Papers

[17] Daniel R. Reynolds, Ravi Samtaney and Carol S. Woodward, "Operator-Based Preconditioning of Stiff Hyperbolic Magnetohydrodynamics Systems," submitted to SIAM Journal on Scientific Computing.

[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. [click for chapter]

[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. [click for article]

[13] Daniel R. Reynolds, Ravi Samtaney and Carol S. Woodward, "A Fully Implicit Numerical Method for Single-Fluid Resistive Magnetohydrodynamics," J. Comp. Phys., 219:144-162, 2006. [click for article]

[12] Petr Kloucek and Daniel R. Reynolds, "On the Modeling of Nonlinear Thermodynamics in SMA Wires," Comput. Methods Appl. Mech. Engrg., 196:180-191, 2006. [click for 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. [click for 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. [click for text]

[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. [click for 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. [click for 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. [click for 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. [click for 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. [click for 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. [click for 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.