Tino Ullrich

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math.NA2026

Quantum integration in Besov spaces with mixed smoothness

Bernd Käßemodel, Tino Ullrich

We study the complexity of high-dimensional integration of periodic functions from Besov spaces $S_{p, q}^{r} B (T^{d})$ with mixed smoothness in the quantum model of computation…

math.NA2025

Tent transformed order $2$ nets and quasi-Monte Carlo rules with quadratic error decay

Bernd Käßemodel, Nicolas Nagel, Tino Ullrich

We investigate the use of order $2$ digital nets for quasi-Monte Carlo quadrature of nonperiodic functions with bounded mixed second derivative over the cube. By using the so-calle…

math.NA2025

Besov regularity of multivariate non-periodic functions in terms of half-period cosine coefficients and consequences for recovery and numerical integration

Martin Schäfer, Tino Ullrich

In the setting of $d$ -variate periodic functions, often modelled as functions on the torus $T^{d} ≅ [0, 1]^{d}$ , the classical tensorized Fourier system is the system of choi…

Quantum integration in Besov spaces with mixed smoothness

Tent transformed order 2 nets and quasi-Monte Carlo rules with quadratic error decay

Besov regularity of multivariate non-periodic functions in terms of half-period cosine coefficients and consequences for recovery and numerical integration

Tent transformed order $2$ nets and quasi-Monte Carlo rules with quadratic error decay