4 papers
Efficient and Scalable Wave Function Compression Using Corner Hierarchical Matrices
Kenneth O. Berard, Hongji Gao, Alexander Teplukhin +2
The exponential scaling of complete active space (CAS) and full configuration interaction (CI) calculations limits the ability of quantum chemists to simulate the electronic struct…
Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions
Yipeng Li, Qiao Chen, Xiangmin Jiao
In many applications, piecewise continuous functions are commonly interpolated over meshes. However, accurate high-order manipulations of such functions can be challenging due to p…
Preserving Superconvergence of Spectral Elements for Curved Domains via and -Geometric Refinement
Jacob Jones, Rebecca Conley, Xiangmin Jiao
Spectral element methods (SEM), which are extensions of finite element methods (FEM), are important emerging techniques for solving partial differential equations in physics and en…
Optimal Solutions of Well-Posed Linear Systems via Low-Precision Right-Preconditioned GMRES with Forward and Backward Stabilization
Xiangmin Jiao
Linear systems in applications are typically well-posed, and yet the coefficient matrices may be nearly singular in that the condition number may be close to $1…