Edit Profile (opens in new tab) Guy, Robert D. Co-Author Distance Author ID: guy.robert-d Published as: Guy, Robert D.; Guy, Robert Documents Indexed: 30 Publications since 1979, including 2 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 28 Joint Publications 524 Co-Co-Authors all top 5 Co-Authors 2 single-authored 11 Fogelson, Aaron L. 3 Du, Jian 3 Philip, Bobby 3 Strychalski, Wanda 3 Thomases, Becca 3 Wright, Grady B. 2 Copos, Calina A. 2 Griffith, Boyce E. 2 Keener, James P. 2 Kirby, Robert M. II 2 Newren, Elijah P. 2 Stein, David B. 1 Adams, Mark F. 1 Aldredge, Ralph C. 1 Bhalla, Amneet Pal Singh 1 Camacho, Victor 1 Eisenberg, Murray 1 Hartenstine, David A. 1 Jacobsen, Jon 1 Johnson, Carter L. 1 Knepley, Matthew G. 1 Leathers, Brittany J. 1 Lewis, Owen L. 1 Lewis, Timothy J. 1 Nargis, Nurun N. 1 Zhang, Qinghai all top 5 Serials 7 Journal of Computational Physics 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Medicine and Biology 3 Communications in Computational Physics 2 Journal of Non-Newtonian Fluid Mechanics 1 American Mathematical Monthly 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 The Fibonacci Quarterly 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 The ANZIAM Journal 1 SIAM Journal on Applied Dynamical Systems 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 18 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 3 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 323 times in 245 Documents Cited by ▼ Year ▼ Unconditionally stable discretizations of the immersed boundary equations. Zbl 1158.74350 Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. 50 2007 Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods. Zbl 1349.65656 Stein, David B.; Guy, Robert D.; Thomases, Becca 42 2016 Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains. Zbl 1375.76038 Stein, David B.; Guy, Robert D.; Thomases, Becca 25 2017 On the accuracy of direct forcing immersed boundary methods with projection methods. Zbl 1423.76337 Guy, Robert D.; Hartenstine, David A. 23 2010 Immersed-boundary-type models of intravascular platelet aggregation. Zbl 1158.76401 Fogelson, Aaron L.; Guy, Robert D. 23 2008 Fibrin gel formation in a shear flow. Zbl 1115.92017 Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 17 2007 A comparison of implicit solvers for the immersed boundary equations. Zbl 1158.76409 Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. 17 2008 A proof of the hairy ball theorem. Zbl 0433.57011 Eisenberg, Murray; Guy, Robert 17 1979 Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015 Fogelson, Aaron L.; Guy, Robert D. 16 2004 A poroelastic immersed boundary method with applications to cell biology. Zbl 1351.76185 Strychalski, Wanda; Copos, Calina A.; Lewis, Owen L.; Guy, Robert D. 15 2015 Stability of approximate projection methods on cell-centered grids. Zbl 1143.76558 Guy, Robert D.; Fogelson, Aaron L. 14 2005 An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037 Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L. 9 2008 A multigrid method for a model of the implicit immersed boundary equations. Zbl 1388.65091 Guy, Robert D.; Philip, Bobby 9 2012 Traveling waves and shocks in a viscoelastic generalization of Burgers’ equation. Zbl 1152.76010 Camacho, Victor; Guy, Robert D.; Jacobsen, Jon 8 2008 A computational model of bleb formation. Zbl 1267.92039 Strychalski, Wanda; Guy, Robert D. 7 2013 Geometric multigrid for an implicit-time immersed boundary method. Zbl 1329.74300 Guy, Robert D.; Philip, Bobby; Griffith, Boyce E. 5 2015 The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids. Zbl 1374.76245 Thomases, Becca; Guy, Robert D. 4 2017 A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143 Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L. 4 2011 Asymptotic analysis of PTT type closures for network models with variable junction concentrations. Zbl 1084.76006 Guy, Robert D. 3 2004 A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties. Zbl 1158.76366 Guy, Robert D.; Fogelson, Aaron L. 3 2008 An immersed boundary method for two-fluid mixtures. Zbl 1349.76873 Du, Jian; Guy, Robert D.; Fogelson, Aaron L. 3 2014 Viscoelastic immersed boundary methods for zero Reynolds number flow. Zbl 1373.76195 Strychalski, Wanda; Guy, Robert D. 3 2012 The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology. Zbl 1380.92031 Nargis, Nurun N.; Aldredge, Ralph C.; Guy, Robert D. 2 2018 A porous viscoelastic model for the cell cytoskeleton. Zbl 1391.74068 Copos, Calina A.; Guy, Robert D. 2 2018 Sums of consecutive integers. Zbl 0475.10014 Guy, Robert 1 1982 A projection preconditioner for solving the implicit immersed boundary equations. Zbl 1324.76043 Zhang, Qinghai; Guy, Robert D.; Philip, Bobby 1 2014 The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology. Zbl 1380.92031 Nargis, Nurun N.; Aldredge, Ralph C.; Guy, Robert D. 2 2018 A porous viscoelastic model for the cell cytoskeleton. Zbl 1391.74068 Copos, Calina A.; Guy, Robert D. 2 2018 Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains. Zbl 1375.76038 Stein, David B.; Guy, Robert D.; Thomases, Becca 25 2017 The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids. Zbl 1374.76245 Thomases, Becca; Guy, Robert D. 4 2017 Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods. Zbl 1349.65656 Stein, David B.; Guy, Robert D.; Thomases, Becca 42 2016 A poroelastic immersed boundary method with applications to cell biology. Zbl 1351.76185 Strychalski, Wanda; Copos, Calina A.; Lewis, Owen L.; Guy, Robert D. 15 2015 Geometric multigrid for an implicit-time immersed boundary method. Zbl 1329.74300 Guy, Robert D.; Philip, Bobby; Griffith, Boyce E. 5 2015 An immersed boundary method for two-fluid mixtures. Zbl 1349.76873 Du, Jian; Guy, Robert D.; Fogelson, Aaron L. 3 2014 A projection preconditioner for solving the implicit immersed boundary equations. Zbl 1324.76043 Zhang, Qinghai; Guy, Robert D.; Philip, Bobby 1 2014 A computational model of bleb formation. Zbl 1267.92039 Strychalski, Wanda; Guy, Robert D. 7 2013 A multigrid method for a model of the implicit immersed boundary equations. Zbl 1388.65091 Guy, Robert D.; Philip, Bobby 9 2012 Viscoelastic immersed boundary methods for zero Reynolds number flow. Zbl 1373.76195 Strychalski, Wanda; Guy, Robert D. 3 2012 A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143 Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L. 4 2011 On the accuracy of direct forcing immersed boundary methods with projection methods. Zbl 1423.76337 Guy, Robert D.; Hartenstine, David A. 23 2010 Immersed-boundary-type models of intravascular platelet aggregation. Zbl 1158.76401 Fogelson, Aaron L.; Guy, Robert D. 23 2008 A comparison of implicit solvers for the immersed boundary equations. Zbl 1158.76409 Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. 17 2008 An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037 Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L. 9 2008 Traveling waves and shocks in a viscoelastic generalization of Burgers’ equation. Zbl 1152.76010 Camacho, Victor; Guy, Robert D.; Jacobsen, Jon 8 2008 A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties. Zbl 1158.76366 Guy, Robert D.; Fogelson, Aaron L. 3 2008 Unconditionally stable discretizations of the immersed boundary equations. Zbl 1158.74350 Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. 50 2007 Fibrin gel formation in a shear flow. Zbl 1115.92017 Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 17 2007 Stability of approximate projection methods on cell-centered grids. Zbl 1143.76558 Guy, Robert D.; Fogelson, Aaron L. 14 2005 Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015 Fogelson, Aaron L.; Guy, Robert D. 16 2004 Asymptotic analysis of PTT type closures for network models with variable junction concentrations. Zbl 1084.76006 Guy, Robert D. 3 2004 Sums of consecutive integers. Zbl 0475.10014 Guy, Robert 1 1982 A proof of the hairy ball theorem. Zbl 0433.57011 Eisenberg, Murray; Guy, Robert 17 1979 all cited Publications top 5 cited Publications all top 5 Cited by 486 Authors 17 Fogelson, Aaron L. 9 Griffith, Boyce E. 9 Guy, Robert D. 5 Bhalla, Amneet Pal Singh 5 Čanić, Sunčica 5 Volpert, Vitaly A. 4 Ferrer, Esteban 4 Gebhardt, Cristian Guillermo 4 Keener, James P. 4 Kou, Jiaqing 4 Nave, Jean-Christophe 4 Peskin, Charles S. 4 Sequeira, Adélia 4 Zhao, Shan 3 Askham, Travis 3 Beale, J. Thomas 3 Boffi, Daniele 3 Bukač, Martina 3 Chun, Sehun 3 Colonius, Tim 3 Du, Jian 3 Fasano, Antonio 3 Feldman, Yuri 3 Feng, Hongsong 3 Fryklund, Fredrik 3 Gastaldi, Lucia 3 Hsieh, Po-Wen 3 Lai, Mingchih 3 Lowengrub, John Samuel 3 Maxian, Ondrej 3 Mori, Yoichiro 3 Patankar, Neelesh A. 3 Ruas, Vitoriano 3 Shen, Lian 3 Stein, David B. 3 Strychalski, Wanda 3 Tosenberger, Alen 3 Tsubokura, Makoto 3 Weymouth, Gabriel D. 3 Yang, Suh-Yuh 3 You, Cheng-Shu 3 Zeng, Yadong 2 Ataullakhanov, Fazoil I. 2 Bale, Rahul 2 Band, Leah R. 2 Belliard, Michel 2 Billo, Georis 2 Binagia, Jeremy P. 2 Burger, Martin 2 Cavallini, Nicola 2 Ceniceros, Hector D. 2 Chatelain, Philippe 2 Choi, Jung-Il 2 Cogan, Nick G. 2 Copos, Calina A. 2 Crowl, Lindsay M. 2 Fisher, Jordan E. 2 Garcke, Harald 2 Gillis, Thomas 2 Goldberg, Paul W. 2 Gómez, Héctor J. 2 Guo, Zhenlin 2 Guria, Georgy Th. 2 Herrero, Miguel Ángel 2 Hollender, Alexandros 2 Hoppe, Ronald H. W. 2 Hou, Thomas Yizhao 2 Housiadas, Kostas D. 2 Hurtado-de-Mendoza, Aurelio 2 Jeon, Youngmok 2 Johnston, Jacob 2 Joshi, Saumitra V. 2 Kim, Junseok 2 Kirby, Robert M. II 2 Kropinski, Mary Catherine A. 2 Law, Yann-Meing 2 Lee, Changhoon 2 Li, Yibao 2 Lin, Ping 2 Linsenmann, Christopher 2 Lou, Jincheng 2 Marques, Alexandre Noll 2 Muha, Boris 2 Onishi, Keiji 2 Pan, Xiaomin 2 Pantano, Carlos 2 Panteleev, Mikhail A. 2 Pavlova, Jevgenija 2 Quaini, Annalisa 2 Ramos, Juan I. 2 Ren, Yiming 2 Rolfes, Raimund 2 Romero, Ignacio 2 Rosales, Rodolfo Ruben 2 Sagaut, Pierre 2 Shankar, Varun 2 Shaqfeh, Eric S. G. 2 Shi, Zuoqiang 2 Suzuki, Kosuke 2 Thomases, Becca ...and 386 more Authors all top 5 Cited in 62 Serials 74 Journal of Computational Physics 25 Computer Methods in Applied Mechanics and Engineering 13 Computers and Fluids 10 Journal of Scientific Computing 9 Computers & Mathematics with Applications 9 Journal of Fluid Mechanics 8 Journal of Theoretical Biology 6 SIAM Journal on Scientific Computing 5 Journal of Mathematical Biology 5 Bulletin of Mathematical Biology 5 SIAM Journal on Applied Mathematics 4 International Journal for Numerical Methods in Fluids 3 Journal of Computational and Applied Mathematics 3 Physica D 3 International Journal for Numerical Methods in Biomedical Engineering 2 American Mathematical Monthly 2 Journal of Engineering Mathematics 2 Journal of Mathematical Physics 2 Nonlinearity 2 Physics Letters. A 2 Applied Mathematics and Computation 2 SIAM Journal on Numerical Analysis 2 Advances in Computational Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Computational Physics 2 Mathematical Modelling of Natural Phenomena 1 Acta Mechanica 1 International Journal of Engineering Science 1 Mathematical Biosciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 The Mathematical Intelligencer 1 Gaṇita 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Review 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 ACM Transactions on Modeling and Computer Simulation 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Modern Physics C 1 The ANZIAM Journal 1 International Journal of Computational Methods 1 Communications in Applied Mathematics and Computational Science 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics 1 Electronic Research Archive 1 Graduate Journal of Mathematics all top 5 Cited in 34 Fields 158 Fluid mechanics (76-XX) 120 Numerical analysis (65-XX) 71 Mechanics of deformable solids (74-XX) 66 Biology and other natural sciences (92-XX) 50 Partial differential equations (35-XX) 6 Computer science (68-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year