1 citations · 1 across the 5 of their papers we have counts for
9 papers
Isogeometric Analysis of Bound States of a Quantum Three-Body Problem in 1D
Quanling Deng
In this paper, we initiate the study of isogeometric analysis (IGA) of a quantum three-body problem that has been well-known to be difficult to solve. In the IGA setting, we repres…
A boundary-penalized isogeometric analysis for second-order hyperbolic equations
Quanling Deng, Pouria Behnoudfar, Victor Calo
Explicit time-marching schemes are popular for solving time-dependent partial differential equations; one of the biggest challenges these methods suffer is increasing the critical…
Higher-order generalized- methods for parabolic problems
Pouria Behnoudfar, Quanling Deng, Victor M. Calo
We propose a new class of high-order time-marching schemes with dissipation user-control and unconditional stability for parabolic equations. High-order time integrators can delive…
Outlier removal for isogeometric spectral approximation with the optimally-blended quadratures
Quanling Deng, Victor Calo
It is well-known that outliers appear in the high-frequency region in the approximate spectrum of isogeometric analysis of the second-order elliptic operator. Recently, the outlier…
SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators
Quanling Deng, Alexandre Ern
We propose, analyze mathematically, and study numerically a novel approach for the finite element approximation of the spectrum of second-order elliptic operators. The main idea is…
Analytical solutions to some generalized and polynomial eigenvalue problems
Quanling Deng
It is well-known that the finite difference discretization of the Laplacian eigenvalue problem leads to a matrix eigenvalue problem (EVP) where the matrix …