Mathematical Approximation and Integration
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Scope of this subject
This cluster of papers focuses on high-dimensional integration techniques, particularly emphasizing the use of Quasi-Monte Carlo methods, lattice rules, and randomized approaches for multivariate approximation. The research also delves into applications in spherical crystals, discrepancy minimization, and the tractability of numerical integration in weighted spaces.
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Research vocabulary
quasi-Monte Carlo; high-dimensional integration; low-discrepancy sequences; Monte Carlo integration; uniform distribution modulo one; discrepancy; cubature formulas; multidimensional integration; multivariate approximation; linear congruential generator; lattice rules; multivariate integration; pseudorandom numbers; discrepancy theory; quasi-Monte Carlo integration; sparse grids; numerical integration error; worst-case error; Halton sequence; star discrepancy; Sobol sequence; digital nets; discrepancy bounds; spherical codes; information-based complexity
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Local answer status
No owner-reviewed answer has been published for this exact subject page. This is a gap in this collection; it does not establish that the answer is unavailable elsewhere.
Numeric address and provenance
Morton address: 38351240602463281 · morton4x16-v1
Coordinates: (3, 26, 2612, 12404). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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