# zbMATH — the first resource for mathematics

## Nürnberg, Robert

Compute Distance To:
 Author ID: nurnberg.robert Published as: Nürnberg, Robert; Nürnberg, R. Homepage: http://wwwf.imperial.ac.uk/~rn/ External Links: MGP · ORCID · dblp · arXiv
 Documents Indexed: 62 Publications since 2002
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#### Co-Authors

 1 single-authored 43 Barrett, John W. 39 Garcke, Harald 8 Baňas, L’ubomír 2 Römisch, Werner 2 Sacconi, Andrea 2 Styles, Vanessa 2 Tucker, Edward J. W. 1 Aland, Sebastian 1 Antonopoulou, Dimitra C. 1 Dörfler, Willibald 1 Hahn, Andreas 1 Kahle, Christian 1 Lam, Kei Fong 1 Langdon, Stephen 1 Novick-Cohen, Amy 1 Nowak, Matthias Peter 1 Prohl, Andreas 1 Schultz, Rüdiger 1 Sitka, Emanuel 1 Warner, Mark R. E. 1 Westphalen, Markus
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#### Serials

 6 IMA Journal of Numerical Analysis 6 Numerische Mathematik 5 Journal of Computational Physics 5 SIAM Journal on Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 European Journal of Applied Mathematics 3 SIAM Journal on Scientific Computing 3 Interfaces and Free Boundaries 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Mathematics and Computation 1 Advances in Differential Equations 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering 1 Communications in Mathematical Sciences 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 SMAI Journal of Computational Mathematics
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#### Fields

 52 Numerical analysis (65-XX) 40 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 13 Differential geometry (53-XX) 9 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 576 times in 310 Documents Cited by Year
A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
On the parametric finite element approximation of evolving hypersurfaces in $$\mathbb R^3$$. Zbl 1145.65068
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012
Barrett, John W.; Nürnberg, Robert; Styles, Vanessa
2004
On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel
2018
A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty. Zbl 1079.90540
Nürnberg, Robert; Römisch, Werner
2002
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2011
Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2003
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Adaptive finite element methods for Cahn-Hilliard equations. Zbl 1143.65076
Baňas, L’ubomír; Nürnberg, Robert
2008
Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076
Barrett, John W.; Langdon, Stephen; Nürnberg, Robert
2004
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Numerical approximation of gradient flows for closed curves in $$\mathbb R^{d}$$. Zbl 1185.65027
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2006
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473
Barrett, J. W.; Nürnberg, R.
2004
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy. Zbl 1190.65137
Baňas, L’ubomír; Nürnberg, Robert
2009
A multigrid method for the Cahn-Hilliard equation with obstacle potential. Zbl 1168.65386
Baňas, L’ubomír; Nürnberg, Robert
2009
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Stochastic programming for power production and trading under uncertainty. Zbl 1161.90451
Schultz, Rüdiger; Nowak, Matthias P.; Nürnberg, Robert; Römisch, Werner; Westphalen, Markus
2003
A phase field model for the electromigration of intergranular voids. Zbl 1132.35082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. Zbl 1391.76769
Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert
2017
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
Finite element approximation of a three dimensional phase field model for void electromigration. Zbl 1203.65175
Baňas, Ľubomír; Nürnberg, Robert
2008
Numerical simulations of immiscible fluid clusters. Zbl 1162.76030
Nürnberg, Robert
2009
Stress- and diffusion-induced interface motion: modelling and numerical simulations. Zbl 1128.74004
Garcke, Harald; Nürnberg, Robert; Styles, Vanessa
2007
Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044
Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E.
2006
Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076
Barrett, John W.; Nürnberg, Robert
2002
Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010
Barrett, John W.; Nürnberg, Robert
2004
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. Zbl 1165.35406
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. Zbl 1371.35212
Baňas, L’ubomír; Nürnberg, Robert
2017
Finite element approximation of a phase field model arising in nanostructure patterning. Zbl 1339.65179
Nürnberg, Robert; Tucker, Edward J. W.
2015
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
The degenerate and non-degenerate deep quench obstacle problem: a numerical comparison. Zbl 1270.35288
Baňas, L’ubomír; Novick-Cohen, Amy; Nürnberg, Robert
2013
Stable phase field approximations of anisotropic solidification. Zbl 1310.65120
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
Phase field computations for surface diffusion and void electromigration in $${\mathbb{R}^3}$$. Zbl 1259.78038
Baňas, L’ubomír; Nürnberg, Robert
2009
Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161
Barrett, John. W.; Garcke, Harald; Nürnberg, Robert
2013
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
An unfitted finite element method for the numerical approximation of void electromigration. Zbl 1331.78027
Nürnberg, Robert; Sacconi, Andrea
2014
Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2018
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel
2018
Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2018
Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. Zbl 1391.76769
Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert
2017
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. Zbl 1371.35212
Baňas, L&rsquo;ubomír; Nürnberg, Robert
2017
Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Finite element approximation of a phase field model arising in nanostructure patterning. Zbl 1339.65179
Nürnberg, Robert; Tucker, Edward J. W.
2015
Stable phase field approximations of anisotropic solidification. Zbl 1310.65120
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
An unfitted finite element method for the numerical approximation of void electromigration. Zbl 1331.78027
Nürnberg, Robert; Sacconi, Andrea
2014
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
The degenerate and non-degenerate deep quench obstacle problem: a numerical comparison. Zbl 1270.35288
Baňas, L&rsquo;ubomír; Novick-Cohen, Amy; Nürnberg, Robert
2013
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161
Barrett, John. W.; Garcke, Harald; Nürnberg, Robert
2013
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2011
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Numerical approximation of gradient flows for closed curves in $$\mathbb R^{d}$$. Zbl 1185.65027
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy. Zbl 1190.65137
Baňas, L&rsquo;ubomír; Nürnberg, Robert
2009
A multigrid method for the Cahn-Hilliard equation with obstacle potential. Zbl 1168.65386
Baňas, L&rsquo;ubomír; Nürnberg, Robert
2009
Numerical simulations of immiscible fluid clusters. Zbl 1162.76030
Nürnberg, Robert
2009
Phase field computations for surface diffusion and void electromigration in $${\mathbb{R}^3}$$. Zbl 1259.78038
Baňas, L&rsquo;ubomír; Nürnberg, Robert
2009
On the parametric finite element approximation of evolving hypersurfaces in $$\mathbb R^3$$. Zbl 1145.65068
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Adaptive finite element methods for Cahn-Hilliard equations. Zbl 1143.65076
Baňas, L&rsquo;ubomír; Nürnberg, Robert
2008
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Finite element approximation of a three dimensional phase field model for void electromigration. Zbl 1203.65175
Baňas, Ľubomír; Nürnberg, Robert
2008
On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. Zbl 1165.35406
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
A phase field model for the electromigration of intergranular voids. Zbl 1132.35082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Stress- and diffusion-induced interface motion: modelling and numerical simulations. Zbl 1128.74004
Garcke, Harald; Nürnberg, Robert; Styles, Vanessa
2007
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2006
Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044
Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E.
2006
Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012
Barrett, John W.; Nürnberg, Robert; Styles, Vanessa
2004
Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076
Barrett, John W.; Langdon, Stephen; Nürnberg, Robert
2004
Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473
Barrett, J. W.; Nürnberg, R.
2004
Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010
Barrett, John W.; Nürnberg, Robert
2004
Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2003
Stochastic programming for power production and trading under uncertainty. Zbl 1161.90451
Schultz, Rüdiger; Nowak, Matthias P.; Nürnberg, Robert; Römisch, Werner; Westphalen, Markus
2003
A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty. Zbl 1079.90540
Nürnberg, Robert; Römisch, Werner
2002
Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076
Barrett, John W.; Nürnberg, Robert
2002
all top 5

#### Cited by 460 Authors

 43 Garcke, Harald 36 Nürnberg, Robert 26 Barrett, John W. 10 Styles, Vanessa 8 Kahle, Christian 7 Deckelnick, Klaus 7 Lam, Kei Fong 7 Olshanskii, Maxim A. 7 Signori, Andrea 6 Bartels, Sören 6 Elliott, Charles M. 6 Pozzi, Paola 5 Baňas, L’ubomír 5 Blank, Luise 5 Li, Buyang 5 Reusken, Arnold 5 Voigt, Axel 5 Zhao, Quan 4 Beneš, Michal 4 Escudero, Laureano Fernando 4 Hinze, Michael 4 Liu, Chein-Shan 4 Lowengrub, John Samuel 4 Mikula, Karol 4 Nochetto, Ricardo Horacio 4 Rocca, Elisabetta 4 Stinner, Bjorn 4 Van Ackooij, Wim 3 Bonito, Andrea 3 Colli, Pierluigi 3 Kovács, Balázs 3 Laurain, Antoine 3 Lubich, Christian 3 Miranville, Alain M. 3 Miura, Tatsu-Hiko 3 Pan, Zhenguo 3 Pluda, Alessandra 3 Rätz, Andreas 3 Sarbu, Lavinia 3 Scarpa, Luca 3 Schultz, Rüdiger 3 Ševčovič, Daniel 3 Sprekels, Jürgen 3 Wise, Steven M. 3 Xu, Jinchao 2 Abels, Helmut 2 Aland, Sebastian 2 Anderson, Patrick D. 2 Araceli Garín, María 2 Bao, Weizhu 2 Benninghoff, Heike 2 Bonart, Henning 2 Bretin, Elie 2 Bruell, Gabriele 2 Butz, Martin V. 2 Chen, Wenbin 2 Dai, Shibin 2 Dall’Acqua, Anna 2 Demlow, Alan 2 Depner, Daniel 2 Dziuk, Gerhard 2 Ebenbeck, Matthias 2 El Alaoui, Linda 2 Escher, Joachim 2 Fleten, Stein-Erik 2 Frangioni, Antonio 2 Gilardi, Gianni 2 Gräser, Carsten 2 Guillén González, Francisco M. 2 Hahn, Andreas 2 Hansbo, Peter 2 Hillairet, Matthieu 2 Hintermüller, Michael 2 Hulsen, Martien A. 2 Insall, R. H. 2 Jankuhn, Thomas 2 Kemmochi, Tomoya 2 Kornhuber, Ralf 2 Krasnoshchok, Mykola Valeriĭovych 2 Kröner, Heiko 2 Laadhari, Aymen 2 Lacalandra, Fabrizio 2 Lai, Mingchih 2 Larson, Mats G. 2 Laurençot, Philippe 2 Li, Lu 2 Li, Shuwang 2 Liu, Chun 2 Liu, Yuan 2 Mackenzie, John A. 2 Menzel, Julia H. 2 Merino, María 2 Münch, Andreas 2 Novaga, Matteo 2 Novick-Cohen, Amy 2 Oudet, Edouard 2 Pérez, Gloria 2 Pietschmann, Jan-Frederik 2 Prohl, Andreas 2 Rabczuk, Timon ...and 360 more Authors
all top 5

#### Cited in 101 Serials

 34 Journal of Computational Physics 19 Numerische Mathematik 14 Mathematics of Computation 11 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Numerical Analysis 7 Applied Mathematics and Optimization 7 Journal of Computational and Applied Mathematics 7 SIAM Journal on Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Scientific Computing 6 European Journal of Applied Mathematics 5 Applied Numerical Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Mathematical Analysis 4 Archive for Rational Mechanics and Analysis 4 Computers & Mathematics with Applications 4 Journal of Differential Equations 4 Numerical Methods for Partial Differential Equations 4 Advances in Computational Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Applicable Analysis 3 Applied Mathematics and Computation 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Control and Optimization 3 Physica D 3 Annals of Operations Research 3 European Journal of Operational Research 3 SIAM Journal on Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 Calculus of Variations and Partial Differential Equations 3 Interfaces and Free Boundaries 3 Optimization and Engineering 3 Nonlinear Analysis. Real World Applications 3 Geometric Flows 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 BIT 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Computational Mechanics 2 Applied Mathematical Modelling 2 Top 2 Discrete and Continuous Dynamical Systems 2 Computing and Visualization in Science 2 Abstract and Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Archives of Computational Methods in Engineering 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Computational Management Science 2 SMAI Journal of Computational Mathematics 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 Journal für die Reine und Angewandte Mathematik 1 Kybernetika 1 Tohoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Optimization 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Dynamical and Control Systems 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 OR Spectrum 1 Stochastics and Dynamics 1 SIAM Journal on Applied Dynamical Systems 1 4OR 1 Optimization Letters 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Mathematical Control and Related Fields 1 Journal of Theoretical Biology 1 Evolution Equations and Control Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys ...and 1 more Serials
all top 5

#### Cited in 26 Fields

 173 Partial differential equations (35-XX) 167 Numerical analysis (65-XX) 88 Fluid mechanics (76-XX) 51 Mechanics of deformable solids (74-XX) 46 Biology and other natural sciences (92-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 35 Differential geometry (53-XX) 29 Operations research, mathematical programming (90-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX)