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Donald Estep - Publications

Affiliations: 
Colorado State University, Fort Collins, CO 
Area:
Mathematics
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52 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Harmon JJ, Key C, Estep D, Butler T, Notaros BM. Adjoint-based Accelerated Adaptive Refinement in Frequency Domain 3-D Finite Element Method Scattering Problems Ieee Transactions On Antennas and Propagation. 1-1. DOI: 10.1109/Tap.2020.3016162  0.367
2020 Key C, Smull AP, Estep D, Butler T, Notaros BM. A Posteriori Error Estimation and Adaptive Discretization Refinement Using Adjoint Methods in CEM: A Study With a 1-D Higher Order FEM Scattering Example Ieee Transactions On Antennas and Propagation. 68: 3791-3806. DOI: 10.1109/Tap.2020.2976657  0.516
2017 Panda N, Butler T, Estep D, Graham L, Dawson C. A Stochastic Inverse Problem For Multiscale Models International Journal For Multiscale Computational Engineering. 15: 265-283. DOI: 10.1615/Intjmultcompeng.2017020553  0.341
2017 Chaudhry JH, Estep D, Gunzburger M. Exploration of efficient reduced‐order modeling and a posteriori error estimation International Journal For Numerical Methods in Engineering. 111: 103-122. DOI: 10.1002/Nme.5453  0.514
2015 Butler T, Graham L, Estep D, Dawson C, Westerink JJ. Definition and solution of a stochastic inverse problem for the Manning's n parameter field in hydrodynamic models. Advances in Water Resources. 78: 60-79. PMID 25937695 DOI: 10.1016/J.Advwatres.2015.01.011  0.4
2015 Collins JB, Estep D, Tavener S. A posteriori error estimation for a cut cell finite volume method with uncertain interface location International Journal For Uncertainty Quantification. 5: 415-432. DOI: 10.1615/Int.J.Uncertaintyquantification.2015012533  0.441
2015 Sheehan B, Estep D, Tavener S, Cary J, Kruger S, Hakim A, Pletzer A, Carlsson J, Vadlamani S. The interaction of iteration error and stability for linear partial differential equations coupled through an interface Advances in Mathematical Physics. 2015. DOI: 10.1155/2015/787198  0.466
2015 Johansson A, Chaudhry JH, Carey V, Estep D, Ginting V, Larson M, Tavener S. Adaptive finite element solution of multiscale PDE-ODE systems Computer Methods in Applied Mechanics and Engineering. 287: 150-171. DOI: 10.1016/J.Cma.2015.01.010  0.417
2015 Chaudhry JH, Estep D, Ginting V, Shadid JN, Tavener S. A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations Computer Methods in Applied Mechanics and Engineering. 285: 730-751. DOI: 10.1016/J.Cma.2014.11.015  0.524
2015 Mattis SA, Butler TD, Dawson CN, Estep D, Vesselinov VV. Parameter estimation and prediction for groundwater contamination based on measure theory Water Resources Research. DOI: 10.1002/2015Wr017295  0.343
2014 Arbogast T, Estep D, Sheehan B, Tavener S. A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching grids Ima Journal of Numerical Analysis. 34: 1625-1653. DOI: 10.1093/Imanum/Drt049  0.503
2014 Collins JB, Estep D, Tavener S. A posteriori error estimation for the Lax-Wendroff finite difference scheme Journal of Computational and Applied Mathematics. 263: 299-311. DOI: 10.1016/J.Cam.2013.12.035  0.543
2014 Collins JB, Estep D, Tavener S. A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques Bit Numerical Mathematics. DOI: 10.1007/S10543-014-0534-9  0.522
2013 Butler T, Estep D. A numerical method for solving a stochastic inverse problem for parameters. Annals of Nuclear Energy. 52. PMID 24347806 DOI: 10.1016/J.Anucene.2012.05.016  0.498
2013 Zhang Y, Chong EKP, Hannig J, Estep D. Approximating extremely large networks via continuum limits Ieee Access. 1: 577-595. DOI: 10.1109/Access.2013.2281668  0.319
2013 Estep D, Lee S. Adaptive error control during gradient search for an elliptic optimization problem Applicable Analysis. 92: 1434-1448. DOI: 10.1080/00036811.2012.683785  0.471
2013 Chaudhry JH, Estep D, Ginting V, Tavener S. A posteriori analysis of an iterative multi-discretization method for reaction-diffusion systems Computer Methods in Applied Mechanics and Engineering. 267: 1-22. DOI: 10.1016/J.Cma.2013.08.007  0.502
2013 Carey V, Estep D, Tavener S. A posteriori analysis and adaptive error control for operator decomposition solution of coupled semilinear elliptic systems International Journal For Numerical Methods in Engineering. 94: 826-849. DOI: 10.1002/Nme.4482  0.517
2012 Butler T, Estep D, Sandelin J. A COMPUTATIONAL MEASURE THEORETIC APPROACH TO INVERSE SENSITIVITY PROBLEMS II: A POSTERIORI ERROR ANALYSIS. Siam Journal On Numerical Analysis. 50: 22-45. PMID 23667271 DOI: 10.1137/100785958  0.481
2012 Estep D, Ginting V, Tavener S. A Posteriori analysis of a multirate numerical method for ordinary differential equations Computer Methods in Applied Mechanics and Engineering. 223: 10-27. DOI: 10.1016/J.Cma.2012.02.021  0.518
2012 Estep D, Holst MJ, Målqvist A. Nonparametric density estimation for randomly perturbed elliptic problems III: Convergence, computational cost, and generalizations Journal of Applied Mathematics and Computing. 38: 367-387. DOI: 10.1007/S12190-011-0484-1  0.382
2012 Burch N, Hoeting JA, Estep D. Optimal design and directional leverage with applications in differential equation models Metrika. 75: 895-911. DOI: 10.1007/S00184-011-0358-4  0.337
2011 Breidt J, Butler T, Estep D. A MEASURE-THEORETIC COMPUTATIONAL METHOD FOR INVERSE SENSITIVITY PROBLEMS I: METHOD AND ANALYSIS. Siam Journal On Numerical Analysis. 49: 1836-1859. PMID 23637467 DOI: 10.1137/100785946  0.399
2011 Estep D, Pernice M, Tavener S, Wang H. A posteriori error analysis for a cut cell finite volume method Computer Methods in Applied Mechanics and Engineering. 200: 2768-2781. DOI: 10.1016/J.Cma.2010.11.015  0.502
2010 Carey V, Estep D, Johansson A, Larson M, Tavener S. Blockwise adaptivity for time de pendent problems based on coarse scale adjoint solutions Siam Journal On Scientific Computing. 32: 2121-2145. DOI: 10.1137/090753826  0.478
2010 Estep D, Tavener S, Wildey T. A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer Journal of Computational Physics. 229: 4143-4158. DOI: 10.1016/J.Jcp.2010.02.003  0.494
2009 Estep D, MÅlqvist A, Tavener S. Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control Siam Journal On Scientific Computing. 31: 2935-2959. DOI: 10.1137/080731670  0.53
2009 Estep D, Tavener S, Wildey T. A posteriori error analysis for a transient conjugate heat transfer problem Finite Elements in Analysis and Design. 45: 263-271. DOI: 10.1016/J.Finel.2008.10.011  0.503
2009 Estep D, Pernice M, Pham D, Tavener S, Wang H. A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems Journal of Computational and Applied Mathematics. 233: 459-472. DOI: 10.1016/J.Cam.2009.07.046  0.495
2009 Estep D, Målqvist A, Tavener S. Nonparametric density estimation for randomly perturbed elliptic problems II: Applications and adaptive modeling International Journal For Numerical Methods in Engineering. 80: 846-867. DOI: 10.1002/Nme.2547  0.355
2008 Buzby M, Neckels D, Antolin MF, Estep D. Analysis of the sensitivity properties of a model of vector-borne bubonic plague. Journal of the Royal Society, Interface / the Royal Society. 5: 1099-107. PMID 18270149 DOI: 10.1098/Rsif.2007.1339  0.312
2008 Carey V, Estep D, Tavener S. A posteriori analysis and adaptive error control for multiscale operator decomposition solution of elliptic systems I: Triangular systems Siam Journal On Numerical Analysis. 47: 740-761. DOI: 10.1137/070689917  0.523
2008 Estep D, Ginting V, Ropp D, Shadid JN, Tavener S. An a posteriori-a priori analysis of multiscale operator splitting Siam Journal On Numerical Analysis. 46: 1116-1146. DOI: 10.1137/07068237X  0.486
2008 Estep D, Tavener S, Wildey T. A posteriori analysis and improved accuracy for an operator decomposition solution of a conjugate heat transfer problem Siam Journal On Numerical Analysis. 46: 2068-2089. DOI: 10.1137/060678737  0.483
2008 Wildey T, Tavener S, Estep D. A posteriori error estimation of approximate boundary fluxes Communications in Numerical Methods in Engineering. 24: 421-434. DOI: 10.1002/Cnm.1014  0.38
2007 Eastman S, Estep D. A power method for nonlinear operators Applicable Analysis. 86: 1303-1314. DOI: 10.1080/00036810701667305  0.336
2007 Estep D, Neckels D. Fast methods for determining the evolution of uncertain parameters in reaction-diffusion equations Computer Methods in Applied Mechanics and Engineering. 196: 3967-3979. DOI: 10.1016/J.Cma.2006.10.048  0.471
2007 Målqvist A, Estep D, Tavener S. Numerical analysis and adaptive computation for solutions of elliptic problems with randomly perturbed coefficients Pamm. 7: 1140401-1140402. DOI: 10.1002/Pamm.200700268  0.434
2006 Estep D, Neckels D. Fast and reliable methods for determining the evolution of uncertain parameters in differential equations Journal of Computational Physics. 213: 530-556. DOI: 10.1016/J.Jcp.2005.08.024  0.482
2005 Estep D, Holst M, Larson M. Generalized Green's functions and the effective domain of influence Siam Journal On Scientific Computing. 26: 1314-1339. DOI: 10.1137/S1064827502416319  0.462
2002 Estep D, Holst M, Mikulencak D. Accounting for stability: A posteriori error estimates based on residuals and variational analysis Communications in Numerical Methods in Engineering. 18: 15-30. DOI: 10.1002/Cnm.461  0.464
1999 Estep D, Hodges DH, Warner M. Computational Error Estimation and Adaptive Error Control for a Finite Element Solution of Launch Vehicle Trajectory Problems Siam Journal On Scientific Computing. 21: 1609-1631. DOI: 10.1137/S1064827599337732  0.516
1998 Estep D, Johnson C. The Pointwise Computability Of The Lorenz System Mathematical Models and Methods in Applied Sciences. 8: 1277-1305. DOI: 10.1142/S0218202598000597  0.403
1995 Estep D. A posteriori error bounds and global error control for approximation of ordinary differential equations Siam Journal On Numerical Analysis. 32: 1-48. DOI: 10.1137/0732001  0.511
1995 Eriksson K, Estep D, Hansbo P, Johnson C. Introduction to Adaptive Methods for Differential Equations Acta Numerica. 4: 105-158. DOI: 10.1017/S0962492900002531  0.348
1995 Estep D. A modified equation for dispersive difference schemes Applied Numerical Mathematics. 17: 299-309. DOI: 10.1016/0168-9274(95)00035-S  0.356
1995 Carstensen C, Estep D, Stephan P. h-adaptive boundary element schemes Computational Mechanics. 15: 372-383. DOI: 10.1007/Bf00372275  0.404
1994 Estep D. An analysis of numerical approximations of metastable solutions of the bistable equation Nonlinearity. 7: 1445-1462. DOI: 10.1088/0951-7715/7/5/011  0.424
1994 Estep D. An Analysis of Numerical Dispersion in Approximations of the Linear Korteweg - de Vries Equation Applicable Analysis. 52: 53-68. DOI: 10.1080/00036819408840224  0.418
1994 Estep D, French D. Global error control for the continuous Galerkin finite element method for ordinary differential equations Esaim: Mathematical Modelling and Numerical Analysis. 28: 815-852. DOI: 10.1051/M2An/1994280708151  0.348
1993 Estep D, Larsson S. The discontinuous Galerkin method for semilinear parabolic problems Esaim: Mathematical Modelling and Numerical Analysis. 27: 35-54. DOI: 10.1051/M2An/1993270100351  0.313
1991 Dieci L, Estep D. Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems Siam Journal On Scientific and Statistical Computing. 12: 1284-1303. DOI: 10.1137/0912069  0.504
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