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Generalized Taylor–Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations
Published 2016“…We present a generic technique, automated by computer-algebra systems and available as open-source software, for efficient numerical evaluation of a large family of singular and nonsingular four-dimensional integrals over triangle-product domains, such as those arising in the boundary-element method (BEM) of computational electromagnetism. …”
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Algebraic Statistics in Practice: Applications to Networks
Published 2022“…Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical statistics. …”
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Exploiting Chordal Structure in Polynomial Ideals: A Gröbner Bases Approach
Published 2017“…In this paper, we begin the study of how to exploit chordal structure in computational algebraic geometry---in particular, for solving polynomial systems. …”
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