Reduced storage matrix methods in stiff ODE systems. - Peter N. Brown; Alan C. Hindmarsh (Conference on Numerical Ordinary Differential Equations, 1989)

Hybrid Krylov Methods for Nonlinear Systems of Equations. - Peter N. Brown; Youcef Saad (SIAM J. Sci. Comput., 1990)

A Theoretical Comparison of the Arnoldi and GMRES Algorithms. - Peter N. Brown (SIAM J. Sci. Comput., 1991)

Convergence Theory of Nonlinear Newton-Krylov Algorithms. - Peter N. Brown; Youcef Saad (SIAM J. Optim., 1994)

Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems. - Peter N. Brown; Alan C. Hindmarsh; Linda R. Petzold (SIAM J. Sci. Comput., 1994)

GMRES On (Nearly) Singular Systems. - Peter N. Brown; Homer F. Walker (SIAM J. Matrix Anal. Appl., 1997)

Consistent Initial Condition Calculation for Differential-Algebraic Systems. - Peter N. Brown; Alan C. Hindmarsh; Linda R. Petzold (SIAM J. Sci. Comput., 1998)

Semicoarsening Multigrid on Distributed Memory Machines. - Peter N. Brown; Robert D. Falgout; Jim E. Jones (SIAM J. Sci. Comput., 2000)

Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer. - Peter N. Brown; Carol S. Woodward (SIAM J. Sci. Comput., 2001)

A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation. - Peter N. Brown; Barry Lee; Thomas A. Manteuffel (SIAM J. Sci. Comput., 2003)

On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm. - Peter N. Brown; Panayot S. Vassilevski; Carol S. Woodward (SIAM J. Sci. Comput., 2003)

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers. - Alan C. Hindmarsh; Peter N. Brown; Keith E. Grant; Steven L. Lee; Radu Serban; Dan E. Shumaker; Carol S. Woodward (ACM Trans. Math. Softw., 2005)

On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. - Peter N. Brown; Homer F. Walker; Rebecca Wasyk; Carol S. Woodward (SIAM J. Numer. Anal., 2008)

A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method. - B. L. Bihari; Peter N. Brown (SIAM J. Numer. Anal., 2009)