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

On a Recovery Problem

by M. D. Buhmann and A. Pinkus

(Report number 1995-16)

Abstract
This paper concerns itself with the recovery of the coefficients, shifts and, where applicable, dilates of a given form $$f(\bfx) = \sum^m_{j=1} c_j \;G(\bfx- \bft_j)\,, {\rm \ or\ \,} f(\bfx) = \sum^m_{j=1} c_j \;g(\bfa_j \cdot \bfx - b_j)\,, \quad \bfx\in \RR^n,$$ where emf/em, emG/em and emg/em are known. That is, we provide a method that identifies the quantities $c_j$, $\bft_j$, $\bfa_j$ and $b_j$. In some cases we can even find emG/em given only emf/em and knowing that emf/em is of the above form.

Keywords: scalar advection equation, difference scheme,accuracy, stability, order star, algebraic function, Riemann surface

@Techreport{BP95_183,
  author = {M. D. Buhmann and A. Pinkus},
  title = {On a Recovery Problem},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1995-16},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1995/1995-16.pdf },
  year = {1995}
}

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).