Donald Estep
TitleCited byYear
Computational Differential Equations
CJ K Eriksson, D Estep, P Hansbo
Cambridge University Press, 1996
9091996
Introduction to adaptive methods for differential equations
K Eriksson, D Estep, P Hansbo, C Johnson
Acta Numerica 4, 105-158, 1995
8181995
Multiphysics simulations: Challenges and opportunities
DE Keyes, LC McInnes, C Woodward, W Gropp, E Myra, M Pernice, J Bell, ...
The International Journal of High Performance Computing Applications 27 (1 …, 2013
2552013
Estimating the error of numerical solutions of systems of reaction-diffusion equations
DJ Estep, MG Larson, RD Williams, RD Williams
American Mathematical Soc., 2000
2092000
A posteriori error bounds and global error control for approximation of ordinary differential equations
D Estep
SIAM Journal on Numerical Analysis 32 (1), 1-48, 1995
2091995
Global error control for the continuous Galerkin finite element method for ordinary differential equations
D Estep, D French
ESAIM: Mathematical Modelling and Numerical Analysis 28 (7), 815-852, 1994
951994
Applied mathematics: Body and soul: Calculus in several dimensions
K Eriksson, D Estep, C Johnson
Springer Science & Business Media, 2013
702013
Generalized Green's functions and the effective domain of influence
D Estep, M Holst, M Larson
SIAM Journal on Scientific Computing 26 (4), 1314-1339, 2005
632005
An a posteriori–a priori analysis of multiscale operator splitting
D Estep, V Ginting, D Ropp, JN Shadid, S Tavener
SIAM Journal on Numerical Analysis 46 (3), 1116-1146, 2008
592008
Viscoelastic effects during loading play an integral role in soft tissue mechanics
KL Troyer, DJ Estep, CM Puttlitz
Acta biomaterialia 8 (1), 234-243, 2012
552012
Applied mathematics: Body and soul: Volume 1: Derivatives and geometry in IR3
K Eriksson, D Estep, C Johnson
Springer Science & Business Media, 2013
542013
The discontinuous Galerkin method for semilinear parabolic problems
D Estep, S Larsson
ESAIM: Mathematical Modelling and Numerical Analysis 27 (1), 35-54, 1993
521993
Adaptive finite element methods for parabolic problems III: Time steps variable in space
K Eriksson, C Johnson
preparation/personal communication, 1994
501994
A posteriori analysis and adaptive error control for multiscale operator decomposition solution of elliptic systems I: Triangular systems
V Carey, D Estep, S Tavener
SIAM Journal on Numerical Analysis 47 (1), 740-761, 2009
482009
A measure-theoretic computational method for inverse sensitivity problems I: Method and analysis
J Breidt, T Butler, D Estep
SIAM journal on numerical analysis 49 (5), 1836-1859, 2011
392011
A computational measure theoretic approach to inverse sensitivity problems II: A posteriori error analysis
T Butler, D Estep, J Sandelin
SIAM journal on numerical analysis 50 (1), 22-45, 2012
372012
Fast and reliable methods for determining the evolution of uncertain parameters in differential equations
D Estep, D Neckels
Journal of Computational Physics 213 (2), 530-556, 2006
372006
A posteriori analysis and improved accuracy for an operator decomposition solution of a conjugate heat transfer problem
D Estep, S Tavener, T Wildey
SIAM Journal on Numerical Analysis 46 (4), 2068-2089, 2008
362008
Scientific grand challenges: Crosscutting technologies for computing at the exascale
D Brown, P Messina, D Keyes, J Morrison, R Lucas, J Shalf, P Beckman, ...
Office of Science, US Department of Energy, February, 2-4, 2010
322010
Accounting for stability: a posteriori error estimates based on residuals and variational analysis
D Estep, M Holst, D Mikulencak
Communications in numerical methods in engineering 18 (1), 15-30, 2002
322002
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Articles 1–20