Stokes, Gibbs, and volume computation of semi-algebraic sets
DOI10.1007/s00454-022-00462-0OpenAlexW3089100935MaRDI QIDQ2679606
Didier Henrion, Matteo Tacchi, Jean-Bernard Lasserre
Publication date: 23 January 2023
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.12139
convex optimizationStokes' theoremGibbs phenomenonreal algebraic geometrynumerical methods for multivariate integration
Semidefinite programming (90C22) Approximation methods and heuristics in mathematical programming (90C59) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65) Semialgebraic sets and related spaces (14P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Numerical integration (65D30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A practical volume algorithm
- Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets
- Schauder estimate for solutions of Poisson's equation with Neumann boundary condition
- Computing Gaussian \& exponential measures of semi-algebraic sets
- Exploiting sparsity for semi-algebraic set volume computation
- Convex Computation of the Region of Attraction of Polynomial Control Systems
- GloptiPoly 3: moments, optimization and semidefinite programming
- Approximate Volume and Integration for Basic Semialgebraic Sets
- Computing the Volume of Compact Semi-Algebraic Sets
- Computing the Hausdorff Boundary Measure of Semialgebraic Sets
- Near-optimal deterministic algorithms for volume computation via M-ellipsoids
- Convex Optimization and Parsimony of $L_p$-balls Representation
This page was built for publication: Stokes, Gibbs, and volume computation of semi-algebraic sets
