4 papers
Mode-realigned pointwise interpolation (MRPWI) for efficient POD-Galerkin parametric reduced-order models
Lei Du, Shengqi Zhang
As a cornerstone of reduced-order modeling, the POD-Galerkin framework has garnered widespread attention and remains one of the most widely adopted approaches. Constructing POD-Gal…
Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously
Xian-Ming Gu, Ting-Zhu Huang, Bruno Carpentieri +3
Multi-shifted linear systems with non-Hermitian coefficient matrices arise in numerical solutions of time-dependent partial/fractional differential equations (PDEs/FDEs), in contro…
A map of contour integral-based eigensolvers for solving generalized eigenvalue problems
Akira Imakura, Lei Du, Tetsuya Sakurai
Recently, contour integral-based methods have been actively studied for solving interior eigenvalue problems that find all eigenvalues located in a certain region and their corresp…
Restarted Hessenberg method for solving shifted nonsymmetric linear systems
Xian-Ming Gu, Ting-Zhu Huang, Guojian Yin +3
It is known that the restarted full orthogonalization method (FOM) outperforms the restarted generalized minimum residual (GMRES) method in several circumstances for solving shifte…