyman, James; Shashkov, Mikhail; Steinberg, Stanly
95
1997
Reconstruction of multi-material interfaces from moment data. Zbl 1220.76048
Dyadechko, Vadim; Shashkov, Mikhail
91
2008
A tensor artificial viscosity using a mimetic finite differential algorithm. Zbl 1002.76082
Campbell, J. C.; Shashkov, M. J.
88
2001
Solving diffusion equations with rough coefficients in rough grids. Zbl 0874.65062
Shashkov, Mikhail; Steinberg, Stanly
88
1996
Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method. Zbl 1305.76067
Loubère, Raphaël; Maire, Pierre-Henri; Shashkov, Mikhail; Breil, Jérôme; Galera, Stéphane
86
2010
Conservative finite-difference methods on general grids. Ed. by Stanly Steinberg. Incl. 1 disk. Zbl 0844.65067
Shashkov, M.
81
1996
Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures. Zbl 0932.76068
Caramana, E. J.; Shashkov, M. J.
80
1998
Multi-material interface reconstruction on generalized polyhedral meshes. Zbl 1388.76232
Ahn, Hyung Taek; Shashkov, Mikhail
79
2007
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
75
2007
Second-order sign-preserving conservative interpolation (remapping) on general grids. Zbl 1016.65004
Margolin, L. G.; Shashkov, Mikhail
71
2003
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
67
2006
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006
Hyman, J. M.; Shashkov, M.
63
1997
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods. Zbl 1329.76236
Loubére, Raphaël; Shashkov, Mikhail J.
58
2005
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
58
2002
A cell-centered Lagrangian Godunov-like method for solid dynamics. Zbl 1290.76095
Burton, D. E.; Carney, T. C.; Morgan, N. R.; Sambasivan, S. K.; Shashkov, M. J.
55
2013
A local support-operators diffusion discretization scheme for quadrilateral \(r\)-\(z\) meshes. Zbl 1395.76052
Morel, J. E.; Roberts, Randy M.; Shashkov, Mikhail J.
54
1998
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Zbl 1057.65071
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail
53
2004
Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. Zbl 1351.76093
Barlow, Andrew J.; Maire, Pierre-Henri; Rider, William J.; Rieben, Robert N.; Shashkov, Mikhail J.
52
2016
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods. Zbl 1120.76340
Knupp, Patrick; Margolin, Len G.; Shashkov, Mikhail
52
2002
Support-operator finite-difference algorithms for general elliptic problems. Zbl 0824.65101
Shashkov, Mikhail; Steinberg, Stanly
51
1995
Local flux mimetic finite difference methods. Zbl 1165.65063
Lipnikov, Konstantin; Shashkov, Mikhail; Yotov, Ivan
51
2009
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
50
1997
An efficient linearity-and-bound-preserving remapping method. Zbl 1022.65009
Kucharik, Milan; Shashkov, Mikhail; Wendroff, Burton
50
2003
A comparative study of interface reconstruction methods for multi-material ALE simulations. Zbl 1423.76343
Kucharik, Milan; Garimella, Rao V.; Schofield, Samuel P.; Shashkov, Mikhail J.
50
2010
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
48
2008
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. Zbl 1408.65077
Berndt, Markus; Breil, Jérôme; Galera, Stéphane; Kucharik, Milan; Maire, Pierre-Henri; Shashkov, Mikhail
47
2011
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
46
1998
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015
Hyman, James M.; Shashkov, Mikhail
44
1999
Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods. Zbl 1349.76493
Kucharik, Milan; Shashkov, Mikhail
41
2014
Closure models for multimaterial cells in arbitrary Lagrangian-Eulerian hydrocodes. Zbl 1151.76026
Shashkov, M.
41
2008
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes. Zbl 1120.65332
Lipnikov, Konstantin; Shashkov, Mikhail; Svyatskiy, Daniil
39
2006
Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations. Zbl 1169.76396
Scovazzi, G.; Love, E.; Shashkov, M. J.
39
2008
A discrete operator calculus for finite difference approximations. Zbl 0978.76063
Margolin, Len G.; Shashkov, Mikhail; Smolarkiewicz, Piotr K.
38
2000
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085
Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D.
36
2008
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030
Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I.
33
2005
One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods. Zbl 1323.74108
Kucharik, Milan; Shashkov, Mikhail
33
2012
Hybrid remap for multi-material ALE. Zbl 1433.76133
Kucharik, M.; Breil, J.; Galera, S.; Maire, P.-H.; Berndt, M.; Shashkov, M.
32
2011
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
32
2005
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
31
1998
A multi-material ReALE method with MOF interface reconstruction. Zbl 1290.76094
Breil, Jérôme; Harribey, Thibault; Maire, Pierre-Henri; Shashkov, Mikhail
31
2013
The repair paradigm and application to conservation laws. Zbl 1107.65341
Shashkov, Mikhail; Wendroff, Burton
28
2004
Adaptive moment-of-fluid method. Zbl 1282.76147
Ahn, Hyung Taek; Shashkov, Mikhail
27
2009
Remapping, recovery and repair on a staggered grid. Zbl 1068.76058
Margolin, L. G.; Shashkov, Mikhail
25
2004
Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods. Zbl 1329.76269
Liska, Richard; Shashkov, Mikhail; Váchal, Pavel; Wendroff, Burton
25
2010
Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics. Zbl 0936.76057
Margolin, Len; Shashkov, Mikhail
23
1999
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054
Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail
23
2013
Convergence of mimetic finite difference discretizations of the diffusion equation. Zbl 1014.65114
Berndt, M.; Lipnikov, K.; Moulton, D.; Shashkov, M.
23
2001
A compatible Lagrangian hydrodynamics algorithm for unstructured grids. Zbl 1150.76433
Campbell, James C.; Shashkov, Mikhail J.
22
2003
Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 1349.65196
Barlow, Andrew; Hill, Ryan; Shashkov, Mikhail
22
2014
Triangular and quadrilateral surface mesh quality optimization using local parametrization. Zbl 1050.65123
Garimella, Rao V.; Shashkov, Mikhail J.; Knupp, Patrick M.
21
2004
Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes. Zbl 1290.76107
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
21
2013
An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes. Zbl 1177.76346
Garimella, Rao; Kucharik, Milan; Shashkov, Mikhail
20
2007
Synchronized flux corrected remapping for ALE methods. Zbl 1433.76135
Liska, Richard; Shashkov, Mikhail; Váchal, Pavel; Wendroff, Burton
20
2011
Multi-material pressure relaxation methods for Lagrangian hydrodynamics. Zbl 1290.76138
Yanilkin, Yury V.; Goncharov, Evgeny A.; Kolobyanin, Vadim Yu.; Sadchikov, Vitaly V.; Kamm, James R.; Shashkov, Mikhail J.; Rider, William J.
20
2013
A coupled level set-moment of fluid method for incompressible two-phase flows. Zbl 1352.76091
Jemison, Matthew; Loch, Eva; Sussman, Mark; Shashkov, Mikhail; Arienti, Marco; Ohta, Mitsuhiro; Wang, Yaohong
19
2013
The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension. Zbl 0836.65025
Castillo, J. E.; Hyman, J. M.; Shashkov, M. J.; Steinberg, S.
18
1995
Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161
Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail
18
2010
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
18
2016
ReALE: a Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry. Zbl 1305.76066
Loubère, Raphaël; Maire, Pierre-Henri; Shashkov, Mikhail
17
2011
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. Zbl 1425.76186
Lipnikov, K.; Shashkov, M.
17
2010
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. Zbl 1161.76538
Bauer, A. L.; Burton, D. E.; Caramana, E. J.; Loubère, R.; Shashkov, M. J.; Whalen, P. P.
17
2006
A local support-operators diffusion discretization scheme for hexahedral meshes. Zbl 0983.65096
Morel, J. E.; Hall, Michael L.; Shashkov, Mikhail J.
16
2001
A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation. Zbl 1290.76133
Francois, M. M.; Shashkov, M. J.; Masser, T. O.; Dendy, E. D.
16
2013
Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient. Zbl 0978.65011
Castillo, J. E.; Hyman, J. M.; Shashkov, M.; Steinberg, S.
14
2001
Isogeometric analysis of Lagrangian hydrodynamics. Zbl 1349.76178
Bazilevs, Y.; Akkerman, I.; Benson, D. J.; Scovazzi, G.; Shashkov, M. J.
14
2013
Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D \(rz\) - cylindrical coordinates. Zbl 1349.76771
Kenamond, Mack; Bement, Matthew; Shashkov, Mikhail
14
2014
Filament capturing with the multimaterial moment-of-fluid method. Zbl 1352.65324
Jemison, Matthew; Sussman, Mark; Shashkov, Mikhail
14
2015
Geometric algorithms for 3D interface reconstruction. Zbl 1134.65311
Ahn, Hyung Taek; Shashkov, Mikhail
13
2008
The error-minimization-based strategy for moving mesh methods. Zbl 1115.76374
Lipnikov, Konstantin; Shashkov, Mikhail
13
2006
The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods. Zbl 0998.65107
Hyman, J.; Shashkov, M.; Steinberg, S.
13
2001
Untangling of 2D meshes in ALE simulations. Zbl 1109.76332
Vachal, Pavel; Garimella, Rao V.; Shashkov, Mikhail J.
12
2004
Adaptive reconnection-based arbitrary Lagrangian Eulerian method. Zbl 1352.65602
Bo, Wurigen; Shashkov, Mikhail
12
2015
Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics. Zbl 1349.76402
Velechovský, J.; Kuchařík, M.; Liska, R.; Shashkov, M.; Váchal, P.
11
2013
Volume consistency in a staggered grid Lagrangian hydrodynamics scheme. Zbl 1147.76044
Loubère, R.; Shashkov, M.; Wendroff, B.
11
2008
Local reconstruction of a vector field from its normal components on the faces of grid cells. Zbl 0908.65112
Shashkov, Mikhail; Swartz, Blair; Wendroff, Burton
10
1998
Extension of efficient, swept-integration-based conservative remapping method for meshes with changing connectivity. Zbl 1384.65018
Kucharik, M.; Shashkov, M.
10
2008
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. Zbl 1286.74113
Kumar Sambasivan, Shiv; Shashkov, Mikhail J.; Burton, Donald E.
10
2013
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
10
2006
The moment-of-fluid method in action. Zbl 1276.76049
Ahn, Hyung Taek; Shashkov, Mikhail; Christon, Mark A.
9
2009
Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid. Zbl 1058.65115
Liska, Richard; Shashkov, Mikhail; Ganzha, Victor
9
2004
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496
Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail
9
2011
Isogeometric analysis of Lagrangian hydrodynamics: axisymmetric formulation in the \(rz\)-cylindrical coordinates. Zbl 1349.82070
Bazilevs, Y.; Long, C. C.; Akkerman, I.; Benson, D. J.; Shashkov, M. J.
9
2014
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
9
2017
A multi-material CCALE-MOF approach in cylindrical geometry. Zbl 1388.65078
Friess, Marie Billaud; Breil, Jérôme; Maire, Pierre-Henri; Shashkov, Mikhail
9
2014
High-order remapping with piece-wise parabolic reconstruction. Zbl 1290.76117
Velechovský, J.; Liska, R.; Shashkov, M.
9
2013
Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389
Bochev, Pavel; Shashkov, Mikhail
8
2005
Arbitrary Lagrangian eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods. Zbl 1351.76221
Owen, J. Michael; Shashkov, Mikhail
8
2014
R-adaptive reconnection-based arbitrary Lagrangian Eulerian method-R-ReALE. Zbl 1363.65154
Bo, Wurigen; Shashkov, Mikhail
8
2015
A pressure relaxation closure model for one-dimensional, two-material Lagrangian hydrodynamics based on the Riemann problem. Zbl 1364.76134
Kamm, James R.; Shashkov, Mikhail J.
8
2010
A comparative study of various pressure relaxation closure models for one-dimensional two-material Lagrangian hydrodynamics. Zbl 1429.76088
Kamm, J. R.; Shashkov, M. J.; Fung, J.; Harrison, A. K.; Canfield, T. R.
7
2011
A mortar mimetic finite difference method on nonmatching grids. Zbl 1089.65114
Berndt, Markus; Lipnikov, Konstantin; Shashkov, Mikhail; Wheeler, Mary F.; Yotov, Ivan
7
2005
Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420
D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail
7
2016
Finite volume methods and the equations of finite scale: a mimetic approach. Zbl 1155.76041
Margolin, L. G.; Shashkov, M.
7
2008
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. Zbl 1380.65234
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail
7
2017
Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics. Zbl 1415.76445
Barlow, Andrew; Klima, Matej; Shashkov, Mikhail
7
2018
Conservative remapping of material-dependent fields between possibly misaligned material regions. Zbl 07561078
Rakotoarivelo, Hoby; Garimella, Rao; Herring, Angela; Shashkov, Mikhail; Shevitz, Daniel; Kikinzon, Evgeny; Velechovsky, Jan; Lipnikov, Konstantin; Ray, Navamita
1
2022
Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 07500748
Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail
1
2021
A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. Zbl 07503729
Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail
1
2021
A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation. Zbl 07200200
Wang, Chuanjin; Luo, Hong; Shashkov, Mikhail
4
2020
An interface-aware sub-scale dynamics multi-material cell model for solids with void closure and opening at all speeds. Zbl 07335322
Klima, Matej; Barlow, Andrew; Kucharik, Milan; Shashkov, Mikhail
2
2020
The distribution-based remapping of the nodal mass and momentum between arbitrary meshes for staggered arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 07196713
Kenamond, Mack; Shashkov, Mikhail
2
2020
An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Zbl 1442.65282
Wu, T.; Shashkov, M.; Morgan, N.; Kuzmin, D.; Luo, H.
5
2019
Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics. Zbl 1442.65189
Barlow, Andrew; Morgan, Nathaniel; Shashkov, Mikhail
1
2019
Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics. Zbl 1415.76445
Barlow, Andrew; Klima, Matej; Shashkov, Mikhail
7
2018
Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations. Zbl 1410.76239
Kikinzon, Evgeny; Shashkov, Mikhail; Garimella, Rao
5
2018
A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. Zbl 1380.76102
Kucharik, M.; Scovazzi, G.; Shashkov, M.; Loubère, R.
1
2018
Bound-preserving reconstruction of tensor quantities for remap in ALE fluid dynamics. Zbl 1407.76114
Klima, Matej; Kucharik, Milan; Shashkov, Mikhail; Velechovsky, Jan
1
2018
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
9
2017
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. Zbl 1380.65234
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail
7
2017
Local error analysis and comparison of the swept- and intersection-based remapping methods. Zbl 07413984
Klima, Matej; Kucharik, Milan; Shashkov, Mikhail
3
2017
Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. Zbl 1351.76093
Barlow, Andrew J.; Maire, Pierre-Henri; Rider, William J.; Rieben, Robert N.; Shashkov, Mikhail J.
52
2016
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
18
2016
Optimization-based mesh correction with volume and convexity constraints. Zbl 1349.65420
D’Elia, Marta; Ridzal, Denis; Peterson, Kara J.; Bochev, Pavel; Shashkov, Mikhail
7
2016
Filament capturing with the multimaterial moment-of-fluid method. Zbl 1352.65324
Jemison, Matthew; Sussman, Mark; Shashkov, Mikhail
14
2015
Adaptive reconnection-based arbitrary Lagrangian Eulerian method. Zbl 1352.65602
Bo, Wurigen; Shashkov, Mikhail
12
2015
R-adaptive reconnection-based arbitrary Lagrangian Eulerian method-R-ReALE. Zbl 1363.65154
Bo, Wurigen; Shashkov, Mikhail
8
2015
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
163
2014
Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods. Zbl 1349.76493
Kucharik, Milan; Shashkov, Mikhail
41
2014
Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 1349.65196
Barlow, Andrew; Hill, Ryan; Shashkov, Mikhail
22
2014
Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D \(rz\) - cylindrical coordinates. Zbl 1349.76771
Kenamond, Mack; Bement, Matthew; Shashkov, Mikhail
14
2014
Isogeometric analysis of Lagrangian hydrodynamics: axisymmetric formulation in the \(rz\)-cylindrical coordinates. Zbl 1349.82070
Bazilevs, Y.; Long, C. C.; Akkerman, I.; Benson, D. J.; Shashkov, M. J.
9
2014
A multi-material CCALE-MOF approach in cylindrical geometry. Zbl 1388.65078
Friess, Marie Billaud; Breil, Jérôme; Maire, Pierre-Henri; Shashkov, Mikhail
9
2014
Arbitrary Lagrangian eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods. Zbl 1351.76221
Owen, J. Michael; Shashkov, Mikhail
8
2014
A cell-centered Lagrangian Godunov-like method for solid dynamics. Zbl 1290.76095
Burton, D. E.; Carney, T. C.; Morgan, N. R.; Sambasivan, S. K.; Shashkov, M. J.
55
2013
A multi-material ReALE method with MOF interface reconstruction. Zbl 1290.76094
Breil, Jérôme; Harribey, Thibault; Maire, Pierre-Henri; Shashkov, Mikhail
31
2013
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Zbl 1349.65054
Bochev, Pavel; Ridzal, Denis; Shashkov, Mikhail
23
2013
Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes. Zbl 1290.76107
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
21
2013
Multi-material pressure relaxation methods for Lagrangian hydrodynamics. Zbl 1290.76138
Yanilkin, Yury V.; Goncharov, Evgeny A.; Kolobyanin, Vadim Yu.; Sadchikov, Vitaly V.; Kamm, James R.; Shashkov, Mikhail J.; Rider, William J.
20
2013
A coupled level set-moment of fluid method for incompressible two-phase flows. Zbl 1352.76091
Jemison, Matthew; Loch, Eva; Sussman, Mark; Shashkov, Mikhail; Arienti, Marco; Ohta, Mitsuhiro; Wang, Yaohong
19
2013
A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation. Zbl 1290.76133
Francois, M. M.; Shashkov, M. J.; Masser, T. O.; Dendy, E. D.
16
2013
Isogeometric analysis of Lagrangian hydrodynamics. Zbl 1349.76178
Bazilevs, Y.; Akkerman, I.; Benson, D. J.; Scovazzi, G.; Shashkov, M. J.
14
2013
Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics. Zbl 1349.76402
Velechovský, J.; Kuchařík, M.; Liska, R.; Shashkov, M.; Váchal, P.
11
2013
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. Zbl 1286.74113
Kumar Sambasivan, Shiv; Shashkov, Mikhail J.; Burton, Donald E.
10
2013
High-order remapping with piece-wise parabolic reconstruction. Zbl 1290.76117
Velechovský, J.; Liska, R.; Shashkov, M.
9
2013
A finite volume cell-centered Lagrangian hydrodynamics approach for solids in general unstructured grids. Zbl 1455.74019
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
6
2013
One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods. Zbl 1323.74108
Kucharik, Milan; Shashkov, Mikhail
33
2012
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. Zbl 1408.65077
Berndt, Markus; Breil, Jérôme; Galera, Stéphane; Kucharik, Milan; Maire, Pierre-Henri; Shashkov, Mikhail
47
2011
Hybrid remap for multi-material ALE. Zbl 1433.76133
Kucharik, M.; Breil, J.; Galera, S.; Maire, P.-H.; Berndt, M.; Shashkov, M.
32
2011
Synchronized flux corrected remapping for ALE methods. Zbl 1433.76135
Liska, Richard; Shashkov, Mikhail; Váchal, Pavel; Wendroff, Burton
20
2011
ReALE: a Reconnection Arbitrary-Lagrangian-Eulerian method in cylindrical geometry. Zbl 1305.76066
Loubère, Raphaël; Maire, Pierre-Henri; Shashkov, Mikhail
17
2011
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. Zbl 1416.65496
Bochev, Pavel; Ridzal, Denis; Scovazzi, Guglielmo; Shashkov, Mikhail
9
2011
A comparative study of various pressure relaxation closure models for one-dimensional two-material Lagrangian hydrodynamics. Zbl 1429.76088
Kamm, J. R.; Shashkov, M. J.; Fung, J.; Harrison, A. K.; Canfield, T. R.
7
2011
Flux-based approach for conservative remap of multi-material quantities in 2D arbitrary Lagrangian-Eulerian simulations. Zbl 1246.76103
Kucharik, Milan; Shashkov, Mikhail
3
2011
The early influence of Peter Lax on computational hydrodynamics and an application of Lax-Friedrichs and Lax-Wendroff on triangular grids in Lagrangian coordinates. Zbl 1265.35216
Liska, Richard; Shashkov, Mikhail; Wendroff, Burton
1
2011
Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method. Zbl 1305.76067
Loubère, Raphaël; Maire, Pierre-Henri; Shashkov, Mikhail; Breil, Jérôme; Galera, Stéphane
86
2010
A comparative study of interface reconstruction methods for multi-material ALE simulations. Zbl 1423.76343
Kucharik, Milan; Garimella, Rao V.; Schofield, Samuel P.; Shashkov, Mikhail J.
50
2010
Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods. Zbl 1329.76269
Liska, Richard; Shashkov, Mikhail; Váchal, Pavel; Wendroff, Burton
25
2010
Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161
Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail
18
2010
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. Zbl 1425.76186
Lipnikov, K.; Shashkov, M.
17
2010
A pressure relaxation closure model for one-dimensional, two-material Lagrangian hydrodynamics based on the Riemann problem. Zbl 1364.76134
Kamm, James R.; Shashkov, Mikhail J.
8
2010
Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods. Zbl 1252.76059
Bailey, David; Berndt, Markus; Kucharik, Milan; Shashkov, Mikhail
5
2010
Local flux mimetic finite difference methods. Zbl 1165.65063
Lipnikov, Konstantin; Shashkov, Mikhail; Yotov, Ivan
51
2009
Adaptive moment-of-fluid method. Zbl 1282.76147
Ahn, Hyung Taek; Shashkov, Mikhail
27
2009
The moment-of-fluid method in action. Zbl 1276.76049
Ahn, Hyung Taek; Shashkov, Mikhail; Christon, Mark A.
9
2009
Reconstruction of multi-material interfaces from moment data. Zbl 1220.76048
Dyadechko, Vadim; Shashkov, Mikhail
91
2008
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
48
2008
Closure models for multimaterial cells in arbitrary Lagrangian-Eulerian hydrocodes. Zbl 1151.76026
Shashkov, M.
41
2008
Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations. Zbl 1169.76396
Scovazzi, G.; Love, E.; Shashkov, M. J.
39
2008
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085
Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D.
36
2008
Geometric algorithms for 3D interface reconstruction. Zbl 1134.65311
Ahn, Hyung Taek; Shashkov, Mikhail
13
2008
Volume consistency in a staggered grid Lagrangian hydrodynamics scheme. Zbl 1147.76044
Loubère, R.; Shashkov, M.; Wendroff, B.
11
2008
Extension of efficient, swept-integration-based conservative remapping method for meshes with changing connectivity. Zbl 1384.65018
Kucharik, M.; Shashkov, M.
10
2008
Finite volume methods and the equations of finite scale: a mimetic approach. Zbl 1155.76041
Margolin, L. G.; Shashkov, M.
7
2008
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
103
2007
Multi-material interface reconstruction on generalized polyhedral meshes. Zbl 1388.76232
Ahn, Hyung Taek; Shashkov, Mikhail
79
2007
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
75
2007
An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes. Zbl 1177.76346
Garimella, Rao; Kucharik, Milan; Shashkov, Mikhail
20
2007
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
67
2006
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes. Zbl 1120.65332
Lipnikov, Konstantin; Shashkov, Mikhail; Svyatskiy, Daniil
39
2006
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. Zbl 1161.76538
Bauer, A. L.; Burton, D. E.; Caramana, E. J.; Loubère, R.; Shashkov, M. J.; Whalen, P. P.
17
2006
The error-minimization-based strategy for moving mesh methods. Zbl 1115.76374
Lipnikov, Konstantin; Shashkov, Mikhail
13
2006
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
10
2006
MPDATA: gauge transformations, limiters and monotonicity. Zbl 1329.76237
Margolin, L. G.; Shashkov, M.
1
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
174
2005
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods. Zbl 1329.76236
Loubére, Raphaël; Shashkov, Mikhail J.
58
2005
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030
Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I.
33
2005
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
32
2005
Constrained interpolation (remap) of divergence-free fields. Zbl 1143.65389
Bochev, Pavel; Shashkov, Mikhail
8
2005
A mortar mimetic finite difference method on nonmatching grids. Zbl 1089.65114
Berndt, Markus; Lipnikov, Konstantin; Shashkov, Mikhail; Wheeler, Mary F.; Yotov, Ivan
7
2005
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Zbl 1057.65071
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail
53
2004
The repair paradigm and application to conservation laws. Zbl 1107.65341
Shashkov, Mikhail; Wendroff, Burton
28
2004
Remapping, recovery and repair on a staggered grid. Zbl 1068.76058
Margolin, L. G.; Shashkov, Mikhail
25
2004
Triangular and quadrilateral surface mesh quality optimization using local parametrization. Zbl 1050.65123
Garimella, Rao V.; Shashkov, Mikhail J.; Knupp, Patrick M.
21
2004
Untangling of 2D meshes in ALE simulations. Zbl 1109.76332
Vachal, Pavel; Garimella, Rao V.; Shashkov, Mikhail J.
12
2004
Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid. Zbl 1058.65115
Liska, Richard; Shashkov, Mikhail; Ganzha, Victor
9
2004
Efficient algorithm for local-bound-preserving remapping in ALE methods. Zbl 1198.76092
Garimella, Rao; Kuchařík, Milan; Shashkov, Mikhail
1
2004
Mimetic finite difference methods for diffusion equations on unstructured triangular grid. Zbl 1056.65079
Ganzha, Victor; Liska, Richard; Shashkov, Mikhail; Zenger, Christoph
1
2004
Second-order sign-preserving conservative interpolation (remapping) on general grids. Zbl 1016.65004
Margolin, L. G.; Shashkov, Mikhail
71
2003
An efficient linearity-and-bound-preserving remapping method. Zbl 1022.65009
Kucharik, Milan; Shashkov, Mikhail; Wendroff, Burton
50
2003
A compatible Lagrangian hydrodynamics algorithm for unstructured grids. Zbl 1150.76433
Campbell, James C.; Shashkov, Mikhail J.
22
2003
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
58
2002
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods. Zbl 1120.76340
Knupp, Patrick; Margolin, Len G.; Shashkov, Mikhail
52
2002
Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured meshes. Zbl 1075.76657
Shashkov, Mikhail; Knupp, Patrick
6
2002
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
6
2002
Support operator method for Laplace equation on unstructured triangular grid. Zbl 1020.65075
Ganzha, Victor; Liska, Richard; Shashkov, Mikhail; Zenger, Christoph
3
2002
...and 26 more Documents
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Cited by 1,691 Authors

84 Shashkov, Mikhail J.
41 Manzini, Gianmarco
40 Yuan, Guangwei
36 Lipnikov, Konstantin N.
30 Maire, Pierre-Henri
26 Beirão da Veiga, Lourenço
24 Dumbser, Michael
24 Loubère, Raphaël
23 Morgan, Nathaniel R.
22 Wu, Jiming
20 Sheng, Zhiqiang
19 Antonietti, Paola Francesca
18 Boscheri, Walter
18 Brezzi, Franco
18 Droniou, Jérôme
18 Kuzmin, Dmitri
17 Burton, Donald E.
16 Kuchařík, Milan
15 Bochev, Pavel B.
15 Breil, Jérôme
15 Scovazzi, Guglielmo
14 Russo, Alessandro
14 Wendroff, Burton
13 Di Pietro, Daniele Antonio
13 Kolev, Tzanio V.
13 Verani, Marco
12 Edwards, Michael G.
12 Shen, Zhijun
12 Svyatsky, Daniil
11 Gao, Zhiming
11 Jia, Zupeng
11 Shu, Chi-Wang
11 Tian, Baolin
11 Tomov, Vladimir Z.
10 Caramana, Edward J.
10 Dobrev, Veselin A.
10 Garimella, Rao V.
10 Gyrya, Vitaliy T.
10 Hyman, James M.
10 Marini, Luisa Donatella
9 Després, Bruno
9 Jiang, Song
9 Liska, Richard
9 Rieben, Robert N.
8 Abgrall, Rémi
8 Cheng, Juan
8 Labourasse, Emmanuel
8 Le Potier, Christophe
8 Margolin, Len G.
8 Nakshatrala, K. B.
8 Rider, William J.
8 Vacca, Giuseppe
7 Cangiani, Andrea
7 Ern, Alexandre
7 Galera, Stéphane
7 Gerritsma, Marc I.
7 Huang, Weizhang
7 Moulton, J. David
7 Shadid, John N.
7 Su, Shuai
7 Váchal, Pavel
7 Waltz, Jacob I.
7 Wang, Yihong
7 Yu, Xijun
6 Adak, Dibyendu
6 Arrarás, Andres
6 Barlow, Andrew J.
6 Bertoluzza, Silvia
6 Bonet, Javier
6 Cheng, Junbo
6 Dassi, Franco
6 Francois, Marianne M.
6 Gil, Antonio J.
6 Hu, Xiaozhe
6 Mascotto, Lorenzo
6 Men’shov, Igor S.
6 Perot, J. Blair
6 Portero, Laura
6 Ridzal, Denis
6 Specogna, Ruben
6 Trask, Nathaniel A.
6 Vassilevski, Yuri V.
6 Velechovsky, Jan
6 Wheeler, Mary Fanett
6 Xu, Kun
6 Yotov, Ivan
5 Bazilevs, Yuri
5 Caboussat, Alexandre
5 Dai, Zihuan
5 Dehghan Takht Fooladi, Mehdi
5 Dong, Qiannan
5 Eymard, Robert
5 Fedkiw, Ronald P.
5 Guermond, Jean-Luc
5 Guevara-Jordan, Juan M.
5 Herbin, Raphaèle
5 Hermeline, François
5 Houston, Paul
5 Karasözen, Bülent
5 Kenamond, Mack
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425 Journal of Computational Physics
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63 Computers & Mathematics with Applications
41 Journal of Scientific Computing
31 Journal of Computational and Applied Mathematics
30 SIAM Journal on Scientific Computing
27 Computational Geosciences
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 International Journal for Numerical Methods in Fluids
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Communications in Computational Physics
21 Numerische Mathematik
21 Applied Numerical Mathematics
19 International Journal for Numerical Methods in Engineering
18 Applied Mathematics and Computation
14 SIAM Journal on Numerical Analysis
12 Mathematics of Computation
9 Numerical Methods for Partial Differential Equations
7 Calcolo
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7 Computational Mechanics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 International Journal on Finite Volumes
6 Computer Physics Communications
6 Advances in Computational Mathematics
5 Moscow University Computational Mathematics and Cybernetics
5 Mathematical and Computer Modelling
5 Mathematical Problems in Engineering
4 Applied Mathematical Modelling
4 Journal of Mathematical Imaging and Vision
4 Matematicheskoe Modelirovanie
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Transport Theory and Statistical Physics
3 BIT
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3 Numerical Linear Algebra with Applications
3 Engineering Analysis with Boundary Elements
3 European Journal of Mechanics. B. Fluids
3 Archives of Computational Methods in Engineering
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3 Advances in Difference Equations
3 Advances in Applied Mathematics and Mechanics
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2 Modern Physics Letters B
2 Journal of Mathematical Biology
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2 Applied Mathematics and Mechanics. (English Edition)
2 Journal of Computational Mathematics
2 COMPEL
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1 Numerical Algorithms
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1 Linear Algebra and its Applications
1 SIAM Review
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