25,741 research outputs found
Backward error analysis of polynomial approximations for computing the action of the matrix exponential
We describe how to perform the backward error analysis for the approximation of exp(A)v by p(s −1 A) s v, for any given polynomial p(x). The result of this analysis is an optimal choice of the scaling parameter s which assures a bound on the backward error, i.e. the equivalence of the approximation with the exponential of a slightly perturbed matrix. Thanks to the SageMath package expbea we have developed, one can optimize the performance of the given polynomial approximation. On the other hand, we employ the package for the analysis of polynomials interpolating the exponential function at so called Leja–Hermite points. The resulting method for the action of the matrix exponential can be considered an extension of both Taylor series approximation and Leja point interpolation. We illustrate the behavior of the new approximation with several numerical examples
Author Peter FitzSimons speaking at the National Library of Australia, Canberra, 13 November 2012 /
Title from acquisitions documentation.; Part of the collection: Portraits of author Peter FitzSimons speaking at the National Library of Australia, Canberra, 13 November 2012.; Acquired in digital format; access copy available online.; Mode of access: Online.; Photographed by a staff member of the National Library of Australia
Moral Good, the Beatific Vision, and God’s Kingdom Writings by Germain Grisez and Peter Ryan, S.J.. Edited by Peter J. Weigel
For close to half a century, the work of Germain Grisez has been highly influential, and his writings continue to receive considerable attention from philosophers and theologians of diverse viewpoints. His co-author for this work is the professor and noted moral theologian Fr. Peter Ryan, S.J., currently the executive director of the Secretariat of Doctrine and Canonical Affairs of the United States Conference of Catholic Bishops (USCCB). These two eminent scholars explore fundamental questions about Christian eschatology, moral theory, the purpose of human life, and the promise of human fulfilment. The authors examine Christian teaching on the final destiny of persons, investigating the meaning of God's kingdom, the hope of the beatific vision, and the centrality of moral goodness and divine grace in one's final end. This work is an ideal source for students, scholars, ministers and lay persons interested in basic questions of Christian theology, the philosophy of religion, ethical theory, and Catholic doctrin
Murder on the mountain: author talk with Peter J. Wosh
Author talk by Peter J. Wosh on May 5th, 2022, on his book, "Murder on the Mountain: crime, passion, and punishment in gilded age New Jersey.
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
The Leja method is a polynomial interpolation procedure that can be used to computematrix functions. In particular, computing the action of the matrix exponential on a given vector isa typical application. This quantity is required, e.g., in exponential integrators.The Leja method essentially depends on three parameters: the scaling parameter, the location ofthe interpolation points, and the degree of interpolation. We present here a backward error analysisthat allows us to determine these three parameters as a function of the prescribed accuracy. Addi-tional aspects that are required for an efficient and reliable implementation are discussed. Numericalexamples illustrating the performance of our Matlab code are included
Lunchtime Talk with Author and Attorney Peter Godwin
Author and attorney Peter Godwin gave a lunchtime talk about the topics discussed in his book, The Fear, which focuses on the human rights situation in Zimbabwe under the rule of Robert Mugabe
An essay about the Francis Paudras Collection on Bud Powell by Peter Pullman
This is an essay about the Francis Paudras Collection on Bud Powell written by Peter Pullman, a jazz scholar and author of Wail: The Life of Bud Powell (Brooklyn: Bop Changes, 2012).One image file (pdf)This project was supported by a Recordings at Risk grant from the Council on Library and Information Resources (CLIR). The grant program is made possible by funding from The Andrew W. Mellon Foundation
Professor Peter Singer speaking at the National Press Club Canberra, 11 February 2009 [picture] /
Title devised by cataloguer based on information from acquisitions documentation.; Part of the collection: Humanitarian author Professor Peter Singer at the National Press Club, Canberra, 11 February 2009.; Acquired in digital format; access copy available online.; Mode of access: Internet via World Wide Web.; Photographed by a staff member of the National Library of Australia, 2009
The Peter Martyr reader
Accession Number: ATLA0001328116; Language(s): English; Issued by ATLA: 20080715; Publication Type: Review; Related Books/Electronic Resources: By: Vermigli, Pietro Martire, 1499-1562 Peter Martyr reader viii, 260 p. Publisher: Kirksville, Mo.: Truman State University Press, 1999. ATLA0001327874Source type: Electronic(1)http://search.ebscohost.com/login.aspx?direct=true&db=reh&AN=ATLA0001328116&loginpage=Login.asp&site=ehost-liv
Peter Ngor
abstract: Peter was seven years old when his village was attacked. He walked to the border of Ethiopia, Sudan and into Kenya where he lived for eight years.
“Lost Boys Found” is an ongoing, interdisciplinary project that is collecting, recording and archiving the oral histories of the Lost Boys/Girls of Sudan. The collection is a work-in-progress, seeking to record the oral history of as many Lost Boys/Girls as are willing, and will be used in a future book.Age: 25Region: Southern SudanThis picture and bio was donated to the "Lost Boys Found" oral history project from The Arizona Lost Boys Cente
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