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## Peskin, Charles S.

Compute Distance To:
 Author ID: peskin.charles-s Published as: Peskin, Charles S.; Peskin, C. S.; Peskin, Charles External Links: MGP · Wikidata · GND
 Documents Indexed: 109 Publications since 1972, including 4 Books
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#### Co-Authors

 16 single-authored 11 Griffith, Boyce E. 9 McQueen, David M. 8 Mori, Yoichiro 7 Kim, Yongsam 5 Atzberger, Paul J. 5 Fai, Thomas G. 4 Lai, Mingchih 3 Deville, R. E. Lee 3 Elston, Timothy C. 3 Fogelson, Aaron L. 3 Isaacson, Samuel A. 3 Zhu, Luoding 2 Bao, Yuanxun 2 Börgers, Christoph 2 Donev, Aleksandar 2 Hand, Paul E. 2 Hoppensteadt, Frank C. 2 Kramer, Peter Roland 2 Lacker, H. Michael 2 Lax, Peter David 2 Lee, Pilhwa 2 LeVeque, Randall J. 2 Lim, Sookkyung 2 Schlick, Tamar 2 Seol, Yunchang 2 Sherman, Arthur S. 1 Aristizábal, Orlando 1 Arthurs, Kayne M. 1 Augenbaum, Jeffrey M. 1 Bell, John B. 1 Berger, Marsha J. 1 Boffi, Daniele 1 Bringley, Thomas T. 1 Caflisch, Russel E. 1 Chiu, Chichia 1 Cortez, Ricardo 1 Danial, Zach 1 Delgado-Buscalioni, Rafael 1 Devendran, Dharshi 1 Fauci, Lisa J. 1 Ferent, Anca 1 Forger, Daniel B. 1 Gastaldi, Lucia 1 Greenberg, Steven 1 Heltai, Luca 1 Hornung, Richard D. 1 Jerome, Joseph W. 1 Joyner, Alexandra L. 1 Jung, Eunok 1 Kaye, Jason 1 Keener, James P. 1 Kovács, Sándor J. 1 Lafferty, John D. 1 Larabell, Carolyn A. 1 Layton, Harold E. 1 Le Gros, Mark A. 1 Leffler, Shoshana R. 1 Legué, Emilie 1 Leonard, C. S. 1 Majda, George 1 Manzari, Mohammad T. 1 Marinaro, Jonathan L. 1 Maxian, Ondrej 1 Mayo, Anita A. 1 McCracken, Marjorie F. 1 Moore, Leon C. 1 Pitman, E. Bruce 1 Printz, Beth Feller 1 Puelz, Charles 1 Raval, Jay S. 1 Roma, Alexandre Megiorin 1 Rosar, M. E. 1 Sneyd, James 1 Sobie, Eric A. 1 Spencer, Joel H. 1 Stern, Julie V. 1 Stinchcombe, Adam R. 1 Stockie, John M. 1 Strumolo, Gary S. 1 Surkis, A. 1 Teran, Joseph M. 1 Tu, Cheng 1 Turnbull, Daniel H. 1 Usabiaga, Florencio Balboa 1 Varela, Douglas 1 Wang, Hongyun 1 Wang, Xiaodong 1 Wu, Chen-Hung 1 Yamada, Y. R. 1 Yi, Chung-Seon 1 You, Dwight 1 Zhang, Calvin
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#### Serials

 25 Journal of Computational Physics 11 SIAM Journal on Scientific Computing 9 Communications on Pure and Applied Mathematics 7 Bulletin of Mathematical Biology 5 SIAM Journal on Applied Mathematics 4 SIAM Journal on Scientific and Statistical Computing 4 Journal of Theoretical Biology 3 Computer Methods in Applied Mechanics and Engineering 3 Physics of Fluids 2 Computers and Fluids 2 Texts in Applied Mathematics 2 Mathematical Modelling of Natural Phenomena 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Advances in Applied Mathematics 1 Physica D 1 Fractals 1 The New York Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Multiscale Modeling & Simulation 1 Mathematical Medicine and Biology 1 Acta Numerica 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Communications in Applied Mathematics and Computational Science 1 Communications in Computational Physics
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#### Fields

 62 Biology and other natural sciences (92-XX) 60 Fluid mechanics (76-XX) 40 Numerical analysis (65-XX) 29 Mechanics of deformable solids (74-XX) 14 Probability theory and stochastic processes (60-XX) 13 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

90 Publications have been cited 4,484 times in 2,230 Documents Cited by Year
The immersed boundary method. Zbl 1123.74309
Peskin, Charles S.
2002
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
1977
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
1972
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
An adaptive version of the immersed boundary method. Zbl 0953.76069
Roma, Alexandre M.; Peskin, Charles S.; Berger, Marsha J.
1999
A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid. Zbl 0668.76159
Peskin, Charles S.; McQueen, David M.
1989
On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. Zbl 1115.76386
Griffith, Boyce E.; Peskin, Charles S.
2005
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. Zbl 1130.76406
Zhu, Luoding; Peskin, Charles S.
2002
Mathematical aspects of heart physiology. Zbl 0301.92001
Peskin, Charles S.
1975
Improved volume conservation in the computation of flows with immersed elastic boundaries. Zbl 0762.92011
Peskin, Charles S.; Printz, Beth Feller
1993
A computational model of aquatic animal locomotion. Zbl 0641.76140
Fauci, Lisa J.; Peskin, Charles S.
1988
An adaptive, formally second order accurate version of the immersed boundary method. Zbl 1163.76041
Griffith, Boyce E.; Hornung, Richard D.; McQueen, David M.; Peskin, Charles S.
2007
Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods. Zbl 0760.76067
Tu, Cheng; Peskin, Charles S.
1992
Implicit second-order immersed boundary methods with boundary mass. Zbl 1158.74533
Mori, Yoichiro; Peskin, Charles S.
2008
Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. Zbl 0447.92009
Peskin, Charles S.; McQueen, David M.
1980
Penalty immersed boundary method for an elastic boundary with mass. Zbl 1146.76441
Kim, Yongsam; Peskin, Charles S.
2007
On the hyperelastic formulation of the immersed boundary method. Zbl 1158.74523
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca; Peskin, Charles S.
2008
A fast numerical method for solving the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0652.76025
Fogelson, Aaron; Peskin, Charles S.
1988
Interaction of two flapping filaments in a flowing soap film. Zbl 1186.76611
Zhu, Luoding; Peskin, Charles S.
2003
A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. Zbl 1124.74052
Atzberger, Paul J.; Kramer, Peter R.; Peskin, Charles S.
2007
A three-dimensional computational method for blood flow in the heart. II: Contractile fibers. Zbl 0701.76130
McQueen, David M.; Peskin, Charles S.
1989
An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Zbl 0787.76055
Mayo, Anita A.; Peskin, Charles S.
1993
2-D parachute simulation by the immersed boundary method. Zbl 1126.76043
Kim, Yongsam; Peskin, Charles S.
2006
Lectures on mathematical aspects of physiology. Zbl 0461.92004
Peskin, Charles S.
1981
Modeling arteriolar flow and mass transport using the immersed boundary method. Zbl 0936.76062
Arthurs, Kayne M.; Moore, Leon C.; Peskin, Charles S.; Pitman, E. Bruce; Layton, H. E.
1998
Two-dimensional simulations of valveless pumping using the immersed boundary method. Zbl 1065.76156
Jung, Eunok; Peskin, Charles S.
2001
Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations. Zbl 1109.65008
Isaacson, Samuel A.; Peskin, Charles S.
2006
Simulations of the whirling instability by the immersed boundary method. Zbl 1133.65300
Lim, Sookkyung; Peskin, Charles S.
2004
Dynamics of a closed rod with twist and bend in fluid. Zbl 1404.92138
Lim, Sookkyung; Ferent, Anca; Wang, X. Sheldon; Peskin, Charles S.
2008
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. Zbl 1051.76016
Rosar, M. E.; Peskin, Charles S.
2001
Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001
Hoppensteadt, Frank C.; Peskin, Charles S.
2002
The fluid dynamics of heart valves: Experimental, theoretical, and computational methods. Zbl 0488.76129
Peskin, Charles S.
1982
A vortex method for blood flow through heart valves. Zbl 0428.92010
McCracken, M. F.; Peskin, C. S.
1980
Mathematics in medicine and the life sciences. Zbl 0744.92001
Hoppensteadt, Frank C.; Peskin, Charles S.
1992
Immersed boundary method for variable viscosity and variable density problems using fast constant-coefficient linear solvers. I: Numerical method and results. Zbl 1282.76088
Fai, Thomas G.; Griffith, Boyce E.; Mori, Yoichiro; Peskin, Charles S.
2013
Computational biofluid dynamics. Zbl 0786.76108
Peskin, Charles S.; McQueen, David M.
1993
Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for Stokes flow on an unbounded domain. Zbl 1220.76026
Bringley, Thomas T.; Peskin, Charles S.
2008
3-D parachute simulation by the immersed boundary method. Zbl 1242.76242
Kim, Yongsam; Peskin, Charles S.
2009
An immersed boundary energy-based method for incompressible viscoelasticity. Zbl 1245.76099
Devendran, Dharshi; Peskin, Charles S.
2012
A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024
Mori, Yoichiro; Peskin, Charles S.
2009
Fiber architecture of the left ventricular wall: An asymptotic analysis. Zbl 0664.92005
Peskin, Charles S.
1989
Staggered schemes for fluctuating hydrodynamics. Zbl 1310.76108
Usabiaga, Florencio Balboa; Bell, John B.; Delgado-Buscalioni, Rafael; Donev, Aleksandar; Fai, Thomas G.; Griffith, Boyce E.; Peskin, Charles S.
2012
A three-dimensional model of cellular electrical activity. Zbl 1129.92038
Mori, Yoichiro; Jerome, Joseph W.; Peskin, Charles S.
2007
Parametric resonance in immersed elastic boundaries. Zbl 1074.74024
Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas
2004
The role of protein flexibility in molecular motor function: Coupled diffusion in a tilted periodic potential. Zbl 1008.92004
Elston, Timothy C.; Peskin, Charles S.
2000
Drag of a flexible fiber in a 2D moving viscous fluid. Zbl 1177.76305
Zhu, Luoding; Peskin, Charles S.
2007
Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.
2010
The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement. Zbl 1346.76109
Lee, Pilhwa; Griffith, Boyce E.; Peskin, Charles S.
2010
Tether force constraints in Stokes flow by the immersed boundary method on a periodic domain. Zbl 1197.76035
Teran, Joseph M.; Peskin, Charles S.
2009
Synchrony and asynchrony in a fully stochastic neural network. Zbl 1166.92010
Deville, R. E. Lee; Peskin, Charles S.
2008
Modelling cardiac fluid dynamics and diastolic function. Zbl 0994.92016
Kovács, Sándor J.; McQueen, David M.; Peskin, Charles S.
2001
An immersed boundary method with divergence-free velocity interpolation and force spreading. Zbl 1380.76078
Bao, Yuanxun; Donev, Aleksandar; Griffith, Boyce E.; McQueen, David M.; Peskin, Charles S.
2017
A Brownian dynamics model of kinesin in three dimensions incorporating the force-extension profile of the coiled-coil cargo tether. Zbl 1334.92128
Atzberger, Paul J.; Peskin, Charles S.
2006
A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance. Zbl 1349.76585
Bao, Yuanxun; Kaye, Jason; Peskin, Charles S.
2016
A Monte Carlo method for scalar reaction diffusion equations. Zbl 0617.65126
Sherman, Arthur S.; Peskin, Charles S.
1986
Partial differential equations in biology. Zbl 0329.35001
Peskin, Charles S.
1976
On the construction of the Voronoi mesh on a sphere. Zbl 0628.65115
Augenbaum, Jeffrey M.; Peskin, Charles S.
1985
Simulation of osmotic swelling by the stochastic immersed boundary method. Zbl 1331.82056
Wu, Chen-Hung; Fai, Thomas G.; Atzberger, Paul J.; Peskin, Charles S.
2015
On the foundations of the stochastic immersed boundary method. Zbl 1158.76420
Kramer, Peter R.; Peskin, Charles S.; Atzberger, Paul J.
2008
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1988
Molecular dynamics by the backward-Euler method. Zbl 0681.92003
Peskin, Charles S.; Schlick, Tamar
1989
The immersed boundary method for two-dimensional foam with topological changes. Zbl 1373.76176
Kim, Yongsam; Seol, Yunchang; Lai, Ming-Chih; Peskin, Charles S.
2012
Homogenization of an electrophysiological model for a strand of cardiac myocytes with gap-junctional and electric-field coupling. Zbl 1198.92013
Hand, Paul E.; Peskin, Charles S.
2010
Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method. Zbl 1182.76382
Kim, Yongsam; Peskin, Charles S.
2008
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1985
Immersed boundary method for variable viscosity and variable density problems using fast constant-coefficient linear solvers. II: Theory. Zbl 1457.65048
Fai, Thomas G.; Griffith, Boyce E.; Mori, Yoichiro; Peskin, Charles S.
2014
A random-walk interpretation of the incompressible Navier-Stokes equations. Zbl 0609.60082
Peskin, Charles S.
1985
Dynamics of stochastic neuronal networks and the connections to random graph theory. Zbl 1218.05173
DeVille, R. E. Lee; Peskin, C. S.; Spencer, J. H.
2010
A microfluidic pumping mechanism driven by non-equilibrium osmotic effects. Zbl 1167.76367
Atzberger, Paul J.; Isaacson, Samuel; Peskin, Charles S.
2009
Deriving macroscopic myocardial conductivities by homogenization of microscopic models. Zbl 1173.92007
Hand, Paul E.; Griffith, Boyce E.; Peskin, Charles S.
2009
A Lagrangian fractional step method for the incompressible Navier-Stokes equations on a periodic domain. Zbl 0658.76026
Börgers, Christoph; Peskin, Charles S.
1987
Synchrony and asynchrony for neuronal dynamics defined on complex networks. Zbl 1396.92013
DeVille, R. E. Lee; Peskin, Charles S.
2012
Numerical simulations of three-dimensional foam by the immersed boundary method. Zbl 1349.76619
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.; Seol, Yunchang
2014
Protein flexibility and the correlation ratchet. Zbl 1038.92004
Elston, Timothy C.; You, Dwight; Peskin, Charles S.
2000
Electrophysiology. Zbl 1301.92012
Griffith, Boyce E.; Peskin, Charles S.
2013
Flow patterns around heart valves. Zbl 0255.76119
Peskin, Charles S.
1973
Can classical equations simulate quantum-mechanical behavior? A molecular dynamics investigation of a diatomic molecule with a Morse potential. Zbl 0693.60090
Schlick, Tamar; Peskin, Charles S.
1989
Numerical analysis of the flux and force generated by a correlation ratchet mechanism. Zbl 0991.92010
Chiu, Chichia; Peskin, Charles S.
2002
A robust numerical algorithm for studying biomolecular transport processes. Zbl 1464.92119
Wang, Hongyun; Peskin, Charles S.; Elston, Timothy C.
2003
Solving the Hodgkin-Huxley equations by a random walk method. Zbl 0641.65093
Sherman, Arthur S.; Peskin, Charles S.
1988
Computation of geodesic trajectories on tubular surfaces. Zbl 0699.65061
Sneyd, James; Peskin, Charles S.
1990
Analysis of the backward-Euler/Langevin method for molecular dynamics. Zbl 0723.60103
Peskin, Charles S.
1990
A mathematical model of granule cell generation during mouse cerebellum development. Zbl 1348.92028
Leffler, Shoshana R.; Legué, Emilie; Aristizábal, Orlando; Joyner, Alexandra L.; Peskin, Charles S.; Turnbull, Daniel H.
2016
Well-posed treatment of space-charge layers in the electroneutral limit of electrodiffusion. Zbl 1354.35174
Stinchcombe, Adam R.; Mori, Yoichiro; Peskin, Charles S.
2016
Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035
Fogelson, Aaron L.; Peskin, Charles S.
1986
Control of ovulation number in a model of ovarian follicular maturation. Zbl 0467.92007
Lacker, H. Michael; Peskin, Charles S.
1981
The influence of spatial variation in chromatin density determined by X-ray tomograms on the time to find DNA binding sites. Zbl 1283.92031
Isaacson, Samuel A.; Larabell, Carolyn A.; Le Gros, Mark A.; McQueen, David M.; Peskin, Charles S.
2013
Distortion of the arterial pulse. Zbl 0439.92006
Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary
1980
A universal programmable fiber architecture for the representation of a general incompressible linearly elastic material as a fiber-reinforced fluid. Zbl 1163.74004
Mori, Yoichiro; Peskin, Charles S.
2009
Computer simulation of voltage sensitive calcium ion channels in a dendritic spine. Zbl 1411.92048
Lee, Pilhwa; Sobie, Eric A.; Peskin, Charles S.
2013
An immersed boundary method with divergence-free velocity interpolation and force spreading. Zbl 1380.76078
Bao, Yuanxun; Donev, Aleksandar; Griffith, Boyce E.; McQueen, David M.; Peskin, Charles S.
2017
A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance. Zbl 1349.76585
Bao, Yuanxun; Kaye, Jason; Peskin, Charles S.
2016
A mathematical model of granule cell generation during mouse cerebellum development. Zbl 1348.92028
Leffler, Shoshana R.; Legué, Emilie; Aristizábal, Orlando; Joyner, Alexandra L.; Peskin, Charles S.; Turnbull, Daniel H.
2016
Well-posed treatment of space-charge layers in the electroneutral limit of electrodiffusion. Zbl 1354.35174
Stinchcombe, Adam R.; Mori, Yoichiro; Peskin, Charles S.
2016
Simulation of osmotic swelling by the stochastic immersed boundary method. Zbl 1331.82056
Wu, Chen-Hung; Fai, Thomas G.; Atzberger, Paul J.; Peskin, Charles S.
2015
Immersed boundary method for variable viscosity and variable density problems using fast constant-coefficient linear solvers. II: Theory. Zbl 1457.65048
Fai, Thomas G.; Griffith, Boyce E.; Mori, Yoichiro; Peskin, Charles S.
2014
Numerical simulations of three-dimensional foam by the immersed boundary method. Zbl 1349.76619
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.; Seol, Yunchang
2014
Immersed boundary method for variable viscosity and variable density problems using fast constant-coefficient linear solvers. I: Numerical method and results. Zbl 1282.76088
Fai, Thomas G.; Griffith, Boyce E.; Mori, Yoichiro; Peskin, Charles S.
2013
Electrophysiology. Zbl 1301.92012
Griffith, Boyce E.; Peskin, Charles S.
2013
The influence of spatial variation in chromatin density determined by X-ray tomograms on the time to find DNA binding sites. Zbl 1283.92031
Isaacson, Samuel A.; Larabell, Carolyn A.; Le Gros, Mark A.; McQueen, David M.; Peskin, Charles S.
2013
Computer simulation of voltage sensitive calcium ion channels in a dendritic spine. Zbl 1411.92048
Lee, Pilhwa; Sobie, Eric A.; Peskin, Charles S.
2013
An immersed boundary energy-based method for incompressible viscoelasticity. Zbl 1245.76099
Devendran, Dharshi; Peskin, Charles S.
2012
Staggered schemes for fluctuating hydrodynamics. Zbl 1310.76108
Usabiaga, Florencio Balboa; Bell, John B.; Delgado-Buscalioni, Rafael; Donev, Aleksandar; Fai, Thomas G.; Griffith, Boyce E.; Peskin, Charles S.
2012
The immersed boundary method for two-dimensional foam with topological changes. Zbl 1373.76176
Kim, Yongsam; Seol, Yunchang; Lai, Ming-Chih; Peskin, Charles S.
2012
Synchrony and asynchrony for neuronal dynamics defined on complex networks. Zbl 1396.92013
DeVille, R. E. Lee; Peskin, Charles S.
2012
Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.
2010
The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement. Zbl 1346.76109
Lee, Pilhwa; Griffith, Boyce E.; Peskin, Charles S.
2010
Homogenization of an electrophysiological model for a strand of cardiac myocytes with gap-junctional and electric-field coupling. Zbl 1198.92013
Hand, Paul E.; Peskin, Charles S.
2010
Dynamics of stochastic neuronal networks and the connections to random graph theory. Zbl 1218.05173
DeVille, R. E. Lee; Peskin, C. S.; Spencer, J. H.
2010
3-D parachute simulation by the immersed boundary method. Zbl 1242.76242
Kim, Yongsam; Peskin, Charles S.
2009
A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024
Mori, Yoichiro; Peskin, Charles S.
2009
Tether force constraints in Stokes flow by the immersed boundary method on a periodic domain. Zbl 1197.76035
Teran, Joseph M.; Peskin, Charles S.
2009
A microfluidic pumping mechanism driven by non-equilibrium osmotic effects. Zbl 1167.76367
Atzberger, Paul J.; Isaacson, Samuel; Peskin, Charles S.
2009
Deriving macroscopic myocardial conductivities by homogenization of microscopic models. Zbl 1173.92007
Hand, Paul E.; Griffith, Boyce E.; Peskin, Charles S.
2009
A universal programmable fiber architecture for the representation of a general incompressible linearly elastic material as a fiber-reinforced fluid. Zbl 1163.74004
Mori, Yoichiro; Peskin, Charles S.
2009
Implicit second-order immersed boundary methods with boundary mass. Zbl 1158.74533
Mori, Yoichiro; Peskin, Charles S.
2008
On the hyperelastic formulation of the immersed boundary method. Zbl 1158.74523
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca; Peskin, Charles S.
2008
Dynamics of a closed rod with twist and bend in fluid. Zbl 1404.92138
Lim, Sookkyung; Ferent, Anca; Wang, X. Sheldon; Peskin, Charles S.
2008
Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for Stokes flow on an unbounded domain. Zbl 1220.76026
Bringley, Thomas T.; Peskin, Charles S.
2008
Synchrony and asynchrony in a fully stochastic neural network. Zbl 1166.92010
Deville, R. E. Lee; Peskin, Charles S.
2008
On the foundations of the stochastic immersed boundary method. Zbl 1158.76420
Kramer, Peter R.; Peskin, Charles S.; Atzberger, Paul J.
2008
Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method. Zbl 1182.76382
Kim, Yongsam; Peskin, Charles S.
2008
An adaptive, formally second order accurate version of the immersed boundary method. Zbl 1163.76041
Griffith, Boyce E.; Hornung, Richard D.; McQueen, David M.; Peskin, Charles S.
2007
Penalty immersed boundary method for an elastic boundary with mass. Zbl 1146.76441
Kim, Yongsam; Peskin, Charles S.
2007
A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. Zbl 1124.74052
Atzberger, Paul J.; Kramer, Peter R.; Peskin, Charles S.
2007
A three-dimensional model of cellular electrical activity. Zbl 1129.92038
Mori, Yoichiro; Jerome, Joseph W.; Peskin, Charles S.
2007
Drag of a flexible fiber in a 2D moving viscous fluid. Zbl 1177.76305
Zhu, Luoding; Peskin, Charles S.
2007
2-D parachute simulation by the immersed boundary method. Zbl 1126.76043
Kim, Yongsam; Peskin, Charles S.
2006
Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations. Zbl 1109.65008
Isaacson, Samuel A.; Peskin, Charles S.
2006
A Brownian dynamics model of kinesin in three dimensions incorporating the force-extension profile of the coiled-coil cargo tether. Zbl 1334.92128
Atzberger, Paul J.; Peskin, Charles S.
2006
On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. Zbl 1115.76386
Griffith, Boyce E.; Peskin, Charles S.
2005
Simulations of the whirling instability by the immersed boundary method. Zbl 1133.65300
Lim, Sookkyung; Peskin, Charles S.
2004
Parametric resonance in immersed elastic boundaries. Zbl 1074.74024
Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas
2004
Interaction of two flapping filaments in a flowing soap film. Zbl 1186.76611
Zhu, Luoding; Peskin, Charles S.
2003
A robust numerical algorithm for studying biomolecular transport processes. Zbl 1464.92119
Wang, Hongyun; Peskin, Charles S.; Elston, Timothy C.
2003
The immersed boundary method. Zbl 1123.74309
Peskin, Charles S.
2002
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. Zbl 1130.76406
Zhu, Luoding; Peskin, Charles S.
2002
Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001
Hoppensteadt, Frank C.; Peskin, Charles S.
2002
Numerical analysis of the flux and force generated by a correlation ratchet mechanism. Zbl 0991.92010
Chiu, Chichia; Peskin, Charles S.
2002
Two-dimensional simulations of valveless pumping using the immersed boundary method. Zbl 1065.76156
Jung, Eunok; Peskin, Charles S.
2001
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. Zbl 1051.76016
Rosar, M. E.; Peskin, Charles S.
2001
Modelling cardiac fluid dynamics and diastolic function. Zbl 0994.92016
Kovács, Sándor J.; McQueen, David M.; Peskin, Charles S.
2001
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
The role of protein flexibility in molecular motor function: Coupled diffusion in a tilted periodic potential. Zbl 1008.92004
Elston, Timothy C.; Peskin, Charles S.
2000
Protein flexibility and the correlation ratchet. Zbl 1038.92004
Elston, Timothy C.; You, Dwight; Peskin, Charles S.
2000
An adaptive version of the immersed boundary method. Zbl 0953.76069
Roma, Alexandre M.; Peskin, Charles S.; Berger, Marsha J.
1999
Modeling arteriolar flow and mass transport using the immersed boundary method. Zbl 0936.76062
Arthurs, Kayne M.; Moore, Leon C.; Peskin, Charles S.; Pitman, E. Bruce; Layton, H. E.
1998
Improved volume conservation in the computation of flows with immersed elastic boundaries. Zbl 0762.92011
Peskin, Charles S.; Printz, Beth Feller
1993
An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Zbl 0787.76055
Mayo, Anita A.; Peskin, Charles S.
1993
Computational biofluid dynamics. Zbl 0786.76108
Peskin, Charles S.; McQueen, David M.
1993
Stability and instability in the computation of flows with moving immersed boundaries: A comparison of three methods. Zbl 0760.76067
Tu, Cheng; Peskin, Charles S.
1992
Mathematics in medicine and the life sciences. Zbl 0744.92001
Hoppensteadt, Frank C.; Peskin, Charles S.
1992
Computation of geodesic trajectories on tubular surfaces. Zbl 0699.65061
Sneyd, James; Peskin, Charles S.
1990
Analysis of the backward-Euler/Langevin method for molecular dynamics. Zbl 0723.60103
Peskin, Charles S.
1990
A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid. Zbl 0668.76159
Peskin, Charles S.; McQueen, David M.
1989
A three-dimensional computational method for blood flow in the heart. II: Contractile fibers. Zbl 0701.76130
McQueen, David M.; Peskin, Charles S.
1989
Fiber architecture of the left ventricular wall: An asymptotic analysis. Zbl 0664.92005
Peskin, Charles S.
1989
Molecular dynamics by the backward-Euler method. Zbl 0681.92003
Peskin, Charles S.; Schlick, Tamar
1989
Can classical equations simulate quantum-mechanical behavior? A molecular dynamics investigation of a diatomic molecule with a Morse potential. Zbl 0693.60090
Schlick, Tamar; Peskin, Charles S.
1989
A computational model of aquatic animal locomotion. Zbl 0641.76140
Fauci, Lisa J.; Peskin, Charles S.
1988
A fast numerical method for solving the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0652.76025
Fogelson, Aaron; Peskin, Charles S.
1988
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1988
Solving the Hodgkin-Huxley equations by a random walk method. Zbl 0641.65093
Sherman, Arthur S.; Peskin, Charles S.
1988
A Lagrangian fractional step method for the incompressible Navier-Stokes equations on a periodic domain. Zbl 0658.76026
Börgers, Christoph; Peskin, Charles S.
1987
A Monte Carlo method for scalar reaction diffusion equations. Zbl 0617.65126
Sherman, Arthur S.; Peskin, Charles S.
1986
Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035
Fogelson, Aaron L.; Peskin, Charles S.
1986
On the construction of the Voronoi mesh on a sphere. Zbl 0628.65115
Augenbaum, Jeffrey M.; Peskin, Charles S.
1985
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1985
A random-walk interpretation of the incompressible Navier-Stokes equations. Zbl 0609.60082
Peskin, Charles S.
1985
The fluid dynamics of heart valves: Experimental, theoretical, and computational methods. Zbl 0488.76129
Peskin, Charles S.
1982
Lectures on mathematical aspects of physiology. Zbl 0461.92004
Peskin, Charles S.
1981
Control of ovulation number in a model of ovarian follicular maturation. Zbl 0467.92007
Lacker, H. Michael; Peskin, Charles S.
1981
Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. Zbl 0447.92009
Peskin, Charles S.; McQueen, David M.
1980
A vortex method for blood flow through heart valves. Zbl 0428.92010
McCracken, M. F.; Peskin, C. S.
1980
Distortion of the arterial pulse. Zbl 0439.92006
Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary
1980
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
1977
Partial differential equations in biology. Zbl 0329.35001
Peskin, Charles S.
1976
Mathematical aspects of heart physiology. Zbl 0301.92001
Peskin, Charles S.
1975
Flow patterns around heart valves. Zbl 0255.76119
Peskin, Charles S.
1973
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
1972
all top 5

#### Cited by 3,733 Authors

 38 Peskin, Charles S. 28 Ha, Seung-Yeal 21 Griffith, Boyce E. 21 Shu, Chang 20 Lai, Mingchih 20 Li, Zhilin 18 Khoo, Boo Cheong 17 Atzberger, Paul J. 17 Glowinski, Roland 16 Fauci, Lisa J. 15 Hou, Songming 15 Pan, Tsorng-Whay 15 Tian, Fangbao 15 Wei, Guowei 14 Floryan, Jerzy M. 14 Gibou, Frédéric 14 Patankar, Neelesh A. 14 Tryggvason, Grétar 14 Udaykumar, Holavanahalli S. 14 Wang, Liqun 13 Brandt, Luca 13 Liu, Wing Kam 13 Shi, Liwei 13 Zhu, Luoding 12 Boffi, Daniele 12 Fedkiw, Ronald P. 12 Gastaldi, Lucia 12 Hsu, Ming-Chen 12 Kim, Yongsam 12 Miller, Laura A. 12 Mittal, Rajat 12 Sui, Yi 12 Sung, Hyung Jin 11 Fogelson, Aaron L. 11 Guy, Robert D. 11 Mori, Yoichiro 11 Schneider, Kai 11 Zhang, Lucy T. 10 Cortez, Ricardo 10 Shyy, Wei 10 Sotiropoulos, Fotis 9 Chew, Yong-Tian 9 Fan, Jianren 9 Fröhlich, Jochen 9 Heltai, Luca 9 Le, Duc-Vinh 9 Liu, Gui-Rong 9 Park, Hansol 9 Tan, Zhijun 8 Bazilevs, Yuri 8 Bhalla, Amneet Pal Singh 8 Čanić, Sunčica 8 Codina, Ramon 8 Colonius, Tim 8 Huang, Wei-Xi 8 Jin, Shi 8 Kempe, Tobias 8 Kim, Junseok 8 Lu, Xiyun 8 Luo, Haoxiang 8 Takeuchi, Shintaro 8 Tornberg, Anna-Karin 7 Baiges, Joan 7 Balaras, Elias 7 Belliard, Michel 7 Cottet, Georges-Henri 7 de Tullio, Marco Donato 7 Favier, Julien 7 He, Guowei 7 Juric, Damir 7 Kamensky, David 7 Layton, Anita T. 7 Lin, Chao-An 7 Lin, Tao 7 Low, Hong-Tong 7 Luo, Kun 7 Maitre, Emmanuel 7 Min, Chohong 7 Minev, Peter Dimitrov 7 Monaghan, Joseph J. 7 Muradoglu, Metin 7 Niu, Xiaodong 7 Pozrikidis, Constantine 7 Quarteroni, Alfio M. 7 Roma, Alexandre Megiorin 7 Schillinger, Dominik 7 Seol, Yunchang 7 Shelley, Michael J. 7 Stockie, John M. 7 Taira, Kunihiko 7 Wang, Wenquan 7 Xu, Sheng 7 Zhang, Xing 7 Zhang, Zhiqian 6 Akhmet, Marat Ubaydulla 6 Alben, Silas D. 6 Borazjani, Iman 6 Breugem, Wim-Paul 6 Ceniceros, Hector D. 6 Chatelain, Philippe ...and 3,633 more Authors
all top 5

#### Cited in 211 Serials

 571 Journal of Computational Physics 271 Computers and Fluids 138 Computer Methods in Applied Mechanics and Engineering 136 Journal of Fluid Mechanics 60 Computers & Mathematics with Applications 58 International Journal for Numerical Methods in Fluids 48 Physics of Fluids 45 International Journal for Numerical Methods in Engineering 40 Journal of Scientific Computing 34 Bulletin of Mathematical Biology 27 European Journal of Mechanics. B. Fluids 26 Journal of Computational and Applied Mathematics 26 Computational Mechanics 26 Communications in Computational Physics 23 Journal of Mathematical Biology 23 Journal of Theoretical Biology 22 Applied Mathematical Modelling 19 Applied Mathematics and Computation 19 Physica D 19 Chaos 18 Mathematical Biosciences 18 Applied Numerical Mathematics 17 SIAM Journal on Scientific Computing 17 Advances in Applied Mathematics and Mechanics 15 International Journal for Numerical Methods in Biomedical Engineering 13 International Journal of Computational Methods 12 Journal of Statistical Physics 12 Engineering Analysis with Boundary Elements 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Mathematics and Computers in Simulation 9 Computational & Mathematical Methods in Medicine 8 Mathematics of Computation 8 Numerical Methods for Partial Differential Equations 8 Applied Mathematics Letters 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 International Journal of Computational Fluid Dynamics 7 Acta Mechanica 7 Communications on Pure and Applied Mathematics 7 Numerische Mathematik 7 Archives of Computational Methods in Engineering 7 Acta Mechanica Sinica 6 International Journal of Heat and Mass Transfer 6 Physica A 6 Mathematical and Computer Modelling 6 SIAM Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Computational Geosciences 6 SIAM Journal on Applied Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Modern Physics Letters B 5 Fluid Dynamics 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics and Mechanics. (English Edition) 5 Computational Mathematics and Mathematical Physics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Modern Physics C 5 Nonlinear Analysis. Real World Applications 4 Biological Cybernetics 4 Journal of Mathematical Analysis and Applications 4 Automatica 4 Journal of Differential Equations 4 Quarterly of Applied Mathematics 4 Chinese Annals of Mathematics. Series B 4 Journal of Nonlinear Science 4 Advances in Computational Mathematics 4 Journal of Computational Neuroscience 4 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Modelling of Natural Phenomena 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Archive for Rational Mechanics and Analysis 3 Computer Physics Communications 3 Journal of Engineering Mathematics 3 Journal of Mathematical Physics 3 Nonlinearity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Mathematical Chemistry 3 Flow, Turbulence and Combustion 3 The ANZIAM Journal 3 Sādhanā 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 3 Mathematical Biosciences and Engineering 3 SMAI Journal of Computational Mathematics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Computational Fluid Dynamics 2 Applied Mathematics and Optimization 2 Computer Aided Geometric Design 2 Neural Networks 2 Neural Computation 2 Numerical Algorithms 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Communications in Numerical Methods in Engineering 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Science in China. Series E 2 Computing and Visualization in Science 2 Abstract and Applied Analysis ...and 111 more Serials
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#### Cited in 41 Fields

 1,558 Fluid mechanics (76-XX) 838 Numerical analysis (65-XX) 550 Mechanics of deformable solids (74-XX) 443 Biology and other natural sciences (92-XX) 305 Partial differential equations (35-XX) 74 Ordinary differential equations (34-XX) 63 Classical thermodynamics, heat transfer (80-XX) 63 Statistical mechanics, structure of matter (82-XX) 48 Probability theory and stochastic processes (60-XX) 37 Dynamical systems and ergodic theory (37-XX) 26 Mechanics of particles and systems (70-XX) 24 Systems theory; control (93-XX) 23 Computer science (68-XX) 19 Geophysics (86-XX) 14 Optics, electromagnetic theory (78-XX) 10 Functional analysis (46-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Quantum theory (81-XX) 8 Approximations and expansions (41-XX) 7 Combinatorics (05-XX) 7 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 Operator theory (47-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

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