4 papers
Efficient multivariate approximation on the cube
Robert Nasdala, Daniel Potts
We combine a periodization strategy for weighted -integrands with efficient approximation methods in order to approximate multivariate non-periodic functions on the high-dim…
A sparse FFT approach for ODE with random coefficients
Maximilian Bochmann, Lutz Kämmerer, Daniel Potts
The paper presents a general strategy to solve ordinary differential equations (ODE), where some coefficient depend on the spatial variable and on additional random variables. The…
Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P2NFFT method
Rudolf Weeber, Franziska Nestler, Florian Weik +3
Magnetic gels are soft elastic materials consisting of magnetic particles embedded in a polymer network. Their shape and elasticity can be controlled by an external magnetic field,…
Transformed rank-1 lattices for high-dimensional approximation
Robert Nasdala, Daniel Potts
This paper describes an extension of Fourier approximation methods for multivariate functions defined on the torus to functions in a weighted Hilbert space $L_{2}(\m…