Peter N. Brown

Publication Activity (10 Years)

Years Active: 1989-2009
Publications (10 Years): 0

Publications

B. L. Bihari, Peter N. Brown
A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method. SIAM J. Numer. Anal. 47 (3) (2009)
Peter N. Brown, Homer F. Walker, Rebecca Wasyk, Carol S. Woodward
On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. SIAM J. Numer. Anal. 46 (4) (2008)
Alan C. Hindmarsh, Peter N. Brown, Keith E. Grant, Steven L. Lee, Radu Serban, Dan E. Shumaker, Carol S. Woodward
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers. ACM Trans. Math. Softw. 31 (3) (2005)
Peter N. Brown, Barry Lee, Thomas A. Manteuffel
A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation. SIAM J. Sci. Comput. 25 (2) (2003)
Peter N. Brown, Panayot S. Vassilevski, Carol S. Woodward
On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm. SIAM J. Sci. Comput. 25 (2) (2003)
Peter N. Brown, Carol S. Woodward
Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer. SIAM J. Sci. Comput. 23 (2) (2001)
Peter N. Brown, Robert D. Falgout, Jim E. Jones
Semicoarsening Multigrid on Distributed Memory Machines. SIAM J. Sci. Comput. 21 (5) (2000)
Peter N. Brown, Alan C. Hindmarsh, Linda R. Petzold
Consistent Initial Condition Calculation for Differential-Algebraic Systems. SIAM J. Sci. Comput. 19 (5) (1998)
Peter N. Brown, Homer F. Walker
GMRES On (Nearly) Singular Systems. SIAM J. Matrix Anal. Appl. 18 (1) (1997)
Peter N. Brown, Alan C. Hindmarsh, Linda R. Petzold
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems. SIAM J. Sci. Comput. 15 (6) (1994)
Peter N. Brown, Youcef Saad
Convergence Theory of Nonlinear Newton-Krylov Algorithms. SIAM J. Optim. 4 (2) (1994)
Peter N. Brown
A Theoretical Comparison of the Arnoldi and GMRES Algorithms. SIAM J. Sci. Comput. 12 (1) (1991)
Peter N. Brown, Youcef Saad
Hybrid Krylov Methods for Nonlinear Systems of Equations. SIAM J. Sci. Comput. 11 (3) (1990)
Peter N. Brown, Alan C. Hindmarsh
Reduced storage matrix methods in stiff ODE systems. Conference on Numerical Ordinary Differential Equations (1989)