SOUTHERN METHODIST UNIVERSITY DEPARTMENT OF MATHEMATICS
 Dan Reynolds  Research  Teaching  Publications  Talks  CV, etc.  Links
SMU

Papers


[35]  Jean M. Sexton and Daniel R. Reynolds, "Relaxed Multirate Infinitesimal Step Methods," submitted to J. Comput. Appl. Math., 2018. [arXiv preprint]
[34]  Weihua Geng, Jiahui Chen and Daniel R. Reynolds, "Cyclically Parallelized Treecode for Fast Computations of Electrostatic Interactions on Molecular Surfaces," submitted to Computer Physics Communications, 2018.
[33]  Vu Thai Luan, Janusz A. Pudykiewicz and Daniel R. Reynolds, "Further development of efficient and accurate time integration schemes for meteorological models," Journal of Computational Physics, 376:817-837, 2019. [published article] [arXiv preprint]
[32]  Paul A. Ullrich, Daniel R. Reynolds, Jorge E. Guerra and Mark A. Taylor, "Impacts and importance of diffusion on the spectral element method: A linear analysis," Journal of Computational Physics, 375:427-446, 2018. [published article]
[31]  David J. Gardner, Jorge E. Guerra, Francois P. Hamon, Daniel R. Reynolds, Paul A. Ullrich and Carol S. Woodward, "Implicit-Explicit (IMEX) Runge-Kutta methods for non-hydrostatic atmospheric models," Geoscientific Model Development, 11:1497-1515, 2018. [published article]
[30]  David J. Gardner and Daniel R. Reynolds, "Filters for improvement of multiscale data from atomistic simulations," SIAM J. Multiscale Model. Simul., 15:1-28, 2017. [published article] [authorized reprint]
[29]  David J. Gardner, Carol S. Woodward, Daniel R. Reynolds, Gregg Hommes, Sylvie Aubry and A. Tom Arsenlis, "Implicit integration methods for dislocation dynamics," Modelling and Simulation in Materials Science and Engineering, 23:025006, 2015. [published article]
[28]  Michael L. Norman, Daniel R. Reynolds, Geoffrey C. So, Robert P. Harkness and John H. Wise, "Fully-coupled simulation of cosmic reionization I: numerical methods and tests," The Astrophysical Journal Supplement, 216:16, 2015. [published article] [arXiv preprint]
[27]  Geoffrey C. So, Michael L. Norman, Daniel R. Reynolds, and John H. Wise, "Fully-coupled simulation of cosmic reionization II: recombinations, clumping factors, and the photon budget for reionization," The Astrophysical Journal, 789:149, 2014. [published article] [arXiv preprint]
[26]  Greg L. Bryan, Michael L. Norman, Brian W. O'Shea, Tom Abel, John H. Wise, Matthew J. Turk, Daniel R. Reynolds, David C. Collins, Peng Wang, Samuel W. Skillman, Britton Smith, Robert P. Harkness, James Bordner, Ji-Hoon Kim, Michael Kuhlen, Hao Xu, Nathan Goldbaum, Cameron Hummels, Alexei G. Kritsuk, Elizabeth Tasker, Stephen Skory, Christine M. Simpson, Oliver Hahn, Jeffrey S. Oishi, Geoffrey C. So, Fen Zhao, Renyue Cen and Yuan Li, "Enzo: an adaptive mesh refinement code for astrophysics," The Astrophysical Journal Supplement, 211:19, 2014. [published article] [arXiv preprint]
[25]  David E. Keyes et al., "Multiphysics simulations: challenges and opportunities," International Journal of High Performance Computing Applications, 27:4-83, 2013. [published article]
[24]  Daniel R. Reynolds, Ravi Samtaney, and Hilari C. Tiedeman, "A fully implicit Newton-Krylov-Schwarz method for tokamak MHD: Jacobian construction and preconditioner formulation," Computational Science & Discovery, 5:014003, 2012. [published article]
[23]  Daniel R. Reynolds and Ravi Samtaney, "Sparse Jacobian construction for mapped grid visco-resistive magnetohydrodynamics," Lecture Notes in Computational Science and Engineering, vol. 87, 2012.
[22]  Daniel R. Reynolds, Ravi Samtaney and Carol S. Woodward, "Operator-based preconditioning of stiff hyperbolic systems," SIAM Journal on Scientific Computing, 32:150-170, 2010. [published article].
[21]  Michael L. Norman, Daniel R. Reynolds and Geoffrey C. So, "Cosmological radiation hydrodynamics with Enzo," Recent Directions in Astrophysical Quantitative Spectroscopy and Radiation Hydrodynamics, AIP, 2009. [published article] [arXiv preprint]
[20]  Ilian T. Iliev, Daniel Whalen, Kyungjin Ahn, Sunghye Baek, Nickolay Y. Gnedin, Andrey V. Kravtsov, Garrelt Mellema, Michael Norman, Milan Raicevic, Daniel R. Reynolds, Daisuke Sato, Paul R. Shapiro, Benoit Semelin, Joseph Smidt, Hajime Susa, Tom Theuns and Masayuki Umemura, "Cosmological radiative transfer codes comparison project II: the radiation-hydrodynamic tests," MNRAS, 400:1283-1316, 2009. [published article] [arXiv preprint]
[19]  Daniel R. Reynolds, John C. Hayes, Pascal Paschos and Michael L. Norman, "Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization," Journal of Computational Physics, 228:6833-6854, 2009. [published article] [arXiv preprint]
[18]  Petr Kloucek and Daniel R. Reynolds, "Vibration damping and heat transfer using material phase changes," U.S. Patent Number 7,506,735, issued March 24, 2009.
[17]  Daniel R. Reynolds, F. Douglas Swesty and Carol S. Woodward, "A Newton-Krylov solver for implicit solution of hydrodynamics in core collapse supernovae," Journal of Physics: Conference Series, 125, 2008. [published article]
[16]  Daniel R. Reynolds and Ryan Szypowski, "Panel Discusses Research Directions and Enabling Technologies for the Future," SIAM News, May 2007.
[15]  Michael L. Norman, Greg L. Bryan, Robert Harkness, James Bordner, Daniel Reynolds, Brian O'Shea and Rick Wagner, "Simulating cosmological evolution with enzo," Petascale Computing: Algorithms and Applications, D. Bader (editor), CRC Press, 2007. [arXiv preprint]
[14]  David E. Keyes, Daniel R. Reynolds and Carol S. Woodward, "Implicit solvers for large-scale nonlinear problems," Journal of Physics: Conference Series, 46:433-442, 2006. [published article]
[13]  Daniel R. Reynolds, Ravi Samtaney and Carol S. Woodward, "A fully implicit numerical method for single-fluid resistive magnetohydrodynamics," Journal of Computational Physics, 219:144-162, 2006. [published article]
[12]  Petr Kloucek and Daniel R. Reynolds, "On the modeling of nonlinear thermodynamics in SMA wires," Computer Methods in Applied Mechanics and Engineering, 196:180-191, 2006. [published article]
[11]  Petr Kloucek, Daniel R. Reynolds and Thomas I. Seidman, "Computational modeling of vibration damping in SMA wires," Continuum Mechanics and Thermodynamics, 16:495-514, 2004. [published article]
[10]  Daniel R. Reynolds, "A nonlinear thermodynamic model for phase transitions in shape memory alloy wires," Ph.D. Thesis, Rice University Department of Computational and Applied Mathematics, May 2003. [published thesis]
[9]  Petr Kloucek, Daniel R. Reynolds and Thomas I. Seidman, "Thermal stabilization of shape memory alloy wires," in Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, R.C. Smith editor, Proc. of SPIE Vol. 5049, 2003. [published article]
[8]  Petr Kloucek, Daniel R. Reynolds and Thomas I. Seidman, "On thermodynamic active control of shape memory alloy wires," Systems and Control Letters, 48(3-4): 211-219, 2003. [published article]
[7]  Dennis Cox, Petr Kloucek and Daniel R. Reynolds, "On the asymptotically stochastic computational modeling of microstructures," Future Generation Computer Systems, 20: 409-424, 2004. [published article]
[6]  Dennis D. Cox, Petr Kloucek, Daniel R. Reynolds and Pavel Solin, "Stochastic relaxation of variational integrals with non-attainable infima," in Proc.: ENUMATH 2003 European Conference on Numerical Mathematics, Springer-Verlag, Berlin, 239-249, 2004.
[5]  Dennis Cox, Petr Kloucek and Daniel R. Reynolds, "The computational modeling of crystalline materials using a stochastic variational principle," in Lecture Notes in Computer Science 2330: 461-469, 2002. [published article]
[4]  Dennis Cox, Petr Kloucek and Daniel R. Reynolds, "A subgrid projection method for relaxation of non-attainable differential inclusions," in Proc.: ENUMATH 2001 European Conference on Numerical Mathematics, Springer-Verlag, Berlin, 2002.
[3]  Jicun Hu, Chris Ingrassia, Svenja Lowitzsch, Jang Park, Angel Pineda, Daniel Reynolds, Nicholas Valdivia (S.K. Patch, mentor), "Second order solution of Fritz John's ultrahyperbolic PDE for volumetric computed tomography," IMA preprint 1752-4, 2001. [published article]
[2]  Mark S. Gockenbach, Daniel R. Reynolds, Peng Shen, and William W. Symes, "Efficient and automatic implementation of the adjoint state method," ACM Transactions on Mathematical Software, 28(1): 22-44, 2002. [published article]
[1]  Mark S. Gockenbach, Daniel R. Reynolds, and William W. Symes, "Automatic differentiation and the adjoint state method," in Automatic Differentiation of Algorithms: From Simulation to Optimization, Springer-Verlag, 161-165, 2001.



stats

Maintained by reynolds [at] smu [dot] edu

Copyright ©2014 Southern Methodist University. All rights reserved.
Right to Know, Nondiscrimination, and other legal statements.