Edit Profile (opens in new tab) Peskin, Charles S. Co-Author Distance Author ID: peskin.charles-s Published as: Peskin, Charles S.; Peskin, C. S.; Peskin, Charles more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 114 Publications since 1972, including 4 Books and 3 Additional arXiv Preprints Co-Authors: 105 Co-Authors with 97 Joint Publications 1,791 Co-Co-Authors all top 5 Co-Authors 16 single-authored 12 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 Donev, Aleksandar 3 Elston, Timothy C. 3 Fogelson, Aaron L. 3 Isaacson, Samuel A. 3 Puelz, Charles 3 Zhu, Luoding 2 Bao, Yuanxun 2 Börgers, Christoph 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 Maxian, Ondrej 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 Coleman, Ryan 1 Cortez, Ricardo 1 Danial, Zach 1 Davey, Marshall 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 Han, Seong Woo 1 Heltai, Luca 1 Hornung, Richard D. 1 Hua, Mengjian 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 Mayo, Anita A. 1 McCracken, Marjorie F. 1 Moore, Leon C. 1 Penny, Daniel J. 1 Pitman, E. Bruce 1 Printz, Beth Feller 1 Raval, Jay S. 1 Roma, Alexandre Megiorin 1 Rosar, M. E. 1 Rossi, Simone 1 Rusin, Craig G. 1 Segars, W. Paul 1 Smith, Margaret Anne 1 Sneyd, James 1 Sobie, Eric A. 1 Spencer, Joel H. 1 Sprinkle, Brennan 1 Stern, Julie V. 1 Stinchcombe, Adam R. 1 Stockie, John M. 1 Strumolo, Gary S. 1 Sturgeon, Greg 1 Surkis, A. 1 Teran, Joseph M. 1 Tu, Cheng 1 Turnbull, Daniel H. 1 Usabiaga, Florencio Balboa 1 Varela, Douglas 1 Vavalle, John P. 1 Wang, Hongyun 1 Wang, Xiaodong 1 Wells, David R. ...and 5 more Co-Authors all top 5 Serials 26 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 Mathematical Medicine and Biology 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 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 all top 5 Fields 63 Biology and other natural sciences (92-XX) 62 Fluid mechanics (76-XX) 42 Numerical analysis (65-XX) 30 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 5,489 times in 2,801 Documents Cited by ▼ Year ▼ The immersed boundary method. Zbl 1123.74309 Peskin, Charles S. 1,107 2002 Numerical analysis of blood flow in the heart. Zbl 0403.76100 Peskin, Charles S. 966 1977 Flow patterns around heart valves: A numerical method. Zbl 0244.92002 Peskin, Charles S. 718 1972 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066 Lai, Ming-Chih; Peskin, Charles S. 327 2000 An adaptive version of the immersed boundary method. Zbl 0953.76069 Roma, Alexandre M.; Peskin, Charles S.; Berger, Marsha J. 220 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. 150 1989 Mathematical aspects of heart physiology. Zbl 0301.92001 Peskin, Charles S. 138 1975 Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. Zbl 1130.76406 Zhu, Luoding; Peskin, Charles S. 132 2002 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. 127 2005 Improved volume conservation in the computation of flows with immersed elastic boundaries. Zbl 0762.92011 Peskin, Charles S.; Printz, Beth Feller 113 1993 A computational model of aquatic animal locomotion. Zbl 0641.76140 Fauci, Lisa J.; Peskin, Charles S. 107 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. 104 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. 82 1992 Implicit second-order immersed boundary methods with boundary mass. Zbl 1158.74533 Mori, Yoichiro; Peskin, Charles S. 63 2008 Penalty immersed boundary method for an elastic boundary with mass. Zbl 1146.76441 Kim, Yongsam; Peskin, Charles S. 59 2007 On the hyperelastic formulation of the immersed boundary method. Zbl 1158.74523 Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca; Peskin, Charles S. 57 2008 Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. Zbl 0447.92009 Peskin, Charles S.; McQueen, David M. 51 1980 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. 44 1988 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. 41 2007 Interaction of two flapping filaments in a flowing soap film. Zbl 1186.76611 Zhu, Luoding; Peskin, Charles S. 40 2003 A three-dimensional computational method for blood flow in the heart. II: Contractile fibers. Zbl 0701.76130 McQueen, David M.; Peskin, Charles S. 36 1989 An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Zbl 0787.76055 Mayo, Anita A.; Peskin, Charles S. 35 1993 2-D parachute simulation by the immersed boundary method. Zbl 1126.76043 Kim, Yongsam; Peskin, Charles S. 35 2006 Lectures on mathematical aspects of physiology. Zbl 0461.92004 Peskin, Charles S. 33 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. 30 1998 The fluid dynamics of heart valves: Experimental, theoretical, and computational methods. Zbl 0488.76129 Peskin, Charles S. 29 1982 Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations. Zbl 1109.65008 Isaacson, Samuel A.; Peskin, Charles S. 28 2006 Two-dimensional simulations of valveless pumping using the immersed boundary method. Zbl 1065.76156 Jung, Eunok; Peskin, Charles S. 27 2001 Simulations of the whirling instability by the immersed boundary method. Zbl 1133.65300 Lim, Sookkyung; Peskin, Charles S. 26 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. 22 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. 20 2008 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. 20 2013 Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. Zbl 1051.76016 Rosar, M. E.; Peskin, Charles S. 19 2001 Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 2002 Mathematics in medicine and the life sciences. Zbl 0744.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 1992 A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance. Zbl 1349.76585 Bao, Yuanxun; Kaye, Jason; Peskin, Charles S. 18 2016 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. 18 2017 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. 17 2009 A vortex method for blood flow through heart valves. Zbl 0428.92010 McCracken, M. F.; Peskin, C. S. 17 1980 An immersed boundary energy-based method for incompressible viscoelasticity. Zbl 1245.76099 Devendran, Dharshi; Peskin, Charles S. 17 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. 17 2012 Computational biofluid dynamics. Zbl 0786.76108 Peskin, Charles S.; McQueen, David M. 15 1993 A three-dimensional model of cellular electrical activity. Zbl 1129.92038 Mori, Yoichiro; Jerome, Joseph W.; Peskin, Charles S. 15 2007 3-D parachute simulation by the immersed boundary method. Zbl 1242.76242 Kim, Yongsam; Peskin, Charles S. 15 2009 Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139 Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S. 15 2010 Fiber architecture of the left ventricular wall: An asymptotic analysis. Zbl 0664.92005 Peskin, Charles S. 14 1989 Parametric resonance in immersed elastic boundaries. Zbl 1074.74024 Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas 14 2004 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. 13 2010 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. 12 2000 Synchrony and asynchrony in a fully stochastic neural network. Zbl 1166.92010 Deville, R. E. Lee; Peskin, Charles S. 12 2008 Drag of a flexible fiber in a 2D moving viscous fluid. Zbl 1177.76305 Zhu, Luoding; Peskin, Charles S. 12 2007 A robust numerical algorithm for studying biomolecular transport processes. Zbl 1464.92119 Wang, Hongyun; Peskin, Charles S.; Elston, Timothy C. 12 2003 Modelling cardiac fluid dynamics and diastolic function. Zbl 0994.92016 Kovács, Sándor J.; McQueen, David M.; Peskin, Charles S. 11 2001 Partial differential equations in biology. Zbl 0329.35001 Peskin, Charles S. 11 1976 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. 11 2015 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. 10 2006 Tether force constraints in Stokes flow by the immersed boundary method on a periodic domain. Zbl 1197.76035 Teran, Joseph M.; Peskin, Charles S. 10 2009 On the construction of the Voronoi mesh on a sphere. Zbl 0628.65115 Augenbaum, Jeffrey M.; Peskin, Charles S. 9 1985 On the foundations of the stochastic immersed boundary method. Zbl 1158.76420 Kramer, Peter R.; Peskin, Charles S.; Atzberger, Paul J. 8 2008 A Monte Carlo method for scalar reaction diffusion equations. Zbl 0617.65126 Sherman, Arthur S.; Peskin, Charles S. 8 1986 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011 LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 7 1988 Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method. Zbl 1182.76382 Kim, Yongsam; Peskin, Charles S. 7 2008 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. 7 2014 Molecular dynamics by the backward-Euler method. Zbl 0681.92003 Peskin, Charles S.; Schlick, Tamar 6 1989 A random-walk interpretation of the incompressible Navier-Stokes equations. Zbl 0609.60082 Peskin, Charles S. 6 1985 The immersed boundary method for two-dimensional foam with topological changes. Zbl 1373.76176 Kim, Yongsam; Seol, Yunchang; Lai, Ming-Chih; Peskin, Charles S. 6 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. 6 2010 Electrophysiology. Zbl 1301.92012 Griffith, Boyce E.; Peskin, Charles S. 6 2013 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. 5 2010 A microfluidic pumping mechanism driven by non-equilibrium osmotic effects. Zbl 1167.76367 Atzberger, Paul J.; Isaacson, Samuel; Peskin, Charles S. 5 2009 Deriving macroscopic myocardial conductivities by homogenization of microscopic models. Zbl 1173.92007 Hand, Paul E.; Griffith, Boyce E.; Peskin, Charles S. 5 2009 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130 LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 5 1985 Numerical simulations of three-dimensional foam by the immersed boundary method. Zbl 1349.76619 Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.; Seol, Yunchang 5 2014 Flow patterns around heart valves. Zbl 0255.76119 Peskin, Charles S. 4 1973 A Lagrangian fractional step method for the incompressible Navier-Stokes equations on a periodic domain. Zbl 0658.76026 Börgers, Christoph; Peskin, Charles S. 3 1987 Protein flexibility and the correlation ratchet. Zbl 1038.92004 Elston, Timothy C.; You, Dwight; Peskin, Charles S. 3 2000 Synchrony and asynchrony for neuronal dynamics defined on complex networks. Zbl 1396.92013 DeVille, R. E. Lee; Peskin, Charles S. 3 2012 An analysis of the numerical stability of the immersed boundary method. Zbl 07568539 Hua, Mengjian; Peskin, Charles S. 3 2022 Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035 Fogelson, Aaron L.; Peskin, Charles S. 2 1986 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. 2 1989 Numerical analysis of the flux and force generated by a correlation ratchet mechanism. Zbl 0991.92010 Chiu, Chichia; Peskin, Charles S. 2 2002 Solving the Hodgkin-Huxley equations by a random walk method. Zbl 0641.65093 Sherman, Arthur S.; Peskin, Charles S. 1 1988 Fractal dimension of an aortic heart valve leaflet. Zbl 0900.92076 Stern, Julie V.; Peskin, Charles S. 1 1994 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. 1 2009 Control of ovulation number in a model of ovarian follicular maturation. Zbl 0467.92007 Lacker, H. Michael; Peskin, Charles S. 1 1981 A mathematical method for unique determination of cross-bridge properties from steady-state mechanical and energetic experiments on macroscopic muscle. Zbl 0588.92004 Lacker, H. Michael; Peskin, Charles S. 1 1986 Computation of geodesic trajectories on tubular surfaces. Zbl 0699.65061 Sneyd, James; Peskin, Charles S. 1 1990 Analysis of the backward-Euler/Langevin method for molecular dynamics. Zbl 0723.60103 Peskin, Charles S. 1 1990 Distortion of the arterial pulse. Zbl 0439.92006 Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary 1 1980 Well-posed treatment of space-charge layers in the electroneutral limit of electrodiffusion. Zbl 1354.35174 Stinchcombe, Adam R.; Mori, Yoichiro; Peskin, Charles S. 1 2016 An immersed boundary method with subgrid resolution and improved numerical stability applied to slender bodies in Stokes flow. Zbl 1452.65371 Maxian, Ondrej; Peskin, Charles S. 1 2020 Computer simulation of voltage sensitive calcium ion channels in a dendritic spine. Zbl 1411.92048 Lee, Pilhwa; Sobie, Eric A.; Peskin, Charles S. 1 2013 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. 1 2016 A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. Zbl 1464.92075 Yi, Chung-Seon; Fogelson, Aaron L.; Keener, James P.; Peskin, Charles S. 1 2003 Analysis, simulation, and optimization of stochastic vesicle dynamics in synaptic transmission. Zbl 1431.92027 Zhang, Calvin; Peskin, Charles S. 1 2020 Model based conjectures on mammalian clock controversies. Zbl 1447.92008 Forger, Daniel B.; Peskin, Charles S. 1 2004 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. 1 2013 An analysis of the numerical stability of the immersed boundary method. Zbl 07568539 Hua, Mengjian; Peskin, Charles S. 3 2022 An immersed boundary method with subgrid resolution and improved numerical stability applied to slender bodies in Stokes flow. Zbl 1452.65371 Maxian, Ondrej; Peskin, Charles S. 1 2020 Analysis, simulation, and optimization of stochastic vesicle dynamics in synaptic transmission. Zbl 1431.92027 Zhang, Calvin; Peskin, Charles S. 1 2020 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. 18 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. 18 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. 1 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. 1 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. 11 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. 7 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 5 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. 20 2013 Electrophysiology. Zbl 1301.92012 Griffith, Boyce E.; Peskin, Charles S. 6 2013 Computer simulation of voltage sensitive calcium ion channels in a dendritic spine. Zbl 1411.92048 Lee, Pilhwa; Sobie, Eric A.; Peskin, Charles S. 1 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. 1 2013 An immersed boundary energy-based method for incompressible viscoelasticity. Zbl 1245.76099 Devendran, Dharshi; Peskin, Charles S. 17 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. 17 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. 6 2012 Synchrony and asynchrony for neuronal dynamics defined on complex networks. Zbl 1396.92013 DeVille, R. E. Lee; Peskin, Charles S. 3 2012 Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139 Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S. 15 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. 13 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. 6 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. 5 2010 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. 17 2009 3-D parachute simulation by the immersed boundary method. Zbl 1242.76242 Kim, Yongsam; Peskin, Charles S. 15 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. 10 2009 A microfluidic pumping mechanism driven by non-equilibrium osmotic effects. Zbl 1167.76367 Atzberger, Paul J.; Isaacson, Samuel; Peskin, Charles S. 5 2009 Deriving macroscopic myocardial conductivities by homogenization of microscopic models. Zbl 1173.92007 Hand, Paul E.; Griffith, Boyce E.; Peskin, Charles S. 5 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. 1 2009 Implicit second-order immersed boundary methods with boundary mass. Zbl 1158.74533 Mori, Yoichiro; Peskin, Charles S. 63 2008 On the hyperelastic formulation of the immersed boundary method. Zbl 1158.74523 Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca; Peskin, Charles S. 57 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. 22 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. 20 2008 Synchrony and asynchrony in a fully stochastic neural network. Zbl 1166.92010 Deville, R. E. Lee; Peskin, Charles S. 12 2008 On the foundations of the stochastic immersed boundary method. Zbl 1158.76420 Kramer, Peter R.; Peskin, Charles S.; Atzberger, Paul J. 8 2008 Numerical study of incompressible fluid dynamics with nonuniform density by the immersed boundary method. Zbl 1182.76382 Kim, Yongsam; Peskin, Charles S. 7 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. 104 2007 Penalty immersed boundary method for an elastic boundary with mass. Zbl 1146.76441 Kim, Yongsam; Peskin, Charles S. 59 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. 41 2007 A three-dimensional model of cellular electrical activity. Zbl 1129.92038 Mori, Yoichiro; Jerome, Joseph W.; Peskin, Charles S. 15 2007 Drag of a flexible fiber in a 2D moving viscous fluid. Zbl 1177.76305 Zhu, Luoding; Peskin, Charles S. 12 2007 2-D parachute simulation by the immersed boundary method. Zbl 1126.76043 Kim, Yongsam; Peskin, Charles S. 35 2006 Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations. Zbl 1109.65008 Isaacson, Samuel A.; Peskin, Charles S. 28 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. 10 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. 127 2005 Simulations of the whirling instability by the immersed boundary method. Zbl 1133.65300 Lim, Sookkyung; Peskin, Charles S. 26 2004 Parametric resonance in immersed elastic boundaries. Zbl 1074.74024 Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas 14 2004 Model based conjectures on mammalian clock controversies. Zbl 1447.92008 Forger, Daniel B.; Peskin, Charles S. 1 2004 Interaction of two flapping filaments in a flowing soap film. Zbl 1186.76611 Zhu, Luoding; Peskin, Charles S. 40 2003 A robust numerical algorithm for studying biomolecular transport processes. Zbl 1464.92119 Wang, Hongyun; Peskin, Charles S.; Elston, Timothy C. 12 2003 A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. Zbl 1464.92075 Yi, Chung-Seon; Fogelson, Aaron L.; Keener, James P.; Peskin, Charles S. 1 2003 The immersed boundary method. Zbl 1123.74309 Peskin, Charles S. 1,107 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. 132 2002 Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 2002 Numerical analysis of the flux and force generated by a correlation ratchet mechanism. Zbl 0991.92010 Chiu, Chichia; Peskin, Charles S. 2 2002 Two-dimensional simulations of valveless pumping using the immersed boundary method. Zbl 1065.76156 Jung, Eunok; Peskin, Charles S. 27 2001 Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. Zbl 1051.76016 Rosar, M. E.; Peskin, Charles S. 19 2001 Modelling cardiac fluid dynamics and diastolic function. Zbl 0994.92016 Kovács, Sándor J.; McQueen, David M.; Peskin, Charles S. 11 2001 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066 Lai, Ming-Chih; Peskin, Charles S. 327 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. 12 2000 Protein flexibility and the correlation ratchet. Zbl 1038.92004 Elston, Timothy C.; You, Dwight; Peskin, Charles S. 3 2000 An adaptive version of the immersed boundary method. Zbl 0953.76069 Roma, Alexandre M.; Peskin, Charles S.; Berger, Marsha J. 220 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. 30 1998 Fractal dimension of an aortic heart valve leaflet. Zbl 0900.92076 Stern, Julie V.; Peskin, Charles S. 1 1994 Improved volume conservation in the computation of flows with immersed elastic boundaries. Zbl 0762.92011 Peskin, Charles S.; Printz, Beth Feller 113 1993 An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Zbl 0787.76055 Mayo, Anita A.; Peskin, Charles S. 35 1993 Computational biofluid dynamics. Zbl 0786.76108 Peskin, Charles S.; McQueen, David M. 15 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. 82 1992 Mathematics in medicine and the life sciences. Zbl 0744.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 1992 Computation of geodesic trajectories on tubular surfaces. Zbl 0699.65061 Sneyd, James; Peskin, Charles S. 1 1990 Analysis of the backward-Euler/Langevin method for molecular dynamics. Zbl 0723.60103 Peskin, Charles S. 1 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. 150 1989 A three-dimensional computational method for blood flow in the heart. II: Contractile fibers. Zbl 0701.76130 McQueen, David M.; Peskin, Charles S. 36 1989 Fiber architecture of the left ventricular wall: An asymptotic analysis. Zbl 0664.92005 Peskin, Charles S. 14 1989 Molecular dynamics by the backward-Euler method. Zbl 0681.92003 Peskin, Charles S.; Schlick, Tamar 6 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. 2 1989 A computational model of aquatic animal locomotion. Zbl 0641.76140 Fauci, Lisa J.; Peskin, Charles S. 107 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. 44 1988 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011 LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 7 1988 Solving the Hodgkin-Huxley equations by a random walk method. Zbl 0641.65093 Sherman, Arthur S.; Peskin, Charles S. 1 1988 A Lagrangian fractional step method for the incompressible Navier-Stokes equations on a periodic domain. Zbl 0658.76026 Börgers, Christoph; Peskin, Charles S. 3 1987 A Monte Carlo method for scalar reaction diffusion equations. Zbl 0617.65126 Sherman, Arthur S.; Peskin, Charles S. 8 1986 Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035 Fogelson, Aaron L.; Peskin, Charles S. 2 1986 A mathematical method for unique determination of cross-bridge properties from steady-state mechanical and energetic experiments on macroscopic muscle. Zbl 0588.92004 Lacker, H. Michael; Peskin, Charles S. 1 1986 On the construction of the Voronoi mesh on a sphere. Zbl 0628.65115 Augenbaum, Jeffrey M.; Peskin, Charles S. 9 1985 A random-walk interpretation of the incompressible Navier-Stokes equations. Zbl 0609.60082 Peskin, Charles S. 6 1985 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130 LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 5 1985 The fluid dynamics of heart valves: Experimental, theoretical, and computational methods. Zbl 0488.76129 Peskin, Charles S. 29 1982 Lectures on mathematical aspects of physiology. Zbl 0461.92004 Peskin, Charles S. 33 1981 Control of ovulation number in a model of ovarian follicular maturation. Zbl 0467.92007 Lacker, H. Michael; Peskin, Charles S. 1 1981 Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. Zbl 0447.92009 Peskin, Charles S.; McQueen, David M. 51 1980 A vortex method for blood flow through heart valves. Zbl 0428.92010 McCracken, M. F.; Peskin, C. S. 17 1980 Distortion of the arterial pulse. Zbl 0439.92006 Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary 1 1980 Numerical analysis of blood flow in the heart. Zbl 0403.76100 Peskin, Charles S. 966 1977 Partial differential equations in biology. Zbl 0329.35001 Peskin, Charles S. 11 1976 Mathematical aspects of heart physiology. Zbl 0301.92001 Peskin, Charles S. 138 1975 Flow patterns around heart valves. Zbl 0255.76119 Peskin, Charles S. 4 1973 Flow patterns around heart valves: A numerical method. Zbl 0244.92002 Peskin, Charles S. 718 1972 all cited Publications top 5 cited Publications all top 5 Cited by 4,804 Authors 46 Ha, Seung-Yeal 39 Peskin, Charles S. 30 Griffith, Boyce E. 30 Shu, Chang 28 Lai, Mingchih 23 Li, Zhilin 19 Khoo, Boo Cheong 18 Atzberger, Paul J. 17 Glowinski, Roland 17 Tian, Fangbao 17 Wang, Liqun 16 Boffi, Daniele 16 Brandt, Luca 16 Fauci, Lisa J. 16 Gastaldi, Lucia 16 Patankar, Neelesh A. 15 Floryan, Jerzy M. 15 Gibou, Frédéric 15 Hou, Songming 15 Mori, Yoichiro 15 Pan, Tsorng-Whay 15 Park, Hansol 15 Tryggvason, Grétar 15 Wei, Guowei 15 Wu, Jie 14 Bhalla, Amneet Pal Singh 14 Fogelson, Aaron L. 14 Udaykumar, Holavanahalli S. 14 Zhu, Luoding 13 Heltai, Luca 13 Hsu, Ming-Chen 13 Liu, Wing Kam 13 Miller, Laura A. 13 Shi, Liwei 13 Sung, Hyung Jin 13 Tan, Zhijun 13 Zhang, Lucy T. 12 Fedkiw, Ronald P. 12 Kim, Yongsam 12 Mittal, Rajat 12 Sotiropoulos, Fotis 12 Sui, Yi 12 Ying, Wenjun 11 Fröhlich, Jochen 11 Guy, Robert D. 11 Kamensky, David 11 Kim, Junseok 11 Quarteroni, Alfio M. 11 Schneider, Kai 11 Seol, Yunchang 10 Colonius, Tim 10 Cortez, Ricardo 10 Shyy, Wei 9 Bazilevs, Yuri 9 Čanić, Sunčica 9 Chew, Yong-Tian 9 Codina, Ramon 9 de Tullio, Marco Donato 9 Fan, Jianren 9 Favier, Julien 9 Jin, Shi 9 Kim, Dohyun 9 Le, Duc-Vinh 9 Liu, Gui-Rong 9 Picano, Francesco 9 Scovazzi, Guglielmo 9 Wachs, Anthony 8 Alben, Silas D. 8 Baiges, Joan 8 Balaras, Elias 8 Belliard, Michel 8 De Rosis, Alessandro 8 Fernández, Miguel Ángel 8 He, Guowei 8 Huang, Wei-Xi 8 Iollo, Angelo 8 Kempe, Tobias 8 Layton, Anita T. 8 Lu, Xiyun 8 Luo, Haoxiang 8 Luo, Kun 8 Minev, Peter Dimitrov 8 Muradoglu, Metin 8 Roma, Alexandre Megiorin 8 Shelley, Michael J. 8 Taira, Kunihiko 8 Takeuchi, Shintaro 8 Tornberg, Anna-Karin 8 Verzicco, Roberto 8 Xu, Fei 8 Zhao, Shan 7 Borazjani, Iman 7 Chatelain, Philippe 7 Cottet, Georges-Henri 7 Fricks, John 7 Huang, Haibo 7 Huang, Huaxiong 7 Juric, Damir 7 Lin, Chao-An 7 Lin, Tao ...and 4,704 more Authors all top 5 Cited in 242 Serials 745 Journal of Computational Physics 309 Computers and Fluids 192 Computer Methods in Applied Mechanics and Engineering 165 Journal of Fluid Mechanics 75 Computers & Mathematics with Applications 58 International Journal for Numerical Methods in Fluids 51 International Journal for Numerical Methods in Engineering 48 Journal of Scientific Computing 48 Physics of Fluids 37 Bulletin of Mathematical Biology 37 Communications in Computational Physics 33 Journal of Computational and Applied Mathematics 31 European Journal of Mechanics. B. Fluids 30 Computational Mechanics 28 Applied Mathematical Modelling 25 Journal of Theoretical Biology 24 Journal of Mathematical Biology 24 Applied Numerical Mathematics 23 Applied Mathematics and Computation 23 Physica D 21 SIAM Journal on Scientific Computing 19 Mathematical Biosciences 19 Chaos 18 Computer Physics Communications 18 Advances in Applied Mathematics and Mechanics 16 International Journal of Computational Fluid Dynamics 16 International Journal of Computational Methods 15 International Journal for Numerical Methods in Biomedical Engineering 14 Mathematics and Computers in Simulation 14 Engineering Analysis with Boundary Elements 13 Journal of Statistical Physics 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Numerical Methods for Partial Differential Equations 9 Acta Mechanica 9 Numerische Mathematik 9 Applied Mathematics Letters 9 SIAM Journal on Applied Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 9 Computational & Mathematical Methods in Medicine 8 Communications on Pure and Applied Mathematics 8 Mathematics of Computation 8 SIAM Journal on Numerical Analysis 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 SIAM Journal on Applied Dynamical Systems 7 Journal of Engineering Mathematics 7 Archives of Computational Methods in Engineering 7 Discrete and Continuous Dynamical Systems. Series B 7 Acta Mechanica Sinica 6 International Journal of Heat and Mass Transfer 6 Physica A 6 Journal of Differential Equations 6 Mathematical and Computer Modelling 6 Computational Mathematics and Mathematical Physics 6 Computational and Applied Mathematics 6 Advances in Computational Mathematics 6 Mathematical Problems in Engineering 6 Computational Geosciences 5 Modern Physics Letters B 5 Fluid Dynamics 5 Journal of Mathematical Analysis and Applications 5 Nonlinearity 5 Chaos, Solitons and Fractals 5 Automatica 5 Quarterly of Applied Mathematics 5 Applied Mathematics and Mechanics. (English Edition) 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Nonlinear Science 5 International Journal of Modern Physics C 5 Nonlinear Analysis. Real World Applications 5 Networks and Heterogeneous Media 4 Archive for Rational Mechanics and Analysis 4 Biological Cybernetics 4 Journal of Mathematical Physics 4 Chinese Annals of Mathematics. Series B 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Journal of Computational Neuroscience 4 Multiscale Modeling & Simulation 4 Mathematical Biosciences and Engineering 4 Mathematical Modelling of Natural Phenomena 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mathematical Methods in the Applied Sciences 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 SIAM Review 3 Bulletin of the American Mathematical Society. New Series 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 International Journal of Numerical Analysis and Modeling 3 Communications in Applied Mathematics and Computational Science 3 Journal of Physics A: Mathematical and Theoretical 3 East Asian Journal on Applied Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 SMAI Journal of Computational Mathematics 2 General Relativity and Gravitation 2 Theoretical and Computational Fluid Dynamics ...and 142 more Serials all top 5 Cited in 43 Fields 1,941 Fluid mechanics (76-XX) 1,144 Numerical analysis (65-XX) 721 Mechanics of deformable solids (74-XX) 526 Biology and other natural sciences (92-XX) 430 Partial differential equations (35-XX) 91 Ordinary differential equations (34-XX) 84 Statistical mechanics, structure of matter (82-XX) 73 Classical thermodynamics, heat transfer (80-XX) 62 Probability theory and stochastic processes (60-XX) 44 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 29 Systems theory; control (93-XX) 28 Computer science (68-XX) 25 Geophysics (86-XX) 21 Optics, electromagnetic theory (78-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 13 Functional analysis (46-XX) 12 Approximations and expansions (41-XX) 11 Quantum theory (81-XX) 8 Combinatorics (05-XX) 8 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 7 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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