Estep, D. Error estimates for multiscale operator decomposition for multiphysics models. (English) Zbl 1218.65100 Fish, Jacob (ed.), Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press (ISBN 978-0-19-923385-4/hbk). 305-390 (2010). MSC: 65M15 65M20 35K57 65M12 PDFBibTeX XMLCite \textit{D. Estep}, in: Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press. 305--390 (2010; Zbl 1218.65100) Full Text: DOI Link
Estep, Donald Practical analysis in one variable. Transl. from the English by the djs\(^2\) GmbH with the collaboration of Stefanie Thorns. (Angewandte Analysis in einer Unbekannten.) (German) Zbl 1097.26003 Springer-Lehrbuch. Berlin: Springer (ISBN 3-540-21898-X/pbk). xxii, 677 p. (2005). MSC: 26-01 00A05 65-01 PDFBibTeX XMLCite \textit{D. Estep}, Angewandte Analysis in einer Unbekannten. Berlin: Springer (2005; Zbl 1097.26003)
Estep, Donald Practical analysis in one variable. (English) Zbl 1038.26001 Undergraduate Texts in Mathematics. New York, NY: Springer (ISBN 0-387-95484-8/hbk). xx, 621 p. (2002). Reviewer: Peter Bundschuh (Köln) MSC: 26-01 00A05 PDFBibTeX XMLCite \textit{D. Estep}, Practical analysis in one variable. New York, NY: Springer (2002; Zbl 1038.26001)
Estep, Donald A modified equation for dispersive difference schemes. (English) Zbl 0832.65096 Appl. Numer. Math. 17, No. 3, 299-309 (1995). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 35L45 PDFBibTeX XMLCite \textit{D. Estep}, Appl. Numer. Math. 17, No. 3, 299--309 (1995; Zbl 0832.65096) Full Text: DOI
Estep, Donald A posteriori error bounds and global error control for approximation of ordinary differential equations. (English) Zbl 0820.65052 SIAM J. Numer. Anal. 32, No. 1, 1-48 (1995). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L50 65L60 65L05 34A30 PDFBibTeX XMLCite \textit{D. Estep}, SIAM J. Numer. Anal. 32, No. 1, 1--48 (1995; Zbl 0820.65052) Full Text: DOI
Estep, Donald An analysis of numerical dispersion in approximations on the linear Korteweg-de Vries equation. (English) Zbl 0839.65094 Appl. Anal. 52, No. 1-4, 53-68 (1994). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{D. Estep}, Appl. Anal. 52, No. 1--4, 53--68 (1994; Zbl 0839.65094) Full Text: DOI
Estep, Donald An analysis of numerical approximations of metastable solutions of the bistable equation. (English) Zbl 0808.65094 Nonlinearity 7, No. 5, 1445-1462 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65M60 35K55 PDFBibTeX XMLCite \textit{D. Estep}, Nonlinearity 7, No. 5, 1445--1462 (1994; Zbl 0808.65094) Full Text: DOI
Estep, Donald The boundedness of dispersive difference schemes via a normal form analysis. (English) Zbl 0769.65063 Hyperbolic problems. Theory, numerical methods and applications. Vol. I, Proc. Conf., Uppsala/Sweden 1990, 395-408 (1991). MSC: 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{D. Estep}, in: Third international conference on hyperbolic problems. Theory, numerical methods and applications. Proceedings of the conference dedicated to Professor Heinz-Otto Kreiss on his 60th birthday, held in Uppsala, Sweden, June 11-15, 1990. Vol. I. Lund: Studentlitteratur; Bromley: Chartwell-Bratt Ltd.. 395--408 (1991; Zbl 0769.65063)