×
Author ID: guy.robert-d Recent zbMATH articles by "Guy, Robert D."
Published as: Guy, Robert D.; Guy, Robert

Publications by Year

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 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

Citations by Year