Donald J. Estep

Publication Activity (10 Years)

Years Active: 1991-2021
Publications (10 Years): 7

Top Topics

Decomposition Methods

Differential Equations

Top Venues

SIAM/ASA J. Uncertain. Quantification

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Jehanzeb H. Chaudhry, Donald J. Estep, Trevor Giannini, Zachary Stevens, Simon Tavener
Error analysis of first time to a threshold value for partial differential equations. CoRR (2021)
Jehanzeb H. Chaudhry, Donald J. Estep, Simon Tavener
A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations. CoRR (2021)
Jehanzeb H. Chaudhry, Donald J. Estep, Zachary Stevens, Simon J. Tavener
Error estimation and uncertainty quantification for first time to a threshold value. CoRR (2020)
Steven Mattis, Kyle Robert Steffen, Troy D. Butler, Clint N. Dawson, Donald J. Estep
Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion. CoRR (2020)
Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener
A posteriori error analysis for Schwarz overlapping domain decomposition methods. CoRR (2019)
Jehanzeb Hameed Chaudhry, Nathanial Burch, Donald J. Estep
Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries. SIAM/ASA J. Uncertain. Quantification 6 (3) (2018)
Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener, Varis Carey, Jeff Sandelin
A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm. SIAM J. Numer. Anal. 54 (5) (2016)
Todd Arbogast, Donald J. Estep, Brendan Sheehan, Simon Tavener
A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
Jehanzeb Hameed Chaudhry, Donald J. Estep, Victor Ginting, Simon Tavener
A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
James B. Collins, Donald J. Estep, Simon Tavener
A posteriori error estimation for the Lax-Wendroff finite difference scheme. J. Comput. Appl. Math. 263 (2014)
Daniel Elfverson, Donald J. Estep, Fredrik Hellman, Axel Målqvist
Uncertainty Quantification for Approximate p-Quantiles for Physical Models with Stochastic Inputs. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Troy D. Butler, Donald J. Estep, Simon Tavener, Clint Dawson, Joannes J. Westerink
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
David E. Keyes, Lois C. McInnes, Carol S. Woodward, William Gropp, Eric Myra, Michael Pernice, John Bell, Jed Brown, Alain Clo, Jeffrey M. Connors, Emil M. Constantinescu, Donald J. Estep, Kate Evans, Charbel Farhat, Ammar Hakim, Glenn Hammond, Glen Hansen, Judith Hill, Tobin Isaac, Xiangmin Jiao, Kirk E. Jordan, Dinesh K. Kaushik, Efthimios Kaxiras, Alice E. Koniges, Kihwan Lee, Aaron Lott, Qiming Lu, John Magerlein, Reed Maxwell, Michael McCourt, Miriam Mehl, Roger P. Pawlowski, Amanda Peters Randles, Daniel R. Reynolds, Béatrice Rivière, Ulrich Rüde, Timothy D. Scheibe, John N. Shadid, Brendan Sheehan, Mark S. Shephard, Andrew R. Siegel, Barry Smith, Xianzhu Tang, Cian Wilson, Barbara I. Wohlmuth
Multiphysics simulations: Challenges and opportunities. Int. J. High Perform. Comput. Appl. 27 (1) (2013)
Yang Zhang, Edwin K. P. Chong, Jan Hannig, Donald J. Estep
Approximating Extremely Large Networks via Continuum Limits. IEEE Access 1 (2013)
James O. Berger, Donald J. Estep, Max D. Gunzburger
Message from the Editors. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
Troy D. Butler, Donald J. Estep, Jeff Sandelin
A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis. SIAM J. Numer. Anal. 50 (1) (2012)
J. Breidt, Troy D. Butler, Donald J. Estep
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis. SIAM J. Numer. Anal. 49 (5) (2011)
Yang Zhang, Edwin K. P. Chong, Jan Hannig, Donald J. Estep
Continuum Limits of Markov Chains with Application to Network Modeling CoRR (2011)
Yang Zhang, Edwin K. P. Chong, Jan Hannig, Donald J. Estep
Continuum modeling and control of large nonuniform networks. Allerton (2011)
Yang Zhang, Edwin K. P. Chong, Jan Hannig, Donald J. Estep
On continuum limits of Markov chains and network modeling. CDC (2010)
Donald J. Estep, Simon Tavener, Tim Wildey
A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer. J. Comput. Phys. 229 (11) (2010)
Varis Carey, Donald J. Estep, A. Johansson, Mats G. Larson, Simon Tavener
Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions. SIAM J. Sci. Comput. 32 (4) (2010)
Donald J. Estep, Michael Pernice, Du Pham, Simon Tavener, Haiying Wang
A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. J. Comput. Appl. Math. 233 (2) (2009)
Donald J. Estep, Axel Målqvist, Simon Tavener
Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control. SIAM J. Sci. Comput. 31 (4) (2009)
Hans-Joachim Bungartz, Donald J. Estep, Ulrich Rüde, Peter Turner
Computational Science and Engineering Education: SIAM's Perspective. Comput. Sci. Eng. 11 (6) (2009)
Varis Carey, Donald J. Estep, Simon Tavener
A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems. SIAM J. Numer. Anal. 47 (1) (2008)
Donald J. Estep, Victor Ginting, David L. Ropp, John N. Shadid, Simon Tavener
An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. SIAM J. Numer. Anal. 46 (3) (2008)
Donald J. Estep, Simon Tavener, Tim Wildey
A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. SIAM J. Numer. Anal. 46 (4) (2008)
Donald J. Estep, David Neckels
Fast and reliable methods for determining the evolution of uncertain parameters in differential equations. J. Comput. Phys. 213 (2) (2006)
Donald J. Estep, Michael Holst, Mats G. Larson
Generalized Green's Functions and the Effective Domain of Influence. SIAM J. Sci. Comput. 26 (4) (2005)
Donald J. Estep, Andrew M. Stuart
The dynamical behavior of the discontinuous Galerkin method and related difference schemes. Math. Comput. 71 (239) (2002)
Donald J. Estep, Dewey H. Hodges, Michael Warner
Computational Error Estimation and Adaptive Error Control for a Finite Element Solution of Launch Vehicle Trajectory Problems. SIAM J. Sci. Comput. 21 (4) (1999)
Luca Dieci, Donald J. Estep, Eric F. van de Velde
Preface. Numer. Algorithms 14 (1-3) (1997)
Luca Dieci, Donald J. Estep
Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems. SIAM J. Sci. Comput. 12 (6) (1991)