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02/06/2023
Finite element discretizations for variable-order fractional diffusion problems
We present a finite element scheme for fractional diffusion problems wit...
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09/12/2021
H2Opus: A distributed-memory multi-GPU software package for non-local operators
Hierarchical ℋ^2-matrices are asymptotically optimal representations for...
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08/29/2021
Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies
We consider the multidimensional space-fractional diffusion equations wi...
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08/26/2021
H2OPUS-TLR: High Performance Tile Low Rank Symmetric Factorizations using Adaptive Randomized Approximation
Tile low rank representations of dense matrices partition them into bloc...
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03/23/2020
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
Hessian operators arising in inverse problems governed by partial differ...
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02/05/2019
Hierarchical Matrix Operations on GPUs: Matrix-Vector Multiplication and Compression
Hierarchical matrices are space and time efficient representations of de...
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05/21/2018
CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs
We present cudaclaw, a CUDA-based high performance data-parallel framewo...
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07/13/2017