274 citations · 661 across the 37 of their papers we have counts for
5 papers · 1 filter
The computation of seismic normal modes with rotation as a quadratic eigenvalue problem
Jia Shi, Ruipeng Li, Yuanzhe Xi +2
A new approach is presented to compute the seismic normal modes of a fully heterogeneous, rotating planet. Special care is taken to separate out the essential spectrum in the prese…
Iterative methods for linear systems of equations: A brief historical journey
Yousef Saad
This paper presents a brief historical survey of iterative methods for solving linear systems of equations. The journey begins with Gauss who developed the first known method that…
A rational approximation method for solving acoustic nonlinear eigenvalue problems
Mohamed El-Guide, Agnieszka Miedlar, Yousef Saad
We present two approximation methods for computing eigenfrequencies and eigenmodes of large-scale nonlinear eigenvalue problems resulting from boundary element method (BEM) solutio…
A non-perturbative approach to computing seismic normal modes in rotating planets
Jia Shi, Ruipeng Li, Yuanzhe Xi +2
A Continuous Galerkin method-based approach is presented to compute the seismic normal modes of rotating planets. Special care is taken to separate out the essential spectrum in th…
A rational approximation method for the nonlinear eigenvalue problem
Yousef Saad, Mohamed El-Guide, Agnieszka Międlar
This paper presents a method for computing eigenvalues and eigenvectors for some types of nonlinear eigenvalue problems. The main idea is to approximate the functions involved in t…