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75 Years of Mathematics of Computation
About this Title
Susanne C. Brenner, Louisiana State University, Baton Rouge, LA, Igor Shparlinski, The University of New South Wales, Sydney, Australia, Chi-Wang Shu, Brown University, Providence, RI and Daniel B. Szyld, Temple University, Philadelphia, PA, Editors
Publication: Contemporary Mathematics
Publication Year:
2020; Volume 754
ISBNs: 978-1-4704-5163-9 (print); 978-1-4704-5637-5 (online)
DOI: https://doi.org/10.1090/conm/754
Table of Contents
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Front/Back Matter
Articles
- Markus Bachmayr and Wolfgang Dahmen – Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity
- Fleurianne Bertrand and Daniele Boffi – The Prager–Synge theorem in reconstruction based a posteriori error estimation
- Juan Pablo Borthagaray, Wenbo Li and Ricardo H. Nochetto – Linear and nonlinear fractional elliptic problems
- Ronald Cools, Frances Y. Kuo, Dirk Nuyens and Ian H. Sloan – Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
- Qiang Du, Bjorn Engquist and Xiaochuan Tian – Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues
- Michael Neilan – The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows
- Peter Monk and Yangwen Zhang – Finite element methods for Maxwell’s equations
- Adam M. Oberman – Partial differential equation regularization for supervised machine learning
- Yousef Saad – Iterative methods for linear systems of equations: A brief historical journey
- Jie Shen and Xiaofeng Yang – The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
- Chi-Wang Shu – A class of bound-preserving high order schemes: The main ideas and recent developments
- Olof B. Widlund – BDDC domain decomposition algorithms
- Perlas Caranay, Matthew Greenberg and Renate Scheidler – Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields
- Nicolas David and Paul Zimmermann – A new ranking function for polynomial selection in the number field sieve
- Bettina Eick and Tobias Moede – A nilpotent quotient algorithm for finitely presented associative $\mathbb {Z}$-algebras and its application to integral group rings
- Michael J. Mossinghoff and Timothy S. Trudgian – A tale of two omegas