Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems. - Luca Dieci; Donald J. Estep (SIAM J. Sci. Comput., 1991)

Preface. - Luca Dieci; Donald J. Estep; Eric F. van de Velde (Numer. Algorithms, 1997)

Computational Error Estimation and Adaptive Error Control for a Finite Element Solution of Launch Vehicle Trajectory Problems. - Donald J. Estep; Dewey H. Hodges; Michael Warner (SIAM J. Sci. Comput., 1999)

The dynamical behavior of the discontinuous Galerkin method and related difference schemes. - Donald J. Estep; Andrew M. Stuart (Math. Comput., 2002)

Generalized Green's Functions and the Effective Domain of Influence. - Donald J. Estep; Michael J. Holst; Mats G. Larson (SIAM J. Sci. Comput., 2005)

Fast and reliable methods for determining the evolution of uncertain parameters in differential equations. - Donald J. Estep; David Neckels (J. Comput. Phys., 2006)

A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems. - Varis Carey; Donald J. Estep; Simon Tavener (SIAM J. Numer. Anal., 2008)

An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. - Donald J. Estep; Victor Ginting; David L. Ropp; John N. Shadid; Simon Tavener (SIAM J. Numer. Anal., 2008)

A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. - Donald J. Estep; Simon Tavener; Tim Wildey (SIAM J. Numer. Anal., 2008)

Computational Science and Engineering Education: SIAM's Perspective. - Hans-Joachim Bungartz; Donald J. Estep; Ulrich Rüde; Peter Turner (Comput. Sci. Eng., 2009)

A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. - Donald J. Estep; Michael Pernice; Du Pham; Simon Tavener; Haiying Wang (J. Comput. Appl. Math., 2009)

Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control. - Donald J. Estep; Axel Målqvist; Simon Tavener (SIAM J. Sci. Comput., 2009)

On continuum limits of Markov chains and network modeling. - Yang Zhang; Edwin K. P. Chong; Jan Hannig; Donald J. Estep (CDC, 2010)

A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer. - Donald J. Estep; Simon Tavener; Tim Wildey (J. Comput. Phys., 2010)

Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions. - Varis Carey; Donald J. Estep; August Johansson; Mats G. Larson; Simon Tavener (SIAM J. Sci. Comput., 2010)

Continuum modeling and control of large nonuniform networks. - Yang Zhang; Edwin K. P. Chong; Jan Hannig; Donald J. Estep (Allerton, 2011)

Continuum Limits of Markov Chains with Application to Network Modeling - Yang Zhang; Edwin K. P. Chong; Jan Hannig; Donald J. Estep (CoRR, 2011)

A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis. - F. Jay Breidt; Troy D. Butler; Donald J. Estep (SIAM J. Numer. Anal., 2011)

A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis. - Troy D. Butler; Donald J. Estep; Jeff Sandelin (SIAM J. Numer. Anal., 2012)

Approximating Extremely Large Networks via Continuum Limits. - Yang Zhang; Edwin K. P. Chong; Jan Hannig; Donald J. Estep (IEEE Access, 2013)

Multiphysics simulations: Challenges and opportunities. - David E. Keyes; Lois C. McInnes; Carol S. Woodward; William Gropp; Eric Myra; Michael Pernice; John B. Bell; Jed Brown; Alain Clo; Jeffrey M. Connors; Emil M. Constantinescu; Donald J. Estep; et al. (Int. J. High Perform. Comput. Appl., 2013)

Message from the Editors. - James O. Berger; Donald J. Estep; Max D. Gunzburger (SIAM/ASA J. Uncertain. Quantification, 2013)

A posteriori error estimation for the Lax-Wendroff finite difference scheme. - James B. Collins; Donald J. Estep; Simon Tavener (J. Comput. Appl. Math., 2014)

A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest. - Troy D. Butler; Donald J. Estep; Simon Tavener; Clint Dawson 001; Joannes J. Westerink (SIAM/ASA J. Uncertain. Quantification, 2014)

Uncertainty Quantification for Approximate p-Quantiles for Physical Models with Stochastic Inputs. - Daniel Elfverson; Donald J. Estep; Fredrik Hellman; Axel Målqvist (SIAM/ASA J. Uncertain. Quantification, 2014)

A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. - Todd Arbogast; Donald J. Estep; Brendan Sheehan; Simon Tavener (SIAM/ASA J. Uncertain. Quantification, 2015)

A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems. - Jehanzeb Hameed Chaudhry; Donald J. Estep; Victor Ginting; Simon Tavener (SIAM/ASA J. Uncertain. Quantification, 2015)

A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm. - Jehanzeb Hameed Chaudhry; Donald J. Estep; Simon Tavener; Varis Carey; Jeff Sandelin (SIAM J. Numer. Anal., 2016)

Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries. - Jehanzeb Hameed Chaudhry; Nathanial Burch; Donald J. Estep (SIAM/ASA J. Uncertain. Quantification, 2018)

A posteriori error analysis for Schwarz overlapping domain decomposition methods. - Jehanzeb Hameed Chaudhry; Donald J. Estep; Simon Tavener (CoRR, 2019)

Error estimation and uncertainty quantification for first time to a threshold value. - Jehanzeb H. Chaudhry; Donald J. Estep; Zachary Stevens; Simon J. Tavener (CoRR, 2020)

Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion. - Steven Mattis; Kyle Robert Steffen; Troy D. Butler; Clint N. Dawson; Donald J. Estep (CoRR, 2020)

A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations. - Jehanzeb H. Chaudhry; Donald J. Estep; Simon Tavener (CoRR, 2021)

Error analysis of first time to a threshold value for partial differential equations. - Jehanzeb H. Chaudhry; Donald J. Estep; Trevor Giannini; Zachary Stevens; Simon Tavener (CoRR, 2021)