Computing the Volume of Compact Semi-Algebraic Sets

DOI10.1145/3326229.3326262zbMath1467.14139arXiv1904.11705OpenAlexW2942214986MaRDI QIDQ5121115

Marc Mezzarobba, Pierre Lairez, Mohab Safey El Din

Publication date: 10 September 2020

Published in: Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11705

zbMATH Keywords

Picard-Fuchs equationssemi-algebraic setssymbolic-numeric algorithms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Semialgebraic sets and related spaces (14P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (7)

High-order quadrature on multi-component domains implicitly defined by multivariate polynomials ⋮ Efficient sampling in spectrahedra and volume approximation ⋮ Stokes, Gibbs, and volume computation of semi-algebraic sets ⋮ Nonlinear algebra and applications ⋮ Computing the Hausdorff Boundary Measure of Semialgebraic Sets ⋮ Minimizing Rational Functions: A Hierarchy of Approximations via Pushforward Measures ⋮ Linear differential equations as a data structure

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