## Anderson, Daniel M.

Compute Distance To:
 Author ID: anderson.daniel-m Published as: Anderson, Daniel M.; Anderson, D. M.; Anderson, Daniel
 Documents Indexed: 49 Publications since 1973 Co-Authors: 22 Co-Authors with 19 Joint Publications 426 Co-Co-Authors
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### Co-Authors

 4 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 Hamnen, H. 2 Karoubi, Max 2 Seshaiyer, Padmanabhan 2 Wagoner, John B. 2 Wilhelmsson, Hans 2 Worster, M. Grae 1 Benson, James D. 1 Bondarev, Andrei 1 Bondeson, Anders 1 Braun, Richard J. 1 Cattani, F. 1 Cermelli, Paolo 1 Coriell, Sam R. 1 Corsaro, Maria 1 Droniou, Jérôme 1 Forest, Mark Gregory 1 Fried, Eliot 1 Ghil, Michael 1 Gurtin, Morton Edward 1 Helczynski-Wolf, L. 1 Horton, Jonathan 1 Kearsley, Anthony José 1 Le Bodic, Pierre 1 Lundgren, Lukas 1 Morgan, Kerri 1 Murray, Bruce T. 1 Nishikawa, Kyoji 1 Nong, Kumnit 1 Österberg, Ulf 1 Pekkari, L.-O. 1 Reid, Tim 1 Semenov, V. E. 1 Siddique, Javed I. 1 Superfine, Richard 1 Talagrand, Olivier 1 Talbott, Kevin 1 Tange, Toshio 1 Winter, Katlyn N. 1 Xu, Amber
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### Serials

 11 Journal of Fluid Mechanics 7 Physics of Fluids 5 Physica D 5 Physics of Fluids 3 Physica Scripta 3 Mathematical Medicine and Biology 2 SIAM Journal on Applied Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Physics Letters. A 1 Transactions of the American Mathematical Society 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 American Journal of Physics 1 Journal of Physics A: Mathematical and Theoretical
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### Fields

 32 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 8 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 663 times in 521 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 new oscillatory instability in a mushy layer during the solidification of binary alloys. Zbl 0859.76024
Anderson, D. M.; Worster, M. Grae
1996
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
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
A phase-field model with convection: sharp-inerface asymptotics. Zbl 1076.80504
Anderson, D. M.; McFadden, G. B.; Wheeler, A. A.
2001
Two-fluid viscous flow in a corner. Zbl 0789.76094
Anderson, D. M.; Davis, S. H.
1993
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
Soliton perturbations: a variational principle for the soliton parameters. Zbl 1063.35528
Bondeson, A.; Lisak, M.; Anderson, D.
1979
Local fluid and heat flow near contact lines. Zbl 0800.76486
Anderson, D. M.; Davis, S. H.
1994
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
Equivalent Lagrangians in generalized mechanics. Zbl 0262.70019
Anderson, D.
1973
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
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
Relations between higher algebraic $$K$$-theories. Zbl 0346.18015
Anderson, D.; Karoubi, M.; Wagoner, J.
1973
Higher algebraic K-theories. Zbl 0354.18016
Anderson, D.; Karoubi, M.; Wagoner, J.
1977
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
Diffusive and phase change instabilities in a ternary mushy layer. Zbl 1331.76113
Guba, Peter; Anderson, Daniel M.
2014
Effects of particle trapping on ion-cyclotron resonance heating in a toroidal plasma. Zbl 0594.76121
Anderson, D.; Lisak, M.; Pekkari, L.-O.
1985
A model for a spreading and melting droplet on a heated substrate. Zbl 0995.76094
Anderson, D. M.; Forest, M. G.; Superfine, R.
2001
Fermat’s principle and the variational analysis of an optical model for light propagation exhibiting a critical radius. Zbl 1219.78120
Marklund, M.; Anderson, D.; Cattani, F.; Lisak, M.; Lundgren, L.
2002
Mathematical basis for analysis of partially coherent wave propagation in nonlinear, non-instantaneous, Kerr media. Zbl 1189.78053
Semenov, V.; Lisak, M.; Anderson, D.; Hansson, T.; Helczynski-Wolf, L.; Österberg, U.
2008
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
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
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
Mathematical basis for analysis of partially coherent wave propagation in nonlinear, non-instantaneous, Kerr media. Zbl 1189.78053
Semenov, V.; Lisak, M.; Anderson, D.; Hansson, T.; Helczynski-Wolf, L.; Österberg, U.
2008
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
Fermat’s principle and the variational analysis of an optical model for light propagation exhibiting a critical radius. Zbl 1219.78120
Marklund, M.; Anderson, D.; Cattani, F.; Lisak, M.; Lundgren, L.
2002
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
Effects of particle trapping on ion-cyclotron resonance heating in a toroidal plasma. Zbl 0594.76121
Anderson, D.; Lisak, M.; Pekkari, L.-O.
1985
Soliton perturbations: a variational principle for the soliton parameters. Zbl 1063.35528
Bondeson, A.; Lisak, M.; Anderson, D.
1979
Higher algebraic K-theories. Zbl 0354.18016
Anderson, D.; Karoubi, M.; Wagoner, J.
1977
Equivalent Lagrangians in generalized mechanics. Zbl 0262.70019
Anderson, D.
1973
Relations between higher algebraic $$K$$-theories. Zbl 0346.18015
Anderson, D.; Karoubi, M.; Wagoner, J.
1973
all top 5

### Cited by 895 Authors

 14 Yang, Xiaofeng 12 Lowengrub, John Samuel 11 Shen, Jie 9 Grasselli, Maurizio 8 Mauri, Roberto 7 Braun, Richard J. 7 Liu, Chun 7 Xu, Chuanju 6 Anderson, Daniel M. 6 Frigeri, Sergio 6 Giorgini, Andrea 6 Hughes, Thomas J. R. 6 Kim, Junseok 6 Rohde, Christian 6 Yariv, Ehud 6 Zhao, Jia 5 Abels, Helmut 5 Ardekani, Arezoo M. 5 Balashov, Vladislav 5 Driscoll, Tobin A. 5 Du, Qiang 5 Han, Daozhi 5 Huang, Ziyang 5 Lin, Guang 5 Lin, Ping 5 Prüß, Jan Wilhelm 5 Udaykumar, Holavanahalli S. 4 Anderson, Patrick D. 4 Balashov, V. A. 4 Beckermann, C. 4 Chen, Lizhen 4 Cimmelli, Vito Antonio 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 Hou, Dianming 4 Lamorgese, Andrea G. 4 Liang, Zhilei 4 McFadden, Geoffrey Bey 4 Neufeld, Jerome A. 4 Ren, Weiqing 4 Shu, Chang 4 Soldati, Alfredo 4 Tachim Medjo, Theodore 4 Thiele, Uwe 4 Wang, Qi 4 Wang, Xiaoming 4 Wise, Steven M. 4 Yang, Zhiguo 4 You, Bo 4 Yu, Haijun 4 Zlotnik, Alexander A. 3 Begley, Carolyn G. 3 Calo, Victor Manuel 3 Cartalade, Alain 3 Di Pietro, Daniele Antonio 3 Ding, Hang 3 Fakhari, Abbas 3 Feng, Xiaobing 3 Fernández-Cara, Enrique 3 Golden, John Murrough 3 Haspot, Boris 3 Huppert, Herbert E. 3 Inamuro, Takaji 3 King-Smith, P. Ewen 3 Levitas, Valery I. 3 Liu, Ju 3 Nestler, Britta 3 Niu, Xiaodong 3 Nogueira, Xesús 3 Oliveri, Francesco 3 Pace, Angelo Raffaele 3 Petcu, Madalina 3 Rahimian, Mohammad Hassan 3 Rivière, Beatrice M. 3 Rocca, Elisabetta 3 Roccon, Alessio 3 Savenkov, E. B. 3 Schimperna, Giulio 3 Schnitzer, Ory 3 Shimizu, Senjo 3 Simonett, Gieri 3 Soligo, Giovanni 3 Sprekels, Jürgen 3 Takada, Naoki 3 van der Zee, Kristoffer George 3 Vasil, Geoffrey M. 3 Wheeler, Adam A. 3 Wilke, Mathias 3 Wu, Hao 3 Yang, Jiang 3 Yue, Pengtao 3 Zhang, Zhen 3 Zhou, Zhi 2 Afkhami, Shahriar ...and 795 more Authors
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### Cited in 122 Serials

 91 Journal of Computational Physics 43 Journal of Fluid Mechanics 34 Physics of Fluids 23 Computer Methods in Applied Mechanics and Engineering 22 Computers and Fluids 17 Journal of Scientific Computing 13 Journal of Mathematical Analysis and Applications 13 Physica D 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Computers & Mathematics with Applications 9 International Journal for Numerical Methods in Fluids 8 Journal of Computational and Applied Mathematics 8 Communications in Computational Physics 7 Archive for Rational Mechanics and Analysis 7 Journal of Mathematical Fluid Mechanics 6 Applied Mathematics and Computation 6 Applied Mathematics and Optimization 6 SIAM Journal on Scientific Computing 5 Journal of Engineering Mathematics 5 Bulletin of Mathematical Biology 5 Journal of Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 5 Continuum Mechanics and Thermodynamics 4 International Journal of Engineering Science 4 Mathematics of Computation 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 Computational Geosciences 3 Mathematical Methods in the Applied Sciences 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 Mechanics. B. Fluids 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 International Journal of Heat and Mass Transfer 2 Journal of the Mechanics and Physics of Solids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chinese Annals of Mathematics. Series B 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 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 Nonlinear Analysis. Real World Applications 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 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Nonlinearity 1 Physica A 1 Physics Reports 1 Theoretical and Computational Fluid Dynamics 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Applied Numerical Mathematics 1 Numerical Algorithms 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 International Journal of Modern Physics C 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics ...and 22 more Serials
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### Cited in 24 Fields

 420 Fluid mechanics (76-XX) 169 Partial differential equations (35-XX) 150 Numerical analysis (65-XX) 54 Classical thermodynamics, heat transfer (80-XX) 37 Statistical mechanics, structure of matter (82-XX) 34 Mechanics of deformable solids (74-XX) 24 Biology and other natural sciences (92-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Geophysics (86-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 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 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-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 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)