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These are the proceedings of the 24th International Conference on
Domain Decomposition Methods in Science and Engineering, which was
held in Svalbard, Norway in February 2017. Domain decomposition
methods are iterative methods for solving the often very large
systems of equations that arise when engineering problems are
discretized, frequently using finite elements or other modern
techniques. These methods are specifically designed to make
effective use of massively parallel, high-performance computing
systems. The book presents both theoretical and computational
advances in this domain, reflecting the state of art in 2017.
Numerical partial differential equations (PDEs) are an important
part of numerical simulation, the third component of the modern
methodology for science and engineering, besides the traditional
theory and experiment. This volume contains papers that originated
with the collaborative research of the teams that participated in
the IMA Workshop for Women in Applied Mathematics: Numerical
Partial Differential Equations and Scientific Computing in August
2014.
Numerical partial differential equations (PDEs) are an important
part of numerical simulation, the third component of the modern
methodology for science and engineering, besides the traditional
theory and experiment. This volume contains papers that originated
with the collaborative research of the teams that participated in
the IMA Workshop for Women in Applied Mathematics: Numerical
Partial Differential Equations and Scientific Computing in August
2014.
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.
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