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75 Years of Mathematics of Computation: (Contemporary Mathematics)

75 Years of Mathematics of Computation: (Contemporary Mathematics)

          
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About the Book

The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.

Table of Contents:
Preface Invited presentations at the symposium Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity, Markus Bachmayr and Wolfgang Dahmen The Prager–Synge theorem in reconstruction based a posteriori error estimation, Fleurianne Bertrand and Daniele Boffi Linear and nonlinear fractional elliptic problems, Juan Pablo Borthagaray, Wenbo Li, and Ricardo H. Nochetto Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, Ronald Cools, Frances Y. Kuo, Dirk Nuyens, and Ian H. Sloan Multiscale modeling, homogenization and nonlocal effects: Mathematical andcomputational issues, Qiang Du, Bjorn Engquist, and Xiaochuan Tian The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows, Michael Neilan Finite element methods for Maxwell’s equations, Peter Monk and Yangwen Zhang Partial differential equation regularization for supervised machine learning, Adam M. Oberman Iterative methods for linear systems of equations: A brief historical journey, Yousef Saad The IEQ and SAV approaches and their extensions for a class of highlynonlinear gradient flow systems, Jie Shen and Xiaofeng Yang A class of bound-preserving high order schemes: The main ideas and recent developments, Chi-Wang Shu BDDC domain decomposition algorithms, Olof B. Widlund Computing modular polynomials and isogenies of rank two Drinfeldmodules over finite fields, Perlas Caranay, Matthew Greenberg, and Renate Scheidler A new ranking function for polynomial selection in the number field sieve, Nicolas David and Paul Zimmermann A nilpotent quotient algorithm for finitely presented associative Z-algebras and its application to integral group rings, Bettina Eick and Tobias Moede A tale of two omegas, Michael J. Mossinghoff and Timothy S. Trudgian


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Product Details
  • ISBN-13: 9781470451639
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 254 mm
  • No of Pages: 364
  • Spine Width: 22 mm
  • Width: 178 mm
  • ISBN-10: 1470451638
  • Publisher Date: 30 Sep 2020
  • Binding: Paperback
  • Language: English
  • Series Title: Contemporary Mathematics
  • Weight: 669 gr


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