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75 Years of Mathematics of Computation [Mīkstie vāki]

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  • Formāts: Paperback / softback, 364 pages, height x width: 254x178 mm, weight: 669 g
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 01-Jul-2020
  • Izdevniecība: American Mathematical Society
  • ISBN-10: 1470451638
  • ISBN-13: 9781470451639
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  • Mīkstie vāki
  • Cena: 141,85 €
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  • Formāts: Paperback / softback, 364 pages, height x width: 254x178 mm, weight: 669 g
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 01-Jul-2020
  • Izdevniecība: American Mathematical Society
  • ISBN-10: 1470451638
  • ISBN-13: 9781470451639
Citas grāmatas par šo tēmu:
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 13, 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.
Preface vii
Invited presentations at the symposium ix
Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity
1(44)
Markus Bachmayr
Wolfgang Dahmen
The Prager--Synge theorem in reconstruction based a posteriori error estimation
45(24)
Fleurianne Bertrand
Daniele Boffi
Linear and nonlinear fractional elliptic problems
69(24)
Juan Pablo Borthagaray
Wenbo Li
Ricardo H. Nochetto
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
93(22)
Ronald Cools
Frances Y. Kuo
Dirk Nuyens
Ian H. Sloan
Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues
115(26)
Qiang Du
Bjorn Engquist
Xiaochuan Tian
The Stokes complex: A review of exactly divergence--free finite element pairs for incompressible flows
141(18)
Michael Neilan
Finite element methods for Maxwell's equations
159(18)
Peter Monk
Yangwen Zhang
Partial differential equation regularization for supervised machine learning
177(20)
Adam M. Oberman
Iterative methods for linear systems of equations: A brief historical journey
197(20)
Yousef Saad
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
217(30)
Jie Shen
Xiaofeng Yang
A class of bound-preserving high order schemes: The main ideas and recent developments
247(14)
Chi-Wang Shu
BDDC domain decomposition algorithms
261(22)
Olof B. Widlund
Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields
283(32)
Perlas Caranay
Matthew Greenberg
Renate Scheidler
A new ranking function for polynomial selection in the number field sieve
315(12)
Nicolas David
Paul Zimmermann
A nilpotent quotient algorithm for finitely presented associative Z-algebras and its application to integral group rings
327(16)
Bettina Eick
Tobias Moede
A tale of two omegas
343
Michael J. Mossinghoff
Timothy S. Trudgian