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75 years of mathematics of computation : symposium celebrating 75 Years of Mathematics of Computation, November 1-3, 2018, the Institute for Computational and Experimental Research in Mathematics (ICERM) / Susanne C. Brenner, Igor Shparlinski, Chi-Wang Shu, Daniel B. Szyld, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Brenner, Susanne C., editor.
- Conference Name:
- Celebrating 75 Years of Mathematics of Computation (2018: Providence, R.I.), author.
- Series:
- Contemporary mathematics (American Mathematical Society) ; 754.
- Contemporary Mathematics ; 754
- Language:
- English
- Subjects (All):
- Numerical analysis--Congresses.
- Numerical analysis.
- Number theory--Data processing--Congresses.
- Number theory.
- Computational complexity--Congresses.
- Computational complexity.
- Physical Description:
- 1 online resource (378 pages) : illustrations
- Edition:
- 1st ed.
- Other Title:
- Mathematics of computation.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2020.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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
- Multivariate modeling, homogenization and nonlocal effects : mathematical and computational 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 highly nonlinear 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 Drinfeld modules over finite fields / P. Caranay, M. Greenberg, and R. 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.
- Notes:
- Includes bibliographical references.
- Description based on print version record.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9781470456375
- 1470456370
- OCLC:
- 1224370658
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