Peter N. Brown

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The Quest for a High Performance Boltzmann Transport Solver

Britton Chang, Carol S. Woodward, Peter N. Brown, 1999 .

Approved for Public Release; Further Dissemination Unlimited on Mesh-independent Convergence of an Inexact Newton-multigrid Algorithm on Mesh–independent Convergence of an Inexact Newton–multigrid Algorithm

Panayot S. Vassilevski, Carol S. Woodward, Peter N. Brown, 2022 .

The PVODE Trio: PVODE, KINSOL, and IDA

Carol S. Woodward, Peter N. Brown, Radu Serban, 2001 .

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods

Homer F. Walker, Carol S. Woodward, Peter N. Brown, 2008, SIAM J. Numer. Anal..

Hybrid Krylov Methods for Nonlinear Systems of Equations

Yousef Saad, Peter N. Brown, Y. Saad, 1990, SIAM J. Sci. Comput..

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers pdf

Carol S. Woodward, Peter N. Brown, Radu Serban, 2020, ACM Trans. Math. Softw..

The Improved Simple Corner Balance Method and Efforts to Enhance its Computational Performance

Peter N. Brown, Adam Kunen, P G Maginot, 2016 .

Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems

Linda R. Petzold, Peter N. Brown, Alan C. Hindmarsh, 1994, SIAM J. Sci. Comput..

A Theoretical Comparison of the Arnoldi and GMRES Algorithms

Peter N. Brown, P. Brown, 1991, SIAM J. Sci. Comput..

Performing three-dimensional neutral particle transport calculations on tera scale computers

Britton Chang, Carol S. Woodward, Peter N. Brown, 1999 .

Convergence Theory of Nonlinear Newton-Krylov Algorithms

Yousef Saad, Peter N. Brown, Y. Saad, 1994, SIAM J. Optim..

A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation

Thomas A. Manteuffel, Barry Lee, Peter N. Brown, 2003, SIAM J. Sci. Comput..

Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration

Carol S. Woodward, Peter N. Brown, D. E. Shumaker, 2005 .

Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer

Carol S. Woodward, Peter N. Brown, P. Brown, 2001, SIAM J. Sci. Comput..

Semicoarsening Multigrid on Distributed Memory Machines

Robert D. Falgout, Jim E. Jones, Peter N. Brown, 1999, SIAM J. Sci. Comput..

KRIPKE - A MASSIVELY PARALLEL TRANSPORT MINI-APP

Peter N. Brown, Adam Kunen, T S Bailey, 2015 .

A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method

Peter N. Brown, B. L. Bihari, P. Brown, 2009, SIAM J. Numer. Anal..

Consistent Initial Condition Calculation for Differential-Algebraic Systems

Linda R. Petzold, Peter N. Brown, Alan C. Hindmarsh, 1998, SIAM J. Sci. Comput..

Decay to Uniform States in Ecological Interactions

Peter N. Brown, P. Brown, 1980 .

Iterative Linear Solvers in a 2D Radiation-Hydrodynamics Code

Robert D. Falgout, Jim E. Jones, Peter N. Brown, 1999 .

Experiments with Quasi-Newton Methods in Solving Stiff ODE Systems

Homer F. Walker, Peter N. Brown, Alan C. Hindmarsh, 1985 .

Projection Methods for Solving Nonlinear Systems of Equations

Youcef Saad, Peter N. Brown, 1991 .

Implicit solution of large-scale radiation - material energy transfer problems

Carol S. Woodward, Peter N. Brown, Frank Graziani, 1999 .

A linear algebraic development of diffusion synthetic acceleration for three-dimensional transport equations

Peter N. Brown, P. Brown, 1995 .