Connors, Jeffrey M.; Banks, Jeffrey W.; Hittinger, Jeffrey A.; Woodward, Carol S. Quantification of errors for operator-split advection-diffusion calculations. (English) Zbl 1296.65119 Comput. Methods Appl. Mech. Eng. 272, 181-197 (2014). MSC: 65M08 65M15 35K57 PDFBibTeX XMLCite \textit{J. M. Connors} et al., Comput. Methods Appl. Mech. Eng. 272, 181--197 (2014; Zbl 1296.65119) Full Text: DOI
Banks, J. W.; Hittinger, J. A. F.; Connors, J. M.; Woodward, C. S. A posteriori error estimation via nonlinear error transport with application to shallow water. (English) Zbl 1285.65058 Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). Contemporary Mathematics 586, 35-42 (2013). Reviewer: Vladimir Mityushev (Kraków) MSC: 65M15 65M06 65M08 35Q53 76B15 76M20 76M12 PDFBibTeX XMLCite \textit{J. W. Banks} et al., Contemp. Math. 586, 35--42 (2013; Zbl 1285.65058) Full Text: DOI
Connors, Jeffrey M.; Banks, Jeffrey W.; Hittinger, Jeffrey A.; Woodward, Carol S. A method to calculate numerical errors using adjoint error estimation for linear advection. (English) Zbl 1271.65127 SIAM J. Numer. Anal. 51, No. 2, 894-926 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65M15 65M08 65M12 35L02 PDFBibTeX XMLCite \textit{J. M. Connors} et al., SIAM J. Numer. Anal. 51, No. 2, 894--926 (2013; Zbl 1271.65127) Full Text: DOI Link
Banks, J. W.; Hittinger, Jeffrey A. F.; Connors, Jeffrey M.; Woodward, Carol S. Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport. (English) Zbl 1243.65102 Comput. Methods Appl. Mech. Eng. 213-216, 1-15 (2012). MSC: 65M06 65M08 65M15 35D30 35L65 PDFBibTeX XMLCite \textit{J. W. Banks} et al., Comput. Methods Appl. Mech. Eng. 213--216, 1--15 (2012; Zbl 1243.65102) Full Text: DOI