Publications

- Academic Journal Articles

  1. B.E. Moore and S. Reich. Backward Error Analysis for Multi-Symplectic Integrators (ps.gz or pdf), Numerische Mathematik, 95 (2003) pp. 625-652.
  2. B.E. Moore and S. Reich. Multi-Symplectic Integration Methods for Hamiltonian PDEs (ps.gz and erratum), Future Generation Computer Systems, 19 (2003) pp. 395-402.
  3. S. Maier-Paape, B.E. Moore and E.S. Van Vleck. Spinodal Decomposition for Spatially Discrete Cahn-Hilliard Equations (ps.gz or pdf), Dynamics of Continuous, Discrete and Impulsive Systems, 12 (2005) pp. 529-554.
  4. J. Frank, B.E. Moore and S. Reich. Linear PDEs and Numerical Methods that Preserve a Multi-Symplectic Conservation Law (pdf), SIAM Journal on Scientific Computing, 28 (2006) pp. 260-277.

- Article Preprints

  1. B.E. Moore, Conformal Multi-Symplectic Integration Methods for Forced-Damped Semi-Linear Wave Equations (ps.gz or pdf) submitted, (2007).

- Articles in Preparation

  1. Waves for Bistable Differential-Difference Equations with Inhomogeneous Diffusion, with A.R. Humphries and E.S. Van Vleck.
  2. Modified Equations and Propagation Failure of Traveling Wave Solutions, with A.R. Humphries.

- Academic Reports

  1. A Modified Equations Approach for Multi-Symplectic Integration Methods (ps.gz or pdf), Ph.D. Thesis, 2003.
  2. Multi-Symplectic Integrators and Discrete Conservation Laws for Hamiltonian PDEs, Ph.D. Transfer Report, 2000.
  3. Spinodal Decomposition for Spatially Discrete Cahn-Hilliard Equations, M.S. Thesis, 1999.

 

Recent Presentations

- Seminars

  1. Multi-Symplectic Integration Methods (pdf), given at the University of Kansas, March 30, 2005, McMaster University, April 15, 2005, and at Colorado School of Mines, April 29, 2005.
  2. Bistable Waves for Differential-Difference Equations with Inhomogeneous Diffusion (pdf), given at the Workshop on Lattice, Delay and Functional Differential Equations, McGill University, April 25, 2005, and at the SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 22-26, 2005.
  3. The Beginnings of Backward Error Analysis for Multi-Symplectic Integration Methods (pdf), given at the University of Central Florida, February 1, 2007.
  4. Conformal Multi-Symplectic Integration Methods (pdf), given at the IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, at The University of Georgia, April 16-19, 2007, at the NSF-CBMS Regional Research Conference on Numerical Methods for Nonlinear Elliptic Equations at The University of Iowa, May 21-25, 2007, and at SciCADE in Saint Malo, France, July 9-13, 2007.
  5. Propagation Failure of Bistable Waves in Discrete Inhomogeneous Media, given at the International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.

- Posters

  1. Modified Equations for Multi-Symplectic Integrators (ps.gz), presented at The Fields Institute and Le Centre de Recherches Mathématiques, 2004.
  2. Multi-Symplectic Integration for Linear PDEs (ps.gz or pdf), presented at the New Jersey Institute of Technology, and at Iowa State University, 2005.

 

 

Back to Brian Moore's homepage