Publications

Z. Chao, W. Geng, R. Krasny (2023) Integral equation method for the 1D steady-state Poisson-Nernst-Planck equations, Journal of Computational Electronics 22, 1396-1408. [journal]

L. Xu, R. Krasny (2023) Dynamics of elliptical vortices with continuous profiles, Physical Review Fluids 8, 024702. [journal]

L. Wilson, W. Geng, R. Krasny (2022) TABI-PB 2.0: An improved version of the Treecode-Accelerated Boundary Integral Poisson-Boltzmann solver, Journal of Physical Chemistry B 126, 7104-7113. [journal]

L. Wilson, R. Krasny, T. Luchko (2022) Accelerating the 3D-RISM theory of molecular solvation with treecode summation and cut-offs, Journal of Computational Chemistry 43, 1251-1270. [journal]

L. Wilson, J. Hu, J. Chen, R. Krasny, W. Geng (2022) Computing electrostatic binding energy with the TABI Poisson-Boltzmann solver, Communications in Information and Systems 22, 247-273. [journal]

L. Wilson, N. Vaughn, R. Krasny (2021) A GPU-accelerated fast multipole method based on barycentric Lagrange interpolation and dual tree traversal, Computer Physics Communications 265, 108017. [journal]

N. Vaughn, V. Gavini, R. Krasny (2021) Treecode-accelerated Green Iteration for Kohn-Sham density functional theory, Journal of Computational Physics 430, 110101. [journal]

R. Krasny, L. Xu (2021) Vorticity and circulation decay in the viscous Lamb dipole, Fluid Dynamics Research 53, 015514. [journal]

J. Chen, J. Hu, Y. Xu, R. Krasny, W.H. Geng (2021) Computing protein pKas using the TABI Poisson-Boltzmann solver, Journal of Computational Biophysics and Chemistry 20, 175-187. [journal]

L. Wilson, R. Krasny (2021) Comparison of the MSMS and NanoShaper molecular surface triangulation codes in the TABI Poisson-Boltzmann solver, Journal of Computational Chemistry 42, 1552-1560. [journal]

N. Vaughn, L. Wilson, R. Krasny (2020) A GPU-accelerated barycentric Lagrange treecode, 2020 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), 701-710. [website] [pdf]

L. Wang, R. Krasny, S. Tlupova (2020) A kernel-independent treecode based on barycentric Lagrange interpolation, Communications in Computational Physics 28, 1415-1436. [journal]

R. Krasny, L. Wang (2019) A treecode based on barycentric Hermite interpolation for electrostatic particle interactions, Computational and Mathematical Biophysics 7, 73-84. [journal]

L. Wang, S. Tlupova, R. Krasny (2019) A treecode algorithm for 3D Stokeslets and stresslets, Advances in Applied Mathematics and Mechanics 11, 737-756. [journal] [pdf]

E. Jurrus, D. Engel, K. Star, K. Monson, J. Brandi, L.E. Felberg, D.H. Brookes, L. Wilson, J. Chen, K. Liles, M. Chun, P. Li, D.W. Gohara, T. Dolinsky, R. Konecny, D.R. Koes, J.E. Nielsen, T. Head-Gordon, W.H. Geng, R. Krasny, G.-W. Wei, M.J. Holst, J.A. McCammon, N.A. Baker (2018) Improvements to the APBS biomolecular solvation software suite, Protein Science 27, 112-128. [journal] [preprint]

P.A. Bosler, J. Kent, R. Krasny, C. Jablonowski (2017) A Lagrangian particle method with remeshing for tracer transport on the sphere, Journal of Computational Physics 340, 639-654. [journal] [preprint]

L. Xu, M. Nitsche, R. Krasny (2017) Computation of the starting vortex flow past a flat plate, Proceedings of the 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada, J.M. Floryan (ed.), Elsevier, Procedia IUTAM 20, 136-143. [article]

P. Bosler, L. Wang, C. Jablonowski, R. Krasny (2014) A Lagrangian particle/panel method for the barotropic vorticity equations on a rotating sphere, Fluid Dynamics Research 46, 031406. [journal] [preprint]

H.A. Boateng, R. Krasny (2013) Comparison of treecodes for computing electrostatic potentials in charged particle systems with disjoint targets and sources, Journal of Computational Chemistry 34, 2159-2167. [journal] [preprint]

W.H. Geng, R. Krasny (2013) A treecode-accelerated boundary integral Poisson-Boltzmann solver for solvated biomolecules, Journal of Computational Physics 247, 62-78. [journal] [preprint]

K.J. Bergemann, R. Krasny, S.R. Forrest (2012) Thermal properties of organic light-emitting diodes, Organic Electronics 13, 1565-1568. [journal] [pdf]

R. Krasny, L. Wang (2011) Fast evaluation of multiquadric RBF sums by a Cartesian treecode, SIAM Journal on Scientific Computing 33, 2341-2355. [pdf]

H. Feng, L. Kaganovskiy, R. Krasny (2009) Azimuthal instability of a vortex ring computed by a vortex sheet panel method, Fluid Dynamics Research 41, 051405. [pdf]

P. Li, H. Johnston, R. Krasny (2009) A Cartesian treecode for screened Coulomb interactions, Journal of Computational Physics 228, 3858-3868. [pdf]

A.J. Christlieb, R. Krasny, J.P. Verboncoeur, J.W. Emhoff, I.D. Boyd (2006) Grid-free plasma simulation techniques, IEEE Transactions on Plasma Science 34, 149-165. [pdf]

A.J. Christlieb, R. Krasny, J.P. Verboncoeur (2004) A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap, Computer Physics Communications 164, 306-310. [pdf]

A.J. Christlieb, R. Krasny, J.P. Verboncoeur (2004) Efficient particle simulation of a virtual cathode using a grid-free treecode Poisson solver, IEEE Transactions on Plasma Science 32, 384-389. [pdf]

D. Liu, Z.-H. Duan, R. Krasny, J. Zhu (2004) Parallel implementation of the treecode Ewald method, Proceedings of the 18th International Parallel and Distributed Processing Symposium (IPDPS'04), vol. 14, pp. 236a, Santa Fe, New Mexico, CD-ROM, IEEE Computer Society Press. [pdf] [website]

M. Nitsche, M.A. Taylor, R. Krasny (2003) Comparison of regularizations of vortex sheet motion, Proceedings of the 2nd MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, Massachusetts, #235, 1-4, K.J. Bathe (ed.), Elsevier. [pdf]

Z.-H. Duan, R. Krasny (2003) A treecode algorithm for computing Ewald summation of dipolar systems, Proceedings of the 2003 ACM Symposium on Applied Computing, Session: Computational Science, Melbourne, Florida, 172-177, Association for Computing Machinery. [pdf] [website]

R. Krasny, K. Lindsay, M. Nitsche (2002) Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger, Proceedings of the NATO ARW and IUTAM Symposium on Tubes, Sheets and Singularities in Fluid Dynamics, Zakopane, Poland, K. Bajer, H.K. Moffatt (eds.), Fluid Mechanics and its Applications 71, 3-12, Kluwer. [pdf]

H. Johnston, R. Krasny (2002) Fourth-order finite difference simulation of a differentially heated cavity, International Journal for Numerical Methods in Fluids 40, 1031-1037. (DOI: 10.1002/fld.389) [pdf]

R. Krasny, Z.-H. Duan (2002) Treecode algorithms for computing nonbonded particle interactions, in "Computational Methods for Macromolecules: Challenges and Applications", Proceedings of the 3rd International Workshop on Algorithms for Macromolecular Modeling, New York, New York, T. Schlick, H.H. Gan (eds.), Lecture Notes in Computational Science and Engineering 24, 359-380, Springer. [pdf]

R. Krasny, M. Nitsche (2002) The onset of chaos in vortex sheet flow, Journal of Fluid Mechanics 454, 47-69. [pdf]

K. Lindsay, R. Krasny (2001) A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow, Journal of Computational Physics 172, 879-907. [pdf]

Z.-H. Duan, R. Krasny (2001) An adaptive treecode for computing nonbonded potential energy in classical molecular systems, Journal of Computational Chemistry 22, 184-195. [pdf]

Z.-H. Duan, R. Krasny (2000) An Ewald summation based multipole method, Journal of Chemical Physics 113, 3492-3495. [pdf]

M. Nitsche, R. Krasny (1994) A numerical study of vortex ring formation at the edge of a circular tube, Journal of Fluid Mechanics 276, 139-161. [pdf]

D.H. Bailey, R. Krasny, R. Pelz (1993) Multiple precision, multiple processor vortex sheet roll-up computation, Proceedings of the 6th SIAM Conference on Parallel Processing for Scientific Computing, 52-56. [pdf]

R. Krasny (1993) Vortex sheet roll-up, Proceedings of the RIMS Workshop on Unstable and Turbulent Motion of Fluid, Kyoto, Japan, S. Kida (ed.), 43-49, World Scientific. [pdf]

R. Krasny (1993) Viscous simulation of wake patterns, Proceedings of the NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods, Grenoble, France, J.T. Beale, G.-H. Cottet, S. Huberson (eds.), NATO ASI Series 395, 145-151, Kluwer. [pdf]

T.Y. Hou, J. Lowengrub, R. Krasny (1991) Convergence of a point-vortex method for vortex sheets, SIAM Journal on Numerical Analysis 28, 308-320. [pdf]

R. Krasny (1991) Vortex sheet computations: roll-up, wakes, separation, Proceedings of the AMS Summer Seminar in Vortex Dynamics and Vortex Methods, Seattle, Washington, C.R. Anderson, C. Greengard (eds.), Lectures in Applied Mathematics 28, 385-402, American Mathematical Society. [pdf]

R. Krasny (1990) Computing vortex sheet motion, Proceedings of the International Congress of Mathematicians, Kyoto, Japan, Springer-Verlag, 1573-1583. [pdf]

R. Krasny (1990) Vortex sheet roll-up due to the motion of a flat plate, Proceedings of the International Symposium on Nonsteady Fluid Dynamics, Toronto, Canada, J.A. Miller, D.P. Telionis (eds.), ASME Fluids Engineering Division 92, 449-453, American Society of Mechanical Engineers. [pdf]

R. Krasny (1989) A vortex-dipole sheet model for a wake, Physics of Fluids A 1, 173-175. [pdf]

R. Krasny (1988) Computation of vortex sheet roll-up, Proceedings of the UCLA Workshop on Vortex Methods, C.R. Anderson, C. Greengard (eds.), Lecture Notes in Mathematics 1360, 9-22, Springer. [pdf]

R. Krasny (1988) Numerical simulation of vortex sheet evolution, Proceedings of the IUTAM Symposium on Fundamental Aspects of Vortex Motion, H. Hasimoto, T. Kambe (eds.), Fluid Dynamics Research 3, 93-97, North-Holland. [pdf]

R. Krasny (1987) Computation of vortex sheet roll-up in the Trefftz plane, Journal of Fluid Mechanics 184, 123-155. [pdf]

R. Krasny (1986) Desingularization of periodic vortex sheet roll-up, Journal Computational Physics 65, 292-313. [pdf]

R. Krasny (1986) A study of singularity formation in a vortex sheet by the point vortex approximation, Journal of Fluid Mechanics 167, 65-93. [pdf]

R. Krasny (1985) A numerical method for vortex sheet roll-up, Proceedings of the 6th GAMM Conference on Numerical Methods in Fluid Mechanics, D. Rues, W. Kordulla (eds.), Notes on Numerical Fluid Mechanics 13, 193-200, Vieweg-Verlag. [pdf]

R.C.Y. Chin, R. Krasny (1983) A hybrid asymptotic-finite element method for stiff two-point boundary value problems, SIAM Journal on Scientific and Statistical Computing 4, 229-243. [pdf]