# zbMATH — the first resource for mathematics

## International Journal for Numerical Methods in Fluids

 Short Title: Int. J. Numer. Methods Fluids Publisher: Wiley, Chichester ISSN: 0271-2091; 1097-0363/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363
 Documents Indexed: 4,714 Publications (since 1981) References Indexed: 4,114 Publications with 102,166 References.
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#### Latest Issues

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#### Authors

 45 Tezduyar, Tayfun E. 37 Carey, Graham Francis 35 Hayat, Tasawar 35 Kawahara, Mutsuto 27 Khayat, Roger E. 27 Shu, Chang 25 Codina, Ramon 22 Habashi, Wagdi G. 21 Navon, Ionel Michael 20 Garcia-Navarro, Pilar 20 Oñate Ibáñez de Navarra, Eugenio 19 Gresho, Philip M. 19 Sheu, Tony Wen-Hann 18 Weatherill, Nigel P. 17 Borthwick, Alistair G. L. 17 Fortin, Michel 17 Löhner, Rainald 16 Toro, Eleuterio F. 15 Mittal, Sanjay 15 Ramos, Juan I. 15 Shyy, Wei 14 Coutinho, Alvaro L. G. A. 14 Drikakis, Dimitris 14 Hassan, Oubay 14 Idelsohn, Sergio Rodolfo 14 Turek, Stefan 14 Webster, Michael F. 14 Westerink, Joannes J. 13 Casulli, Vincenzo 13 Sagaut, Pierre 13 Sherwin, Spencer J. 13 Smolarkiewicz, Piotr K. 12 Christon, Mark A. 12 Jimack, Peter K. 12 Pironneau, Olivier 12 Stansby, Peter K. 12 Zienkiewicz, Olgierd Cecil 11 Allen, Christian B. 11 Denaro, Filippo Maria 11 Dervieux, Alain 11 Giannakoglou, Kyriakos C. 11 Guinot, Vincent 11 Huerta, Antonio 11 Ilinca, Florin 11 Murillo, Javier 11 Pain, Christopher C. 11 Stelling, Guus S. 11 Tanguy, Philippe A. 11 Vuik, Cornelis 11 Wall, Wolfgang A. 11 Wille, Sven Øivind 10 Barakos, George N. 10 Causon, D. M. 10 Chew, Yong-Tian 10 Edwards, Michael G. 10 Le Roux, Daniel Y. 10 Lee, Thong-See 10 Minev, Peter Dimitrov 10 Nakahashi, Kazuhiro 10 Nithiarasu, Perumal 10 Sani, Robert L. 10 Siikonen, Timo 10 Stern, Fred 9 Bonaventura, Luca 9 Carrica, Pablo M. 9 Gaitonde, Ann L. 9 Glaister, Paul 9 John, Volker 9 Lee, Joon Sang 9 Liang, Qiuhua 9 Low, Hong-Tong 9 McKee, Sean 9 Nichols, Nancy K. 9 Pelletier, Dominique H. 9 Phillips, Timothy N. 9 Reddy, Junuthula Narasimha 9 Takizawa, Kenji 9 Tsangaris, Sokrates 8 Abgrall, Rémi 8 Baker, Allen J. 8 Barron, Ronald M. 8 Bergeles, George C. 8 Berzins, Martin 8 Caltagirone, Jean-Paul 8 Camarero, Ricardo 8 Durst, Franz 8 Fang, Fangxin 8 Fernandes Pereira, José Carlos 8 Fletcher, Clive A. J. 8 Fortin, André 8 Glowinski, Roland 8 Hafez, Mohamed M. 8 Jameson, Antony 8 Kashiyama, Kazuo 8 Liao, Shijun 8 Lien, Fue-Sang 8 Mingham, C. G. 8 Mohammadi, Bijan 8 Mose, Robert 8 Nadeem, Sohail ...and 6,137 more Authors
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#### Fields

 4,512 Fluid mechanics (76-XX) 1,100 Numerical analysis (65-XX) 348 Classical thermodynamics, heat transfer (80-XX) 322 Geophysics (86-XX) 203 Partial differential equations (35-XX) 150 Mechanics of deformable solids (74-XX) 112 Biology and other natural sciences (92-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 General and overarching topics; collections (00-XX) 22 Optics, electromagnetic theory (78-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Systems theory; control (93-XX) 11 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Astronomy and astrophysics (85-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

3,579 Publications have been cited 31,630 times in 17,428 Documents Cited by Year
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Liu, Wing Kam; Jun, Sukky; Zhang, Yi Fei
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Natural convection of air in a square cavity: A bench mark numerical solution. Zbl 0538.76075
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1983
Computation of moving boundaries and interfaces and stabilization parameters. Zbl 1032.76605
Tezduyar, Tayfun E.
2003
Modelling of fluid-structure interactions with the space-time finite elements: Solution techniques. Zbl 1144.74044
Tezduyar, Tayfun E.; Sathe, Sunil
2007
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016
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1996
Application of generalized differential quadrature to solve two- dimensional incompressible Navier-Stokes equations. Zbl 0762.76085
Shu, Chang; Richards, Bryan E.
1992
A contribution to the great Riemann solver debate. Zbl 0794.76061
Quirk, James J.
1994
Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Zbl 1071.76038
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2005
Volume-tracking methods for interfacial flow calculations. Zbl 0889.76069
Rudman, Murray
1997
A front-tracking algorithm for accurate representation of surface tension. Zbl 0940.76047
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1999
3D simulation of wind turbine rotors at full scale. II: Fluid–structure interaction modeling with composite blades. Zbl 1428.76087
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2011
On pressure boundary conditions for the incompressible Navier-Stokes equations. Zbl 0644.76025
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1987
Curvature-compensated convective transport: Smart, a new boundedness- preserving transport algorithm. Zbl 0668.76118
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1988
Topology optimization of fluids in Stokes flow. Zbl 1025.76007
2003
A general algorithm for compressible and incompressible flow. I: The split, characteristic-based scheme. Zbl 0837.76043
Zienkiewicz, O. C.; Codina, R.
1995
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds. Zbl 1134.76326
Veroy, K.; Patera, A. T.
2005
A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060
Li, Ming; Tang, Tao; Fornberg, Bengt
1995
Numerical analysis of breaking waves using the moving particle semi-implicit method. Zbl 0928.76086
Koshizuka, Seiichi; Nobe, Atsushi; Oka, Yoshiaki
1998
3D simulation of wind turbine rotors at full scale. I: Geometry modeling and aerodynamics. Zbl 1428.76086
Bazilevs, Y.; Hsu, M.-C.; Akkerman, I.; Wright, S.; Takizawa, K.; Henicke, B.; Spielman, T.; Tezduyar, T. E.
2011
A stabilized finite element method for the Stokes problem based on polynomial pressure projections. Zbl 1060.76569
Dohrmann, Clark R.; Bochev, Pavel B.
2004
A single cell high order scheme for the convection-diffusion equation with variable coefficients. Zbl 0545.76096
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1984
A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations. Zbl 0766.76067
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1993
A discontinuous $$hp$$ finite element method for the Euler and Navier-Stokes equations. Zbl 0985.76048
Baumann, Carlos Erik; Oden, J. Tinsley
1999
An approximate projection scheme for incompressible flow using spectral elements. Zbl 0865.76070
Timmermans, L. J. P.; Minev, P. D.; van de Vosse, F. N.
1996
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. I: Theory. Zbl 0712.76035
Gresho, Philip M.
1990
Natural convection in a square cavity: A comparison exercise. Zbl 0538.76076
de Vahl Davis, G.; Jones, I. P.
1983
Mixed explicit/implicit time integration of coupled aeroelastic problems: Three-field formulation, geometric conservation and distributed solution. Zbl 0865.76038
Farhat, Charbel; Lesoinne, Michel; Maman, Nathan
1995
Simulating surface tension with smoothed particle hydrodynamics. Zbl 0985.76072
Morris, Joseph P.
2000
Wavelet and multiple scale reproducing kernel methods. Zbl 0885.76078
Liu, Wing Kam; Chen, Yijung
1995
ELAFINT: A mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries. Zbl 0887.76059
Udaykumar, H. S.; Shyy, W.; Rao, M.
1996
Some fast 3D finite element solvers for the generalized Stokes problem. Zbl 0665.76038
Cahouet, J.; Chabard, J.-P.
1988
Modelling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics. Zbl 1276.76043
Tezduyar, Tayfun E.; Sathe, Sunil; Cragin, Timothy; Nanna, Bryan; Conklin, Brian S.; Pausewang, Jason; Schwaab, Matthew
2007
Parallel finite element simulation of 3D incompressible flows: Fluid-structure interactions. Zbl 0873.76047
Mittal, S.; Tezduyar, T. E.
1995
Simple high-accuracy resolution program for convective modelling of discontinuities. Zbl 0667.76125
Leonard, B. P.
1988
A volume-tracking method for incompressible multifluid flows with large density variations. Zbl 0915.76060
Rudman, Murray
1998
Old and new finite elements for incompressible flows. Zbl 0467.76030
Fortin, Michel
1981
Finite element flux-corrected transport (FEM-FCT) for the Euler and Navier-Stokes equations. Zbl 0633.76070
Löhner, Rainald; Morgan, Ken; Peraire, Jaime; Vahdati, Mehdi
1987
Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection. Zbl 1047.76080
Scardovelli, Ruben; Zaleski, Stephane
2003
Generation of three-dimensional unstructured grids by the advancing-front method. Zbl 0668.76035
Löhner, Rainald; Parikh, Paresh
1988
A numerical model for the flooding and drying of irregular domains. Zbl 1094.76538
Brufau, P.; Vázquez-Cendón, M. E.; García-Navarro, P.
2002
Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Zbl 1085.76510
John, Volker
2004
Low-Reynolds-number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition. Zbl 0910.76067
Sohankar, A.; Norberg, C.; Davidson, L.
1998
A reduced-order approach for optimal control of fluids using proper orthogonal decomposition. Zbl 1005.76020
Ravindran, S. S.
2000
A fictitious domain/mortar element method for fluid-structure interaction. Zbl 0979.76044
Baaijens, Frank P. T.
2001
Space–time finite element computation of complex fluid–structure interactions. Zbl 1427.76148
Tezduyar, Tayfun E.; Takizawa, Kenji; Moorman, Creighton; Wright, Samuel; Christopher, Jason
2010
Semi-implicit finite difference methods for three-dimensional shallow water flow. Zbl 0762.76068
Casulli, Vincenzo; Cheng, Ralph T.
1992
The solution of nonlinear hyperbolic equation systems by the finite element method. Zbl 0551.76002
Löhner, R.; Morgan, K.; Zienkiewicz, O. C.
1984
IsoGeometric analysis: Stable elements for the 2D Stokes equation. Zbl 1429.76044
Buffa, A.; De Falco, C.; Sangalli, G.
2011
Résumé and remarks on the open boundary condition minisymposium. Zbl 0806.76072
Sani, R. L.; Gresho, P. M.
1994
Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057
Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O.
1997
Fictiuous domain approach for numerical modelling of Navier-Stokes equations. Zbl 1032.76041
Khadra, Khodor; Angot, Philippe; Parneix, Sacha; Caltagirone, Jean-Paul
2000
Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique. Zbl 1230.76054
Tezduyar, Tayfun E.; Sathe, Sunil; Schwaab, Matthew; Conklin, Brian S.
2008
On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. II: Implementation. Zbl 0712.76036
Gresho, Philip M.; Chan, Stevens T.
1990
A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160
van der Pijl, S. P.; Segal, A.; Vuik, C.; Wesseling, P.
2005
$$YZ\beta$$ discontinuity capturing for advection-dominated processes with application to arterial drug delivery. Zbl 1207.76049
Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R.
2007
A multi-block lattice Boltzmann method for viscous fluid flows. Zbl 1036.76051
Yu, Dazhi; Mei, Renwei; Shyy, Wei
2002
On stability and convergence of projection methods based on pressure Poisson equation. Zbl 0912.76054
Guermond, J.-L.; Quartapelle, L.
1998
A fully nonlinear model for three-dimensional overturning waves over an arbitrary bottom. Zbl 1039.76043
Grilli, Stéphan T.; Guyenne, Philippe; Dias, Frédéric
2001
Exact fully 3D Navier-Stokes solutions for benchmarking. Zbl 0814.76031
Ethier, C. Ross; Steinman, D. A.
1994
A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients. Zbl 1094.76546
Kalita, Jiten C.; Dalal, D. C.; Dass, Anoop K.
2002
A simple algebraic interface capturing scheme using hyperbolic tangent function. Zbl 1072.76046
Xiao, F.; Honma, Y.; Kono, T.
2005
High resolution NVD differencing scheme for arbitrarily unstructured meshes. Zbl 0952.76057
Jasak, H.; Weller, H. G.; Gosman, A. D.
1999
A coupled lattice BGK model for the Boussinesq equations. Zbl 1014.76071
Guo, Zhaoli; Shi, Baochang; Zheng, Chuguang
2002
Finite volume multigrid prediction of laminar natural convection: Bench- mark solutions. Zbl 0711.76072
Hortmann, M.; Perić, M.; Scheuerer, G.
1990
Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations. Zbl 0638.76080
Hughes, Thomas J. R.
1987
Is the steady viscous incompressible two-dimensional flow over a backward-facing step at $$Re=800$$ stable? Zbl 0784.76050
Gresho, Philip M.; Gartling, David K.; Torczynski, J. R.; Cliffe, K. A.; Winters, K. H.; Garratt, T. J.; Spence, A.; Goodrich, John W.
1993
Direct optimal growth analysis for timesteppers. Zbl 1144.76044
Barkley, D.; Blackburn, H. M.; Sherwin, S. J.
2008
Anisotropic mesh adaption: Towards user-independent, mesh-independent and solver-independent CFD. I: General principles. Zbl 0981.76052
Habashi, Wagdi G.; Dompierre, Julien; Bourgault, Yves; Ait-Ali-Yahia, Djaffar; Fortin, Michel; Vallet, Marie-Gabrielle
2000
A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. Zbl 0990.76048
Whiting, Christian H.; Jansen, Kenneth E.
2001
A semi-implicit finite difference method for non-hydrostatic, free-surface flows. Zbl 0944.76050
Casulli, Vincenzo
1999
Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes. Zbl 0886.76064
Anastasiou, K.; Chan, C. T.
1997
Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system. Zbl 1032.76729
Sherwin, S. J.; Formaggia, L.; Peiró, J.; Franke, V.
2003
A high-order characteristics/finite element method for the incompressible Navier-Stokes equations. Zbl 0904.76040
Boukir, K.; Maday, Y.; Métivet, B.; Razafindrakoto, E.
1997
Finite volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundaries. Zbl 0697.76038
Demirdžić, I.; Perić, M.
1990
The characteristic-based-split procedure: An efficient and accurate algorithm for fluid problems. Zbl 0985.76069
Zienkiewicz, O. C.; Nithiarasu, P.; Codina, R.; Vázquez, M.; Ortiz, P.
1999
Space conservation law in finite volume calculations of fluid flow. Zbl 0647.76018
Demirdžić, I.; Perić, M.
1988
Large eddy simulation of the subcritical flow past a circular cylinder: Numerical and modelling aspects. Zbl 0933.76041
Breuer, M.
1998
A collocated finite volume method for predicting flows at all speeds. Zbl 0774.76066
Demirdžić, I.; Lilek, Ž.; Perić, M.
1993
A new implicit surface tension implementation for interfacial flows. Zbl 1158.76350
Hysing, S.
2006
Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks. Zbl 1047.76101
Mai-Duy, Nam; Tran-Cong, Thanh
2001
The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. I. Zbl 0461.76021
Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.
1981
A convergent and universally bounded interpolation scheme for the treatment of advection. Zbl 1025.76024
Alves, M. A.; Oliveira, P. J.; Pinho, F. T.
2003
Higher-order finite element discretizations in a benchmark problem for incompressible flows. Zbl 1007.76040
John, Volker; Matthies, Gunar
2001
Parallel computation of incompressible flows with complex geometries. Zbl 0882.76044
Johnson, A. A.; Tezduyar, T. E.
1997
Explicit/implicit fluid structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations. Zbl 0910.76065
Piperno, Serge
1997
Patient-specific arterial fluid–structure interaction modeling of cerebral aneurysms. Zbl 1203.92044
Takizawa, Kenji; Moorman, Creighton; Wright, Samuel; Purdue, John; McPhail, Travis; Chen, Peng R.; Warren, Joe; Tezduyar, Tayfun E.
2011
A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition. Zbl 1370.86002
Cao, Yanhua; Zhu, Jiang; Navon, I. M.; Luo, Zhendong
2007
Superconvergence and $$H(div)$$ projection for discontinuous Galerkin methods. Zbl 1030.76026
Bastian, Peter; Rivière, Béatrice
2003
A new outflow boundary condition. Zbl 0747.76039
Papanastasiou, T. C.; Malamataris, N.; Ellwood, K.
1992
Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions. Zbl 0806.76055
Barakos, G.; Mitsoulis, E.; Assimacopoulos, D.
1994
A general algorithm for compressible and incompressible flows. III: The semi-implicit form. Zbl 0914.76050
Codina, R.; Vázquez, M.; Zienkiewicz, O. C.
1998
An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations. Zbl 1059.76046
Kim, Kyoungyoun; Baek, Seung-Jin; Sung, Hyung Jin
2002
An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations. Zbl 0932.76065
Hugues, Sandrine; Randriamampianina, Anthony
1998
Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows. Zbl 0939.76060
Gamet, L.; Ducros, F.; Nicoud, F.; Poinsot, T.
1999
An unstructured grid three-dimensional model based on the shallow water equations. Zbl 0965.76061
Casulli, Vincenzo; Walters, Roy A.
2000
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
2005
Fluid–structure interaction modeling of parachute clusters. Zbl 1426.76312
Takizawa, Kenji; Wright, Samuel; Moorman, Creighton; Tezduyar, Tayfun E.
2011
A modified finite element method for solving the time-dependent, incompressible Navier-Stokes equations. I: Theory. Zbl 0559.76030
Gresho, Philip M.; Chan, Stevens T.; Lee, Robert L.; Upson, Craig D.
1984
Generating exact solutions of the two-dimensional Burgers equations. Zbl 0563.76082
Fletcher, Clive A. J.
1983
Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. Zbl 1455.76099
Xiao, D.; Fang, F.; Pain, C.; Hu, G.
2015
A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. Zbl 1455.76034
Bukač, M.; Čanić, S.; Glowinski, R.; Muha, B.; Quaini, A.
2014
A compressible single-temperature conservative two-phase model with phase transitions. Zbl 1455.76114
La Spina, G.; de&rsquo; Michieli Vitturi, M.; Romenski, E.
2014
Stability of a Crank-Nicolson pressure correction scheme based on staggered discretizations. Zbl 1455.76080
Boyer, F.; Dardalhon, F.; Lapuerta, C.; Latché, J.-C.
2014
Polygonal finite elements for incompressible fluid flow. Zbl 1455.76095
Talischi, Cameron; Pereira, Anderson; Paulino, Glaucio H.; Menezes, Ivan F. M.; Carvalho, Márcio S.
2014
Erratum to: “SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies”. Zbl 1455.76004
Delestre, Olivier; Lucas, Carine; Ksinant, Pierre-Antoine; Darboux, Frédéric; Laguerre, Christian; Vo, T.-N.-Tuoi; James, François; Cordier, Stéphane
2014
On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies. Zbl 1455.65203
Queiroz, L. E. S.; Souza, M. R. A.; Contreras, F. R. L.; Lyra, P. R. M.; de Carvalho, D. K. E.
2014
An SPH model for free surface flows with moving rigid objects. Zbl 1455.76041
Liu, M. B.; Shao, J. R.; Li, H. Q.
2014
A finite element formulation for global linear stability analysis of a nominally two-dimensional base flow. Zbl 1455.76090
Mittal, Sanjay; Gs, Sidharth; Verma, Abhishek
2014
A heterogeneous modeling method for porous media flows. Zbl 1455.76181
Hlepas, Georgette; Truster, Timothy; Masud, Arif
2014
Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes. Zbl 1455.65161
De Grazia, D.; Mengaldo, G.; Moxey, D.; Vincent, P. E.; Sherwin, S. J.
2014
On unconditionally positive implicit time integration for the DG scheme applied to shallow water flows. Zbl 1455.65173
Meister, A.; Ortleb, S.
2014
A nodal Godunov method for Lagrangian shock hydrodynamics on unstructured tetrahedral grids. Zbl 1455.65183
Waltz, J.; Morgan, N. R.; Canfield, T. R.; Charest, M. R. J.; Wohlbier, J. G.
2014
A simple SPH algorithm for multi-fluid flow with high density ratios. Zbl 1430.76400
Monaghan, J. J.; Rafiee, Ashkan
2013
Efficient augmented Lagrangian-type preconditioning for the Oseen problem using Grad-Div stabilization. Zbl 1430.76115
Heister, Timo; Rapin, Gerd
2013
An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow. Zbl 1430.76364
Heimann, F.; Engwer, C.; Ippisch, O.; Bastian, P.
2013
Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method. Zbl 1430.76303
Ferrand, M.; Laurence, D. R.; Rogers, B. D.; Violeau, D.; Kassiotis, C.
2013
Numerical simulation of a single rising bubble by VOF with surface compression. Zbl 1430.76119
Klostermann, Jens; Schaake, K.; Schwarze, R.
2013
Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Zbl 1431.65173
Kuzmin, Dmitri
2013
Finite element assembly strategies on multi-core and many-core architectures. Zbl 1431.65217
Markall, G. R.; Slemmer, A.; Ham, D. A.; Kelly, P. H. J.; Cantwell, C. D.; Sherwin, S. J.
2013
Review of wetting and drying algorithms for numerical tidal flow models. Zbl 1430.86007
Medeiros, Stephen C.; Hagen, Scott C.
2013
Finite volume methods for unidirectional dispersive wave models. Zbl 1431.65143
Dutykh, D.; Katsaounis, Th.; Mitsotakis, D.
2013
Comparative study of implicit and subgrid-scale model large-eddy simulation techniques for low-Reynolds number airfoil applications. Zbl 1430.76304
Garmann, Daniel J.; Visbal, Miguel R.; Orkwis, Paul D.
2013
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
2013
Numerical simulation of orbitally shaken viscous fluids with free surface. Zbl 1430.76113
Discacciati, Marco; Hacker, David; Quarteroni, Alfio; Quinodoz, Samuel; Tissot, Stéphanie; Wurm, Florian M.
2013
Large eddy simulation and a simple wall model for turbulent flow calculation by a particle method. Zbl 1430.76297
Arai, Jun; Koshizuka, Seiichi; Murozono, Koji
2013
An implicit meshless method for application in computational fluid dynamics. Zbl 1431.65186
Kennett, D. J.; Timme, S.; Angulo, J.; Badcock, K. J.
2013
An improved MUSCL treatment for the SPH-ALE method: comparison with the standard SPH method for the jet impingement case. Zbl 1431.65145
Koukouvinis, Phoevos K.; Anagnostopoulos, John S.; Papantonis, Dimitris E.
2013
An efficient very large eddy simulation model for simulation of turbulent flow. Zbl 1430.76306
Han, Xingsi; Krajnović, Siniša
2013
Simulation of the Navier-Stokes equations in three dimensions with a spectral collocation method. Zbl 1455.65196
Subich, Christopher J.; Lamb, Kevin G.; Stastna, Marek
2013
A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes. Zbl 1455.76027
Zhou, Feng; Chen, Guoxian; Noelle, Sebastian; Guo, Huaicheng
2013
The multidimensional optimal order detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems. Zbl 1455.65147
Diot, S.; Loubère, R.; Clain, S.
2013
A design of residual error estimates for a high order BDF-DGFE method applied to compressible flows. Zbl 1455.65164
Dolejší, V.
2013
Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. Zbl 1455.65207
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2013
An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow. Zbl 1455.76085
Hussain, S.; Schieweck, F.; Turek, S.
2013
Modeling and simulation of three-dimensional extrusion swelling of viscoelastic fluids with PTT, Giesekus and FENE-P constitutive models. Zbl 1455.76015
Mu, Yue; Zhao, Guoqun; Chen, Anbiao; Wu, Xianghong
2013
Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows. Zbl 1431.65178
Seny, B.; Lambrechts, J.; Comblen, R.; Legat, V.; Remacle, J.-f.
2013
Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances. Zbl 1430.76356
Alekseev, A. K.; Navon, I. M.
2013
Residual-based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods. Zbl 1430.76314
Nazarov, Murtazo; Hoffman, Johan
2013
A computational method for geometric optimization of enhanced heat transfer devices based upon entropy generation minimization. Zbl 1430.80005
Betchen, Lee J.; Straatman, Anthony G.
2013
An efficient algorithm based on the differential quadrature method for solving Navier-Stokes equations. Zbl 1430.76124
Meraji, S. Hamed; Ghaheri, Abbas; Malekzadeh, Parviz
2013
A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics. Zbl 1431.65142
Delis, A. I.; Nikolos, I. K.
2013
Analysis of the anisotropy of group velocity error due to spatial finite difference schemes from the solution of the 2D linear Euler equations. Zbl 1430.76385
Stegeman, P. C.; Young, M. E.; Soria, J.; Ooi, A.
2013
A correction for balancing discontinuous bed slopes in two-dimensional smoothed particle hydrodynamics shallow water modeling. Zbl 1430.76080
Vacondio, Renato; Rogers, B. D.; Stansby, P. K.; Mignosa, P.
2013
A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374
Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude
2013
A numerical investigation of wall effects in three-dimensional, laminar flow over a backward facing step with a constant aspect and expansion ratio. Zbl 1430.76122
Malamataris, N. A.
2013
Bubble collapse in compressible fluids using a spectral element marker particle method. II: Viscoelastic fluids. Zbl 1430.76040
Lind, S. J.; Phillips, T. N.
2013
Numerical approximation of parabolic problems by residual distribution schemes. Zbl 1431.65211
Abgrall, R.; Baurin, G.; Krust, A.; De Santis, D.; Ricchiuto, M.
2013
A Cartesian cut cell free surface capturing method for 3D water impact problems. Zbl 1430.76062
Hu, Z. Z.; Causon, D. M.; Mingham, C. G.; Qian, L.
2013
A new TVD method for advection simulation on 2D unstructured grids. Zbl 1431.65144
Hou, Jingming; Simons, F.; Hinkelmann, R.
2013
An ALE finite element method for a coupled Stefan problem and Navier-Stokes equations with free capillary surface. Zbl 1431.65168
Bänsch, Eberhard; Paul, Jordi; Schmidt, Alfred
2013
Adaptive variational multiscale method for the Stokes equations. Zbl 1430.76367
Song, Lina; Hou, Yanren; Zheng, Haibiao
2013
Convergence issues in using high-resolution schemes and lower-upper symmetric Gauss-Seidel method for steady shock-induced combustion problems. Zbl 1430.80012
Li, Bin; Yuan, Li
2013
Optimization of unsteady incompressible Navier-Stokes flows using variational level set method. Zbl 1430.76111
Deng, Yongbo; Zhang, Ping; Liu, Yongshun; Wu, Yihui; Liu, Zhenyu
2013
Two-dimensional non-Newtonian injection molding with a new control volume FEM/volume of fluid method. Zbl 1430.76035
Salinas, Carlos; Vasco, Diego A.; Moraga, Nelson O.
2013
An immersed boundary method wall model for high-Reynolds-number channel flow over complex topography. Zbl 1430.76295
Anderson, William
2013
About the formulation, verification and validation of the hypersonic flow solver Eilmer. Zbl 1455.76073
Gollan, R. J.; Jacobs, P. A.
2013
Two-dimensional two-layer shallow water model for dam break flows with significant bed load transport. Zbl 1455.76025
Swartenbroekx, Catherine; Zech, Yves; Soares-Frazão, Sandra
2013
SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies. Zbl 1455.76005
Delestre, Olivier; Lucas, Carine; Ksinant, Pierre-Antoine; Darboux, Frédéric; Laguerre, Christian; Vo, T.-N.-Tuoi; James, François; Cordier, Stéphane
2013
SPH for 3D floating bodies using variable mass particle distribution. Zbl 1455.76149
Omidvar, Pourya; Stansby, Peter K.; Rogers, Benedict D.
2013
Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow. Zbl 1455.76083
Hartmann, Ralf
2013
An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows. Zbl 1455.76103
Benkhaldoun, Fayssal; Elmahi, Imad; Sari, Saida; Seaid, Mohammed
2013
Improved error and work estimates for high-order elements. Zbl 1455.76089
Löhner, Rainald
2013
Hybridizable discontinuous Galerkin $$p$$-adaptivity for wave propagation problems. Zbl 1455.65211
Giorgiani, Giorgio; Fernández-Méndez, Sonia; Huerta, Antonio
2013
A simple shock-capturing technique for high-order discontinuous Galerkin methods. Zbl 1253.76058
Huerta, Antonio; Casoni, E.; Peraire, Jaime
2012
Spurious currents in finite element based level set methods for two-phase flow. Zbl 1253.76066
Zahedi, Sara; Kronbichler, Martin; Kreiss, Gunilla
2012
Wave body interaction in 2D using smoothed particle hydrodynamics (SPH) with variable particle mass. Zbl 1427.76190
Omidvar, Pourya; Stansby, Peter K.; Rogers, Benedict D.
2012
Incompressible smoothed particle hydrodynamics simulation of multifluid flows. Zbl 1253.76107
Shao, Songdong
2012
A consistent and fast weakly compressible smoothed particle hydrodynamics with a new wall boundary condition. Zbl 1237.76136
Fatehi, R.; Manzari, M. T.
2012
Finite element framework for describing dynamic wetting phenomena. Zbl 1309.76132
Sprittles, J. E.; Shikhmurzaev, Y. D.
2012
Accurate particle splitting for smoothed particle hydrodynamics in shallow water with shock capturing. Zbl 1253.76108
Vacondio, R.; Rogers, Benedict D.; Stansby, Peter K.
2012
$$\mathcal H$$-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems. Zbl 1426.76224
Börm, Steffen; Le Borne, Sabine
2012
Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow. Zbl 1412.76060
Besier, Michael; Rannacher, Rolf
2012
On the use of sensitivity analysis in model reduction to predict flows for varying inflow conditions. Zbl 1426.76267
Hay, Alexander; Akhtar, Imran; Borggaard, Jeff T.
2012
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
A locally conservative, discontinuous least-squares finite element method for the Stokes equations. Zbl 1342.76072
Bochev, Pavel; Lai, James; Olson, Luke
2012
Combining a level-set method and a mixed stabilized P1/P1 formulation for coupling Stokes-Darcy flows. Zbl 1245.76108
Pacquaut, G.; Bruchon, J.; Moulin, N.; Drapier, S.
2012
Simulation of three-dimensional flows over moving objects by an improved immersed boundary-lattice Boltzmann method. Zbl 1427.76194
Wu, J.; Shu, Chang
2012
Smoothed particle hydrodynamics: Approximate zero-consistent 2-D boundary conditions and still shallow-water tests. Zbl 1427.76193
Vacondio, R.; Rogers, B. D.; Stansby, P. K.
2012
Boundary layer flow of a Jeffrey fluid with convective boundary conditions. Zbl 1253.76033
2012
Numerical continuation of high Reynolds number external flows. Zbl 1426.76435
Wales, C.; Gaitonde, A. L.; Jones, D. P.; Avitabile, D.; Champneys, A. R.
2012
Coupling the lattice-Boltzmann and spectrin-link methods for the direct numerical simulation of cellular blood flow. Zbl 1242.92020
Reasor, Daniel A. jun.; Clausen, Jonathan R.; Aidun, Cyrus K.
2012
Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Zbl 1237.76027
Guermond, J. L.; Minev, P. D.
2012
Cahn-Hilliard modeling of particles suspended in two-phase flows. Zbl 1253.76055
Choi, Young Joon; Anderson, Patrick D.
2012
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
2012
A family of multi-point flux approximation schemes for general element types in two and three dimensions with convergence performance. Zbl 1253.76125
Pal, Mayur; Edwards, Michael G.
2012
A massively parallel GPU-accelerated model for analysis of fully nonlinear free surface waves. Zbl 1253.76009
Engsig-Karup, A. P.; Madsen, Morten G.; Glimberg, Stefan L.
2012
Variational data assimilation using targetted random walks. Zbl 1426.76629
Cotter, S. L.; Dashti, M.; Stuart, A. M.
2012
A high-order finite difference method for numerical simulations of supersonic turbulent flows. Zbl 1426.76477
2012
A ghost fluid lattice Boltzmann method for complex geometries. Zbl 1245.76123
Tiwari, A.; Vanka, S. P.
2012
High-order $$k$$-exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids. Zbl 1412.76041
Li, Wanai; Ren, Yu-Xin
2012
A new enrichment space for the treatment of discontinuous pressures in multi-fluid flows. Zbl 1412.76059
Ausas, Roberto F.; Buscaglia, Gustavo C.; Idelsohn, Sergio R.
2012
An algorithm for the computation of multiple Hopf bifurcation points based on Padé approximants. Zbl 1426.76263
Girault, G.; Guevel, Y.; Cadou, J. M.
2012
A method for overcoming the surface tension time step constraint in multiphase flows. II. Zbl 1427.76223
Sussman, M.
2012
Numerical simulation of lateral migration of red blood cells in Poiseuille flows. Zbl 1302.92021
Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland
2012
Three-dimensional wave impact on a rigid structure using smoothed particle hydrodynamics. Zbl 1254.76118
Cummins, Sharen J.; Silvester, T. B.; Cleary, Paul W.
2012
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes. Zbl 1253.76022
Besier, Michael; Wollner, Winnifried
2012
Computational algorithms for tracking dynamic fluid-structure interfaces in embedded boundary methods. Zbl 1412.74035
Wang, K.; Grétarsson, J.; Main, A.; Farhat, C.
2012
Adaptive non-conformal mesh refinement and extended finite element method for viscous flow inside complex moving geometries. Zbl 1426.76256
Fard, A. Sarhangi; Hulsen, M. A.; Meijer, H. E. H.; Famili, N. M. H.; Anderson, P. D.
2012
Comparison of outflow boundary conditions for subsonic aeroacoustic simulations. Zbl 1426.76412
P., A. Fosso; Deniau, H.; Lamarque, N.; Poinsot, T.
2012
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#### Cited by 20,820 Authors

 163 Tezduyar, Tayfun E. 87 Bazilevs, Yuri 87 Takizawa, Kenji 81 Oñate Ibáñez de Navarra, Eugenio 79 Codina, Ramon 71 Liu, Wing Kam 68 Liu, Gui-Rong 64 Dumbser, Michael 63 Hayat, Tasawar 62 Hughes, Thomas J. R. 59 Dehghan Takht Fooladi, Mehdi 57 Wall, Wolfgang A. 56 Rebholz, Leo G. 54 Sheu, Tony Wen-Hann 54 Shu, Chang 50 Idelsohn, Sergio Rodolfo 48 Seaïd, Mohammed 47 Sagaut, Pierre 46 Farhat, Charbel H. 43 Chen, Jiun-Shyan 42 He, Yinnian 42 Quarteroni, Alfio M. 41 Löhner, Rainald 40 Hsu, Ming-Chen 39 Liew, Kim Meow 38 Zhang, Jun 37 Guermond, Jean-Luc 37 John, Volker 36 Navon, Ionel Michael 36 Pain, Christopher C. 36 Shu, Chi-Wang 35 Dawson, Clint N. 35 Luo, Zhendong 35 Toro, Eleuterio F. 34 Nithiarasu, Perumal 33 Mittal, Sanjay 33 Rozza, Gianluigi 32 Huerta, Antonio 32 Khoo, Boo Cheong 32 Shyy, Wei 32 Turek, Stefan 31 Carey, Graham Francis 31 Karniadakis, George Em 31 Sherwin, Spencer J. 30 Drikakis, Dimitris 30 Garcia-Navarro, Pilar 30 Kuzmin, Dmitri 30 Shashkov, Mikhail J. 30 Webster, Michael F. 29 Loubère, Raphaël 29 Scovazzi, Guglielmo 29 Tezer-Sezgin, Munevver 28 Abgrall, Rémi 28 Adams, Nikolaus A. 28 Al-saedi, Ahmed Eid Salem 28 Dick, Erik 28 Olshanskii, Maxim A. 27 Feng, Xinlong 27 Giraldo, Francis X. 27 Kawahara, Mutsuto 27 Masud, Arif 27 Shadid, John N. 27 Smolarkiewicz, Piotr K. 27 Xiao, Feng 26 Belytschko, Ted Bohdan 26 Glowinski, Roland 26 Gravemeier, Volker 26 Sung, Hyung Jin 26 Xu, Kun 25 Andersson, Helge I. 25 Geurts, Bernard J. 25 Ouyang, Jie 24 Edwards, Michael G. 24 Minev, Peter Dimitrov 24 Ricchiuto, Mario 23 Bijl, Hester 23 Cai, Xiao-Chuan 23 Coutinho, Alvaro L. G. A. 23 Durst, Franz 23 Li, Jian 23 Murillo, Javier 23 Reddy, Junuthula Narasimha 23 Storti, Mario Alberto 23 Wang, Dongdong 22 Chew, Yong-Tian 22 Kalita, Jiten C. 22 Maire, Pierre-Henri 22 Patera, Anthony T. 22 Power, Henry 22 Ramos, Juan I. 22 Zienkiewicz, Olgierd Cecil 21 Ariel, P. Donald 21 Bochev, Pavel B. 21 Calo, Victor Manuel 21 Dolejší, Vít 21 Giannakoglou, Kyriakos C. 21 Gunzburger, Max D. 21 Rabczuk, Timon 21 Ravnik, Jure 21 Shi, Baochang ...and 20,720 more Authors
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 2,509 Journal of Computational Physics 1,814 Computers and Fluids 1,688 Computer Methods in Applied Mechanics and Engineering 1,018 International Journal for Numerical Methods in Fluids 654 Journal of Fluid Mechanics 500 Computers & Mathematics with Applications 490 Engineering Analysis with Boundary Elements 464 International Journal for Numerical Methods in Engineering 414 Applied Mathematical Modelling 406 Computational Mechanics 362 Journal of Computational and Applied Mathematics 361 Physics of Fluids 354 Applied Mathematics and Computation 347 Journal of Scientific Computing 286 Applied Numerical Mathematics 264 International Journal of Numerical Methods for Heat & Fluid Flow 243 International Journal of Computational Fluid Dynamics 223 European Journal of Mechanics. B. Fluids 192 International Journal of Heat and Mass Transfer 161 SIAM Journal on Scientific Computing 158 Communications in Numerical Methods in Engineering 122 Mathematical Problems in Engineering 115 International Journal of Computational Methods 110 Computational Geosciences 106 Numerical Methods for Partial Differential Equations 98 Acta Mechanica 98 Mathematics and Computers in Simulation 89 Numerische Mathematik 84 Mathematics of Computation 79 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 77 Applied Mathematics and Mechanics. (English Edition) 74 Mathematical and Computer Modelling 73 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 73 Acta Mechanica Sinica 71 SIAM Journal on Numerical Analysis 65 International Journal of Computer Mathematics 64 Theoretical and Computational Fluid Dynamics 64 Flow, Turbulence and Combustion 63 Journal of Engineering Mathematics 63 Archives of Computational Methods in Engineering 61 Journal of Non-Newtonian Fluid Mechanics 61 Communications in Nonlinear Science and Numerical Simulation 59 Meccanica 55 International Journal for Numerical Methods in Biomedical Engineering 53 Advances in Computational Mathematics 49 Engineering Computations 48 Computer Physics Communications 48 Numerical Algorithms 48 Journal of Applied Mathematics 47 Journal of Mathematical Analysis and Applications 40 Fluid Dynamics 38 Applied Mathematics Letters 36 International Journal of Engineering Science 35 Wave Motion 35 Computational and Applied Mathematics 33 Mathematical Methods in the Applied Sciences 33 Journal of Turbulence 32 International Journal of Modern Physics C 31 Calcolo 31 European Journal of Mechanics. A. Solids 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 29 Sādhanā 28 Computational Mathematics and Mathematical Physics 28 International Journal of Applied and Computational Mathematics 26 Physica D 24 Computing and Visualization in Science 24 Abstract and Applied Analysis 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 AMM. Applied Mathematics and Mechanics. (English Edition) 23 Numerical Linear Algebra with Applications 22 Journal of Mathematical Fluid Mechanics 22 Structural and Multidisciplinary Optimization 21 Journal of Applied Mechanics and Technical Physics 21 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 21 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 21 Journal of Numerical Mathematics 21 Inverse Problems in Science and Engineering 20 Shock Waves 19 Applicable Analysis 19 Archive of Applied Mechanics 19 International Journal for Computational Methods in Engineering Science and Mechanics 18 Applications of Mathematics 18 Advances in Difference Equations 17 Physics of Fluids, A 17 BIT 17 Nonlinear Analysis. Real World Applications 17 Matematicheskoe Modelirovanie 16 Computing 16 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Combustion Theory and Modelling 15 Japan Journal of Industrial and Applied Mathematics 15 Journal of Computational Acoustics 14 Optimization and Engineering 13 International Journal for Numerical and Analytical Methods in Geomechanics 13 Physica A 13 RAIRO. Modélisation Mathématique et Analyse Numérique 13 Computational Optimization and Applications 13 Computational & Mathematical Methods in Medicine 13 Science China. Technological Sciences ...and 351 more Journals
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