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- David E. Keyes, Lois C. McInnes, +42 authors Barbara I. Wohlmuth
- IJHPCA
- 2013

We consider multiphysics applications from algorithmic and architectural perspectives, where â€˜â€˜algorithmicâ€™â€™ includes both mathematical analysis and computational complexity, and â€˜â€˜architecturalâ€™â€™â€¦ (More)

- Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward
- SIAM J. Scientific Computing
- 2010

We introduce an operator-based scheme for preconditioning stiff components encountered in implicit methods for hyperbolic systems of PDEs posed on regular grids. The method is based on a directionalâ€¦ (More)

- Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward
- J. Comput. Physics
- 2006

We present a nonlinearly implicit, conservative numerical method for integration of the single-fluid resistive MHD equations. The method uses a high-order spatial discretization that preserves theâ€¦ (More)

- Daniel R. Reynolds, John C. Hayes, Pascal Paschos, Michael L. Norman
- J. Comput. Physics
- 2009

We consider a PDE system comprising compressible hydrodynamics, flux-limited diffusion radiation transport and chemical ionization kinetics in a cosmologicallyexpanding universe. Under anâ€¦ (More)

- Dennis D. Cox, Petr Kloucek, Daniel R. Reynolds
- Future Generation Comp. Syst.
- 2004

We consider a class of alloys and ceramics with equilibria described by non-attainable infima of non-quasiconvex variational integrals. Such situations frequently arise when atomic lattice structureâ€¦ (More)

- Dennis D. Cox, Petr Kloucek, Daniel R. Reynolds
- International Conference on Computational Science
- 2002

We introduce a variational principle suitable for the computational modeling of crystalline materials. We consider a class of materials that are described by non-quasiconvex variational integrals. Weâ€¦ (More)

- Ilian Iliev, Daniel Whalen, +14 authors Masayuki Umemura
- 2009

The development of radiation hydrodynamical methods that are able to follow gas dynamics and radiative transfer (RT) self-consistently is key to the solution of many problems in numericalâ€¦ (More)

A Nonlinear Thermodynamic Model for Phase Transitions in Shape Memory Alloy Wires

- Daniel R. Reynolds, Ravi Samtaney, Hilari C Tiedeman
- 2012

Single-fluid resistive magnetohydrodynamics (MHD) is a fluid description of fusion plasmas which is often used to investigate macroscopic instabilities in tokamaks. In MHD modeling of tokamaks, it isâ€¦ (More)

- Petr Kloucek, Daniel R. Reynolds, Thomas I. Seidman
- Systems & Control Letters
- 2003