Edit Profile (opens in new tab) Kropinski, Mary Catherine A. Co-Author Distance Author ID: kropinski.mary-catherine-a Published as: Kropinski, M. C. A.; Kropinski, Mary Catherine A.; Kropinski, Mary Catherine; Kropinski, M. C.; Kropinski, Mary-Catherine more...less Documents Indexed: 25 Publications since 1993, including 1 Additional arXiv Preprint Co-Authors: 17 Co-Authors with 20 Joint Publications 587 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Quaife, Bryan D. 4 Ward, Michael J. 3 Cole, Julian David 3 Greengard, Leslie F. 3 Schwendeman, Donald William 2 Nigam, Nilima 1 af Klinteberg, Ludvig 1 Askham, Travis 1 Forsyth, Peter A. 1 Fryklund, Fredrik 1 Jiang, Shidong 1 Keller, Joseph Bishop 1 Lindsay, Alan E. 1 Lushi, Enkeleida 1 Mayo, Anita A. 1 Titcombe, Michèle S. 1 Tornberg, Anna-Karin all top 5 Serials 7 Journal of Computational Physics 3 Advances in Computational Mathematics 2 Computers & Mathematics with Applications 2 Theoretical and Computational Fluid Dynamics 2 Studies in Applied Mathematics 2 SIAM Journal on Scientific Computing 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 SIAM Journal on Applied Mathematics all top 5 Fields 18 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 294 times in 203 Documents Cited by ▼ Year ▼ Integral equation methods for Stokes flow and isotropic elasticity in the plane. Zbl 0847.76066 Greengard, Leslie; Kropinski, Mary Catherine; Mayo, Anita 64 1996 Fast integral equation methods for the modified Helmholtz equation. Zbl 1207.65144 Kropinski, Mary Catherine A.; Quaife, Bryan D. 30 2011 An integral equation approach to the incompressible Navier–Stokes equations in two dimensions. Zbl 0917.35094 Greengard, Leslie; Kropinski, Mary Catherine 25 1999 An efficient numerical method for studying interfacial motion in two-dimensional creeping flows. Zbl 1047.76572 Kropinski, M. C. A. 22 2001 Integral equation methods for Stokes flow in doubly-periodic domains. Zbl 1046.76011 Greengard, Leslie; Kropinski, Mary Catherine 17 2004 Fast integral equation methods for Rothe’s method applied to the isotropic heat equation. Zbl 1221.65279 Kropinski, Mary Catherine A.; Quaife, Bryan D. 16 2011 Monotonicity considerations for saturated–unsaturated subsurface flow. Zbl 0897.76048 Forsyth, P. A.; Kropinski, M. C. 16 1997 A hybrid asymptotic-numerical method for low Reynolds number flows past a cylindrical body. Zbl 0854.76028 Kropinski, M. C. A.; Ward, Michael J.; Keller, Joseph B. 14 1995 Integral equation methods for particle simulations in creeping flows. Zbl 0970.76075 Kropinski, M. C. A. 13 1999 Numerical methods for multiple inviscid interfaces in creeping flows. Zbl 1130.76391 Kropinski, M. C. A. 12 2002 Asymptotic analysis of localized solutions to some linear and nonlinear biharmonic eigenvalue problems. Zbl 1219.35043 Kropinski, M. C.; Lindsay, A. E.; Ward, M. J. 10 2011 Second kind integral equation formulation for the modified biharmonic equation and its applications. Zbl 1427.76206 Jiang, Shidong; Kropinski, Mary Catherine A.; Quaife, Bryan D. 8 2013 A fast integral equation method for the two-dimensional Navier-Stokes equations. Zbl 1435.76020 af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine 8 2020 An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272 Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin 8 2020 Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional Stokes flow. Zbl 1416.76216 Kropinski, Mary Catherine A.; Lushi, Enkeleida 7 2011 Fast integral equation methods for the Laplace-Beltrami equation on the sphere. Zbl 1302.65262 Kropinski, Mary Catherine A.; Nigam, Nilima 7 2014 On the construction and calculation of optimal nonlifting critical airfoils. Zbl 0776.76078 Schwendeman, D. W.; Kropinski, M. C. A.; Cole, J. D. 6 1993 Integral equation methods for the Yukawa-Beltrami equation on the sphere. Zbl 1337.35043 Kropinski, M. C.; Nigam, N.; Quaife, B. 5 2016 Asymptotic methods for PDE problems in fluid mechanics and related systems with strong localized perturbations in two dimensional domains. Zbl 1419.76535 Ward, Michael J.; Kropinski, Mary-Catherine 3 2010 A hybrid method for low Reynolds number flow past an asymmetric cylindrical body. Zbl 1136.76345 Titcombe, Michèle S.; Ward, Michael J.; Kropinski, Mary Catherine 3 2000 A fast integral equation method for the two-dimensional Navier-Stokes equations. Zbl 1435.76020 af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine 8 2020 An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272 Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin 8 2020 Integral equation methods for the Yukawa-Beltrami equation on the sphere. Zbl 1337.35043 Kropinski, M. C.; Nigam, N.; Quaife, B. 5 2016 Fast integral equation methods for the Laplace-Beltrami equation on the sphere. Zbl 1302.65262 Kropinski, Mary Catherine A.; Nigam, Nilima 7 2014 Second kind integral equation formulation for the modified biharmonic equation and its applications. Zbl 1427.76206 Jiang, Shidong; Kropinski, Mary Catherine A.; Quaife, Bryan D. 8 2013 Fast integral equation methods for the modified Helmholtz equation. Zbl 1207.65144 Kropinski, Mary Catherine A.; Quaife, Bryan D. 30 2011 Fast integral equation methods for Rothe’s method applied to the isotropic heat equation. Zbl 1221.65279 Kropinski, Mary Catherine A.; Quaife, Bryan D. 16 2011 Asymptotic analysis of localized solutions to some linear and nonlinear biharmonic eigenvalue problems. Zbl 1219.35043 Kropinski, M. C.; Lindsay, A. E.; Ward, M. J. 10 2011 Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional Stokes flow. Zbl 1416.76216 Kropinski, Mary Catherine A.; Lushi, Enkeleida 7 2011 Asymptotic methods for PDE problems in fluid mechanics and related systems with strong localized perturbations in two dimensional domains. Zbl 1419.76535 Ward, Michael J.; Kropinski, Mary-Catherine 3 2010 Integral equation methods for Stokes flow in doubly-periodic domains. Zbl 1046.76011 Greengard, Leslie; Kropinski, Mary Catherine 17 2004 Numerical methods for multiple inviscid interfaces in creeping flows. Zbl 1130.76391 Kropinski, M. C. A. 12 2002 An efficient numerical method for studying interfacial motion in two-dimensional creeping flows. Zbl 1047.76572 Kropinski, M. C. A. 22 2001 A hybrid method for low Reynolds number flow past an asymmetric cylindrical body. Zbl 1136.76345 Titcombe, Michèle S.; Ward, Michael J.; Kropinski, Mary Catherine 3 2000 An integral equation approach to the incompressible Navier–Stokes equations in two dimensions. Zbl 0917.35094 Greengard, Leslie; Kropinski, Mary Catherine 25 1999 Integral equation methods for particle simulations in creeping flows. Zbl 0970.76075 Kropinski, M. C. A. 13 1999 Monotonicity considerations for saturated–unsaturated subsurface flow. Zbl 0897.76048 Forsyth, P. A.; Kropinski, M. C. 16 1997 Integral equation methods for Stokes flow and isotropic elasticity in the plane. Zbl 0847.76066 Greengard, Leslie; Kropinski, Mary Catherine; Mayo, Anita 64 1996 A hybrid asymptotic-numerical method for low Reynolds number flows past a cylindrical body. Zbl 0854.76028 Kropinski, M. C. A.; Ward, Michael J.; Keller, Joseph B. 14 1995 On the construction and calculation of optimal nonlifting critical airfoils. Zbl 0776.76078 Schwendeman, D. W.; Kropinski, M. C. A.; Cole, J. D. 6 1993 all cited Publications top 5 cited Publications all top 5 Cited by 328 Authors 13 Kropinski, Mary Catherine A. 10 Helsing, Johan 10 Ward, Michael J. 9 Quaife, Bryan D. 8 Christlieb, Andrew J. 8 Veerapaneni, Shravan Kumar 7 Jiang, Shidong 7 Tornberg, Anna-Karin 6 Biros, George 6 Lindsay, Alan E. 6 Liu, Yijun 6 Rachh, Manas 6 Ying, Wenjun 5 Fryklund, Fredrik 5 Greengard, Leslie F. 4 Askham, Travis 4 Barnett, Alex H. 4 Power, Henry 4 Zorin, Denis N. 3 Beale, J. Thomas 3 Causley, Matthew F. 3 Jiang, Yan 3 Jonsson, Anders 3 Kraiko, A. N. 3 Mammoli, Andrea Alberto 3 O’Neil, Michael 3 Siegel, Michael 3 Wei, Juncheng 3 Xie, Yaning 3 Yariv, Ehud 2 af Klinteberg, Ludvig 2 Berninger, Heiko 2 Cancès, Clément 2 Chen, Weiqiu 2 Chen, Xiangling 2 Cho, Hana 2 Crowdy, Darren Gregory 2 Daripa, Prabir K. 2 Englund, Jonas 2 Forsyth, Peter A. 2 Gueyffier, Denis 2 Guo, Wei 2 Hamon, François P. 2 Huang, Zhiyi 2 Ingber, Marc S. 2 Ito, Kazufumi 2 Klöckner, Andreas 2 Lai, Mingchih 2 Layton, Anita T. 2 Li, Hu 2 Li, Shuwang 2 Liao, Shijun 2 Lowengrub, John Samuel 2 Mallison, Bradley T. 2 Minion, Michael L. 2 Moore, M. Nicholas J. 2 Nigam, Nilima 2 Ojala, Rikard 2 Pålsson, Sara 2 Pérez-Arancibia, Carlos 2 Rahimian, Abtin 2 Sander, Oliver 2 Sands, William A. 2 Shapovalov, V. A. 2 Sohn, Jinsun 2 Stein, David B. 2 Tchelepi, Hamdi A. 2 Tlupova, Svetlana 2 Tzou, Justin C. 2 Vetzal, Kenneth R. 2 Yang, Hyoseon 2 Ying, Lexing 2 Zhu, Hai 2 Zhu, XingYi 2 Zvan, R. 1 Abdelwahed, Mohamed 1 Aberrah, Moha 1 Agarwal, Dhwanit 1 Ait Hammou Oulhaj, Ahmed 1 Alves, Carlos J. S. 1 Amano, Kaname 1 Amaziane, Brahim 1 Ambrose, David M. 1 Anderson, Thomas G. 1 Antunes, Pedro Ricardo Simão 1 Aricò, Costanza 1 Banks, Harvey Thomas 1 Bänsch, Eberhard 1 Batista, Juan 1 Bennett, Thomas P. 1 Berardi, Marco 1 Bettencourt, Matthew T. 1 Beylkin, Gregory 1 Bodony, Daniel J. 1 Booty, Michael R. 1 Boubendir, Yassine 1 Bouzarth, Elizabeth L. 1 Brenner, Konstantin 1 Briceño, F. J. 1 Brubeck, Pablo D. ...and 228 more Authors all top 5 Cited in 67 Serials 56 Journal of Computational Physics 13 Engineering Analysis with Boundary Elements 9 Journal of Scientific Computing 8 Journal of Fluid Mechanics 8 Advances in Computational Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 4 Journal of Engineering Mathematics 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Numerical Analysis 4 European Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 3 Fluid Dynamics 3 Applied Numerical Mathematics 3 Communications in Computational Physics 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Communications in Numerical Methods in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Computation 1 BIT 1 Journal of Differential Equations 1 Kybernetika 1 Studies in Applied Mathematics 1 Statistics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Applied Mathematical Finance 1 Complexity 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Computational Geosciences 1 Dynamical Systems 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Science China. Technological Sciences 1 International Journal for Numerical Methods in Biomedical Engineering 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Frontiers of Mathematical Finance all top 5 Cited in 23 Fields 113 Numerical analysis (65-XX) 103 Fluid mechanics (76-XX) 76 Partial differential equations (35-XX) 28 Mechanics of deformable solids (74-XX) 15 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 10 Potential theory (31-XX) 10 Optics, electromagnetic theory (78-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year