D. Estep and R. Williams, Accurate parallel integration of large sparse systems of di#erential equations, Math. Models Meth. Appl. Sci., 6 (1996), pp. 535--568. Home/Search Document Details and Download
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Slow Motion in Higher-Order Systems and.. - Kalies, VanderVorst.. (1997) (Correct)
.... the case of slow motion in the Cahn Hilliard equation this was pointed out by Elliott and French [22] Only recently has it been demonstrated that meaningful computation of slow motion is actually possible, compare for example Estep [23] Estep, Verduyn Lunel, and Williams [24] Estep and Williams [25], as well as Reyna and Ward [49] As the number of references attests, much analysis has been devoted to the study of slow motion of transition layers in the solutions to one dimensional bistable partial differential equations. There are basically two approaches to a mathematical understanding ....
D. J. Estep and R. D. Williams. Accurate parallel integration of large sparse systems of differential equations. Preprint, 1995.
Slow Motion in Higher-Order Systems and.. - Kalies, VanderVorst, al. (1999) (Correct)
.... the case of slow motion in the CahnHilliard equation this was pointed out by Elliott and French [17] Only recently has it been demonstrated that meaningful computation of slow motion is actually possible, compare for example Estep [18] Estep, Verduyn Lunel, and Williams [19] Estep and Williams [20], as well as Reyna and Ward [39] As the number of references attests, much analysis has been devoted to the study of slow motion of transition layers in the solutions to one dimensional bistable partial differential equations. There are basically two approaches to a mathematical understanding of ....
D. J. Estep and R. D. Williams. Accurate parallel integration of large sparse systems of differential equations. Mathematical Models & Methods in Applied Sciences, 6:535--568, 1996.
Generalized Green's Functions and the Effective Domain of.. - Estep, Holst, Larson (2002) Self-citation (Estep) (Correct)
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D. Estep and R. Williams, Accurate parallel integration of large sparse systems of di#erential equations, Math. Models Meth. Appl. Sci., 6 (1996), pp. 535--568.
Accounting for Stability: A Posteriori Error Estimates.. - Estep, Holst, Mikulencak (2001) Self-citation (Estep) (Correct)
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D. Estep and R. Williams, Accurate parallel integration of large sparse systems of di#erential equations, Math. Models Meth. Appl. Sci., 6 (1996), pp. 535--568.
Using Krylov-Subspace Iterations in Discontinuous Galerkin.. - Estep, Freund Self-citation (Estep) (Correct)
....test functions v in (3) The resulting Jacobian is now of the form JM = B 0 0 B kn 6 ffl A Gammaffl A 3 ffl A 3 ffl A Gamma kn RM : 7) Note that the mixed basis makes the time derivative part of JM blockdiagonal. The mixed basis is used in the reaction diffusion solver Cards [5,6]. The motivation for this choice is that in (7) JM becomes a very simple matrix as the time step kn is reduced. In fact, for equidistant regular spatial grids, B = I and thus JM I as kn 0. This is exploited in Cards, in the sense that the time step is reduced every time the Krylov subspace ....
Estep, D., Williams, R.: Accurate parallel integration of large sparse systems of differential equations. Math. Models Meth. Appl. Sci. 6 (1996) 535--568
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