Anderson, Daniel M.

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 Author ID: anderson.daniel-m Published as: Anderson, D. M.; Anderson, Daniel M.; Anderson, Daniel more...less Homepage: https://math.gmu.edu/~dmanders/
 Documents Indexed: 32 Publications since 1993 Co-Authors: 32 Co-Authors with 29 Joint Publications 788 Co-Co-Authors
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Co-Authors

 2 single-authored 7 McFadden, Geoffrey Bey 4 Davis, Stephen Howard 4 Wheeler, Adam A. 3 Guba, Peter 3 McLaughlin, Richard M. 3 Miller, Cass T. 2 Le Bodic, Pierre 2 Seshaiyer, Padmanabhan 2 Worster, M. Grae 1 Benson, James D. 1 Bondarev, Andrei 1 Braun, Richard J. 1 Cermelli, Paolo 1 Coriell, Sam R. 1 Corsaro, Maria 1 Droniou, Jérôme 1 Forest, Mark Gregory 1 Fried, Eliot 1 Gurtin, Morton Edward 1 Hendel, Gregor 1 Horton, Jonathan 1 Kearsley, Anthony José 1 Morgan, Kerri 1 Murray, Bruce T. 1 Nong, Kumnit 1 Pfetsch, Marc E. 1 Reid, Tim W. 1 Siddique, Javed I. 1 Superfine, Richard 1 Talbott, Kevin 1 Winter, Katlyn N. 1 Xu, Amber
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Serials

 11 Journal of Fluid Mechanics 5 Physica D 5 Physics of Fluids 3 Mathematical Medicine and Biology 2 SIAM Journal on Applied Mathematics 1 Mathematical Biosciences 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 INFORMS Journal on Computing
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Fields

 24 Fluid mechanics (76-XX) 12 Classical thermodynamics, heat transfer (80-XX) 6 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

28 Publications have been cited 697 times in 632 Documents Cited by Year
Diffuse-interface methods in fluid mechanics. Zbl 1398.76051
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
1998
A phase-field model of solidification with convection. Zbl 0951.35112
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
2000
The spreading of volatile liquid droplets on heated surfaces. Zbl 0843.76016
Anderson, D. M.; Davis, S. H.
1995
Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys. Zbl 0868.76031
Anderson, D. M.; Worster, M. Grae
1995
A diffuse-interface description of internal waves in a near-critical fluid. Zbl 1185.76467
Anderson, D. M.; McFadden, G. B.
1997
A model for wetting and evaporation of a post-blink precorneal tear film. Zbl 1196.92005
Winter, Katlyn N.; Anderson, Daniel M.; Braun, Richard J.
2010
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids. Zbl 1119.76066
Anderson, Daniel M.; Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.; McFadden, Geoffrey B.
2007
A new oscillatory instability in a mushy layer during the solidification of binary alloys. Zbl 0859.76024
Anderson, D. M.; Worster, M. Grae
1996
A phase-field model with convection: sharp-inerface asymptotics. Zbl 1076.80504
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
2001
Thin interface asymptotics for an energy/entropy approach to phase-field models with unequal conductivities. Zbl 0962.35175
McFadden, G. B.; Wheeler, A. A.; Anderson, D. M.
2000
The averaging of gravity currents in porous media. Zbl 1186.76026
Anderson, Daniel M.; Mclaughlin, Richard M.; Miller, Cass T.
2003
Two-fluid viscous flow in a corner. Zbl 0789.76094
Anderson, D. M.; Davis, S. H.
1993
Local fluid and heat flow near contact lines. Zbl 0800.76486
Anderson, D. M.; Davis, S. H.
1994
A model for diffusion-controlled solidification of ternary alloys in mushy layers. Zbl 1055.76054
Anderson, D. M.
2003
An arbitrary-order scheme on generic meshes for miscible displacements in porous media. Zbl 1395.65068
Anderson, Daniel; Droniou, Jérôme
2018
Linear and nonlinear convection in solidifying ternary alloys. Zbl 1085.76563
Anderson, D. M.; Schulze, T. P.
2005
Thin film evolution over a thin porous layer: modeling a tear film on a contact Lens. Zbl 1429.76034
Nong, Kumnit; Anderson, Daniel M.
2010
Pattern selection in ternary mushy layers. Zbl 1374.76071
Guba, Peter; Anderson, Daniel M.
2017
Capillary rise of a liquid into a deformable porous material. Zbl 1183.76481
Siddique, J. I.; Anderson, D. M.; Bondarev, Andrei
2009
Convective phenomena in mushy layers. Zbl 1439.76149
Anderson, Daniel M.; Guba, Peter
2020
Further results on an abstract model for branching and its application to mixed integer programming. Zbl 1478.90061
Anderson, Daniel; Le Bodic, Pierre; Morgan, Kerri
2021
Numerical solution of inward solidification of a dilute ternary solution towards a semi-permeable spherical cell. Zbl 1425.92061
Anderson, Daniel M.; Benson, James D.; Kearsley, Anthony J.
2019
Diffusive and phase change instabilities in a ternary mushy layer. Zbl 1331.76113
Guba, Peter; Anderson, Daniel M.
2014
A sharp-interface interpretation of a continuous density model for homogenization of gravity-driven flow in porous media. Zbl 1198.76110
Anderson, Daniel M.; McLaughlin, Richard M.; Miller, Cass T.
2010
Imbibition of a liquid droplet on a deformable porous substrate. Zbl 1187.76023
Anderson, Daniel M.
2005
Convective instabilities during the solidification of an ideal ternary alloy in a mushy layer. Zbl 1189.76195
Anderson, Daniel M.; McFadden, Geoffrey B.; Coriell, Sam R.; Murray, Bruce T.
2010
A model for a spreading and melting droplet on a heated substrate. Zbl 0995.76094
Anderson, D. M.; Forest, M. G.; Superfine, R.
2001
Estimating the size of branch-and-bound trees. Zbl 07551218
Hendel, Gregor; Anderson, Daniel; Le Bodic, Pierre; Pfetsch, Marc E.
2022
Estimating the size of branch-and-bound trees. Zbl 07551218
Hendel, Gregor; Anderson, Daniel; Le Bodic, Pierre; Pfetsch, Marc E.
2022
Further results on an abstract model for branching and its application to mixed integer programming. Zbl 1478.90061
Anderson, Daniel; Le Bodic, Pierre; Morgan, Kerri
2021
Convective phenomena in mushy layers. Zbl 1439.76149
Anderson, Daniel M.; Guba, Peter
2020
Numerical solution of inward solidification of a dilute ternary solution towards a semi-permeable spherical cell. Zbl 1425.92061
Anderson, Daniel M.; Benson, James D.; Kearsley, Anthony J.
2019
An arbitrary-order scheme on generic meshes for miscible displacements in porous media. Zbl 1395.65068
Anderson, Daniel; Droniou, Jérôme
2018
Pattern selection in ternary mushy layers. Zbl 1374.76071
Guba, Peter; Anderson, Daniel M.
2017
Diffusive and phase change instabilities in a ternary mushy layer. Zbl 1331.76113
Guba, Peter; Anderson, Daniel M.
2014
A model for wetting and evaporation of a post-blink precorneal tear film. Zbl 1196.92005
Winter, Katlyn N.; Anderson, Daniel M.; Braun, Richard J.
2010
Thin film evolution over a thin porous layer: modeling a tear film on a contact Lens. Zbl 1429.76034
Nong, Kumnit; Anderson, Daniel M.
2010
A sharp-interface interpretation of a continuous density model for homogenization of gravity-driven flow in porous media. Zbl 1198.76110
Anderson, Daniel M.; McLaughlin, Richard M.; Miller, Cass T.
2010
Convective instabilities during the solidification of an ideal ternary alloy in a mushy layer. Zbl 1189.76195
Anderson, Daniel M.; McFadden, Geoffrey B.; Coriell, Sam R.; Murray, Bruce T.
2010
Capillary rise of a liquid into a deformable porous material. Zbl 1183.76481
Siddique, J. I.; Anderson, D. M.; Bondarev, Andrei
2009
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids. Zbl 1119.76066
Anderson, Daniel M.; Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.; McFadden, Geoffrey B.
2007
Linear and nonlinear convection in solidifying ternary alloys. Zbl 1085.76563
Anderson, D. M.; Schulze, T. P.
2005
Imbibition of a liquid droplet on a deformable porous substrate. Zbl 1187.76023
Anderson, Daniel M.
2005
The averaging of gravity currents in porous media. Zbl 1186.76026
Anderson, Daniel M.; Mclaughlin, Richard M.; Miller, Cass T.
2003
A model for diffusion-controlled solidification of ternary alloys in mushy layers. Zbl 1055.76054
Anderson, D. M.
2003
A phase-field model with convection: sharp-inerface asymptotics. Zbl 1076.80504
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
2001
A model for a spreading and melting droplet on a heated substrate. Zbl 0995.76094
Anderson, D. M.; Forest, M. G.; Superfine, R.
2001
A phase-field model of solidification with convection. Zbl 0951.35112
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
2000
Thin interface asymptotics for an energy/entropy approach to phase-field models with unequal conductivities. Zbl 0962.35175
McFadden, G. B.; Wheeler, A. A.; Anderson, D. M.
2000
Diffuse-interface methods in fluid mechanics. Zbl 1398.76051
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
1998
A diffuse-interface description of internal waves in a near-critical fluid. Zbl 1185.76467
Anderson, D. M.; McFadden, G. B.
1997
A new oscillatory instability in a mushy layer during the solidification of binary alloys. Zbl 0859.76024
Anderson, D. M.; Worster, M. Grae
1996
The spreading of volatile liquid droplets on heated surfaces. Zbl 0843.76016
Anderson, D. M.; Davis, S. H.
1995
Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys. Zbl 0868.76031
Anderson, D. M.; Worster, M. Grae
1995
Local fluid and heat flow near contact lines. Zbl 0800.76486
Anderson, D. M.; Davis, S. H.
1994
Two-fluid viscous flow in a corner. Zbl 0789.76094
Anderson, D. M.; Davis, S. H.
1993
all top 5

Cited by 1,110 Authors

 14 Yang, Xiaofeng 12 Lowengrub, John Samuel 11 Shen, Jie 10 Grasselli, Maurizio 9 Anderson, Daniel M. 9 Braun, Richard J. 8 Giorgini, Andrea 8 Mauri, Roberto 7 Gómez, Héctor J. 7 Kim, Junseok 7 Liu, Chun 7 Riahi, Daniel N. 7 Rohde, Christian 7 Xu, Chuanju 6 Ardekani, Arezoo M. 6 Driscoll, Tobin A. 6 Frigeri, Sergio 6 Huang, Ziyang 6 Hughes, Thomas J. R. 6 Lin, Guang 6 McFadden, Geoffrey Bey 6 Yariv, Ehud 6 Zhao, Jia 5 Abels, Helmut 5 Balashov, Vladislav 5 Du, Qiang 5 Han, Daozhi 5 Lin, Ping 5 Prüß, Jan Wilhelm 5 Ren, Weiqing 5 Thiele, Uwe 5 Udaykumar, Holavanahalli S. 5 Vella, Dominic 5 You, Bo 4 Ajaev, Vladimir S. 4 Anderson, Patrick D. 4 Balashov, V. A. 4 Beckermann, C. 4 Begley, Carolyn G. 4 Chen, Lizhen 4 Cimmelli, Vito Antonio 4 Davis, Stephen Howard 4 Desjardins, Benoît 4 Deugoue, Gabriel 4 Dong, Suchuan 4 Feireisl, Eduard 4 Feng, James J. 4 Fried, Eliot 4 Gal, Ciprian Gheorghe Sorin 4 Garcke, Harald 4 Haspot, Boris 4 Hou, Dianming 4 Huppert, Herbert E. 4 Lamorgese, Andrea G. 4 Levitas, Valery I. 4 Liang, Zhilei 4 Neufeld, Jerome A. 4 Shu, Chang 4 Soldati, Alfredo 4 Tachim Medjo, Theodore 4 Temam, Roger Meyer 4 Wang, Qi 4 Wang, Xiaoming 4 Wise, Steven M. 4 Wu, Hao 4 Yang, Jiang 4 Yang, Zhiguo 4 Yu, Haijun 4 Zlotnik, Alexander A. 3 Bhatta, Dambaru D. 3 Cai, Yongyong 3 Calo, Victor Manuel 3 Cartalade, Alain 3 Coriell, Sam R. 3 Di Pietro, Daniele Antonio 3 Ding, Hang 3 Fakhari, Abbas 3 Feng, Xiaobing 3 Fernández-Cara, Enrique 3 Golden, John Murrough 3 Guba, Peter 3 Inamuro, Takaji 3 Ju, Lili 3 Kalita, Jiten C. 3 King-Smith, P. Ewen 3 Liu, Ju 3 Luke, Rayanne A. 3 Miksis, Michael J. 3 Munz, Claus-Dieter 3 Murray, Bruce T. 3 Nestler, Britta 3 Niu, Xiaodong 3 Nogueira, Xesús 3 Okhuysen, B. S. 3 Oliveri, Francesco 3 Pace, Angelo Raffaele 3 Petcu, Madalina 3 Rahimian, Mohammad Hassan 3 Rivière, Beatrice M. 3 Rocca, Elisabetta ...and 1,010 more Authors
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Cited in 134 Serials

 101 Journal of Computational Physics 71 Journal of Fluid Mechanics 49 Physics of Fluids 27 Computers and Fluids 24 Computer Methods in Applied Mechanics and Engineering 18 Journal of Scientific Computing 16 Computers & Mathematics with Applications 15 Journal of Mathematical Analysis and Applications 15 Physica D 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 International Journal for Numerical Methods in Fluids 9 Journal of Engineering Mathematics 9 Journal of Computational and Applied Mathematics 8 Applied Mathematics and Computation 8 Communications in Computational Physics 7 Archive for Rational Mechanics and Analysis 7 International Journal of Engineering Science 7 Journal of Differential Equations 7 Journal of Mathematical Fluid Mechanics 6 Applied Mathematics and Optimization 6 Applied Mathematical Modelling 6 SIAM Journal on Scientific Computing 5 Bulletin of Mathematical Biology 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 5 Continuum Mechanics and Thermodynamics 5 Nonlinear Analysis. Real World Applications 4 Mathematics of Computation 4 SIAM Journal on Applied Mathematics 4 European Journal of Mechanics. B. Fluids 4 Computational Geosciences 3 International Journal of Heat and Mass Transfer 3 Journal of the Mechanics and Physics of Solids 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Acta Mechanica 2 Journal of Statistical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series B 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 NoDEA. Nonlinear Differential Equations and Applications 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Applied Mechanics and Technical Physics 2 Communications in Nonlinear Science and Numerical Simulation 2 Archives of Computational Methods in Engineering 2 International Journal of Numerical Analysis and Modeling 2 Journal of Statistical Mechanics: Theory and Experiment 2 Advances in Applied Mathematics and Mechanics 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Nonlinearity 1 Physica A 1 Physics Reports 1 Theoretical and Computational Fluid Dynamics 1 Journal of Functional Analysis 1 Meccanica 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Annales Mathématiques Blaise Pascal 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Sinica. English Series ...and 34 more Serials
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Cited in 31 Fields

 513 Fluid mechanics (76-XX) 201 Partial differential equations (35-XX) 165 Numerical analysis (65-XX) 79 Classical thermodynamics, heat transfer (80-XX) 41 Statistical mechanics, structure of matter (82-XX) 40 Mechanics of deformable solids (74-XX) 27 Biology and other natural sciences (92-XX) 11 Geophysics (86-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 5 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)