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Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models
Multilevel Stein variational gradient descent is a method for particle-based variational inference that leverages hierarchies of surrogate target...
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On an accurate numerical integration for the triangular and tetrahedral spectral finite elements
In the triangular/tetrahedral spectral finite elements, we apply a bilinear/trilinear transformation to map a reference square/cube to a...
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An adaptive time-step** Fourier pseudo-spectral method for the Zakharov-Rubenchik equation
An adaptive time-step** scheme is developed for the Zakharov-Rubenchik system to resolve the multiple time scales accurately and to improve the...
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Convergence of projected subgradient method with sparse or low-rank constraints
Many problems in data science can be treated as recovering structural signals from a set of linear measurements, sometimes perturbed by dense noise...
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Extrapolated regularization of nearly singular integrals on surfaces
We present a method for computing nearly singular integrals that occur when single or double layer surface integrals, for harmonic potentials or...
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Stochastic modeling of stationary scalar Gaussian processes in continuous time from autocorrelation data
We consider the problem of constructing a vector-valued linear Markov process in continuous time, such that its first coordinate is in good agreement...
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On relaxed inertial projection and contraction algorithms for solving monotone inclusion problems
We present three novel algorithms based on the forward-backward splitting technique for the solution of monotone inclusion problems in real Hilbert...
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Dark-is-More Bias Also in Dark Mode? Perception of Colours in Choropleth Maps in Dark Mode
Dark mode is an increasingly common design option in which a dark screen background is used with light-coloured text and graphic elements. This...
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An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system
In this paper, the rotational pressure-correction schemes for the closed-loop geothermal system are developed and analyzed. The primary benefit of...
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Numerical methods for forward fractional Feynman–Kac equation
Fractional Feynman–Kac equation governs the functional distribution of the trajectories of anomalous diffusion. The non-commutativity of the integral...
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Semi-active dam** optimization of vibrational systems using the reduced basis method
In this article, we consider vibrational systems with semi-active dam** that are described by a second-order model. In order to minimize the...
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A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system
This paper is devoted to the numerical approximations of the Cahn-Hilliard-Darcy-Stokes system, which is a combination of the modified Cahn-Hilliard...
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Approximation in the extended functional tensor train format
This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product...
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An optimal control framework for adaptive neural ODEs
In recent years, the notion of neural ODEs has connected deep learning with the field of ODEs and optimal control. In this setting, neural networks...
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Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions....
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An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The embedded boundary of...
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A sparse approximation for fractional Fourier transform
The paper promotes a new sparse approximation for fractional Fourier transform, which is based on adaptive Fourier decomposition in Hardy-Hilbert...
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Error analysis of a collocation method on graded meshes for a fractional Laplacian problem
The numerical solution of a 1D fractional Laplacian boundary value problem is studied. Although the fractional Laplacian is one of the most important...