Tino Ullrich

collaborators

3 papers

math.FA2025

Beyond Tchakaloff Quadrature: Positive Functionals, Frames and Widths

Martin SchÃ¤fer, Tino Ullrich

Tchakaloff's theorem from 1957 asserts the existence of exact quadrature rules with non-negative weights for any polynomial space of finite degree on $R^{d}$ if the underlyi…

math.NA2025

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

Bernd KÃ¤Ãemodel, 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 SchÃ¤fer, 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…

Beyond Tchakaloff Quadrature: Positive Functionals, Frames and Widths

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