The nonlinear eigenvalue problem
Nonlinear eigenvalue problems arise in a variety of science and engineering applications,
and in the past ten years there have been numerous breakthroughs in the development of …
and in the past ten years there have been numerous breakthroughs in the development of …
The exponentially convergent trapezoidal rule
It is well known that the trapezoidal rule converges geometrically when applied to analytic
functions on periodic intervals or the real line. The mathematics and history of this …
functions on periodic intervals or the real line. The mathematics and history of this …
FEAST eigensolver for nonlinear eigenvalue problems
The linear FEAST algorithm is a method for solving linear eigenvalue problems. It uses
complex contour integration to calculate the eigenvectors associated with eigenvalues that …
complex contour integration to calculate the eigenvectors associated with eigenvalues that …
[HTML][HTML] Nonlinear eigenvalue problems and contour integrals
In this paper Beyn's algorithm for solving nonlinear eigenvalue problems is given a new
interpretation and a variant is designed in which the required information is extracted via the …
interpretation and a variant is designed in which the required information is extracted via the …
Efficient parameter estimation and implementation of a contour integral-based eigensolver
We consider an eigensolver for computing eigenvalues in a given domain and the
corresponding eigenvectors of large-scale matrix pencils. The Sakurai-Sugiura (SS) method …
corresponding eigenvectors of large-scale matrix pencils. The Sakurai-Sugiura (SS) method …
Coupled BE–FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method
T Liang, J Wang, J ** in sandwich structures using finite and boundary element methods and a nonlinear eigensolver
The fully coupled vibroacoustic interaction of sandwich panels is studied using the finite and
the boundary element methods. The extent of radiation dam** is quantified for various …
the boundary element methods. The extent of radiation dam** is quantified for various …
Relationships among contour integral-based methods for solving generalized eigenvalue problems
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 …
eigenvalue problems that find all eigenvalues located in a certain region and their …
[HTML][HTML] Effect of boundary conditions in the experimental determination of structural dam**
Building a digital twin representing the dynamical behaviour of a structure requires
knowledge of its material and geometrical properties. While geometry, mass and stiffness …
knowledge of its material and geometrical properties. While geometry, mass and stiffness …
Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain
For thin elastic structures submerged in heavy fluid, eg, water, a strong interaction between
the structural domain and the fluid domain occurs and significantly alters the …
the structural domain and the fluid domain occurs and significantly alters the …