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06/28/2023
Summation-by-parts operators for general function spaces: The second derivative
Many applications rely on solving time-dependent partial differential eq...
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03/29/2023
Leveraging joint sparsity in hierarchical Bayesian learning
We present a hierarchical Bayesian learning approach to infer jointly sp...
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01/30/2023
Towards stability results for global radial basis function based quadrature formulas
Quadrature formulas (QFs) based on radial basis functions (RBFs) have be...
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01/30/2023
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction
Summation-by-parts (SBP) operators allow us to systematically develop en...
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06/25/2022
Sequential image recovery using joint hierarchical Bayesian learning
Recovering temporal image sequences (videos) based on indirect, noisy, o...
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04/07/2022
Energy-stable global radial basis function methods on summation-by-parts form
Radial basis function methods are powerful tools in numerical analysis a...
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03/28/2022
Sequential image recovery from noisy and under-sampled Fourier data
A new algorithm is developed to jointly recover a temporal sequence of i...
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03/10/2022
Summation-by-parts operators for general function spaces
Summation-by-parts (SBP) operators are popular building blocks for syste...
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01/18/2022
Generalized sparse Bayesian learning and application to image reconstruction
Image reconstruction based on indirect, noisy, or incomplete data remain...
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08/13/2021
Towards stability of radial basis function based cubature formulas
Cubature formulas (CFs) based on radial basis functions (RBFs) have beco...
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08/05/2021
Construction and application of provable positive and exact cubature formulas
Many applications require multi-dimensional numerical integration, often...
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02/01/2021
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions
It is well understood that boundary conditions (BCs) may cause global ra...
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01/24/2021
Towards Stable Radial Basis Function Methods for Linear Advection Problems
In this work, we investigate (energy) stability of global radial basis f...
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09/24/2020
Constructing Positive Interpolatory Cubature Formulas
Positive interpolatory cubature formulas (CFs) are constructed for quite...
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09/07/2020
Stable High-Order Cubature Formulas for Experimental Data
In many applications, it is impractical—if not even impossible—to obtain...
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07/17/2020
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions
Numerical integration is encountered in all fields of numerical analysis...
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01/02/2020
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
In this work, we propose and investigate stable high-order collocation-t...
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07/09/2019