Yuya Suzuki

activity

20212023

most citedAdS/BCFT with Brane-Localized Scalar Field

43 citations · 83 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.NA2022★ 2 cited

Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces

Takashi Goda, Yoshihito Kazashi, Yuya Suzuki

Randomized quadratures for integrating functions in Sobolev spaces of order $α \geq 1$ , where the integrability condition is with respect to the Gaussian measure, are considered. In…

math.NA2022★ 3 cited

Sub-optimality of Gauss--Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness

Yoshihito Kazashi, Yuya Suzuki, Takashi Goda

The sub-optimality of Gauss--Hermite quadrature and the optimality of the trapezoidal rule are proved in the weighted Sobolev spaces of square integrable functions of order $α$ , wh…

math.NA2021★ 9 cited

Scaled lattice rules for integration on $R^{d}$ achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces

Dirk Nuyens, Yuya Suzuki

We introduce a new method to approximate integrals $\int_{R^{d}} f (x) d x$ which simply scales lattice rules from the unit cube $[0,1]^…

Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces

Sub-optimality of Gauss--Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness

Scaled lattice rules for integration on Rd achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces

Scaled lattice rules for integration on $R^{d}$ achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces