Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Asymptotically Optimal Approximation and Numerical Solutions of Differential Equations

by M. D. Buhmann and Ch. A. Micchelli and A. Ron

(Report number 1996-17)

Abstract
An optimal finite difference method for the numerical solution of the Cauchy problem for a given partial differential equation is, by definition, the scheme that minimises the local truncation error after one step. In this paper we conduct a study of certain extremal problems that are closely related to optimal finite difference schemes for finding numerical solutions of such problems.

Keywords:

@Techreport{BMR96_200,
  author = {M. D. Buhmann and Ch. A. Micchelli and A. Ron},
  title = {Asymptotically Optimal Approximation and Numerical Solutions of Differential Equations},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1996-17},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1996/1996-17.pdf },
  year = {1996}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).