53 citations · 153 across the 17 of their papers we have counts for
18 papers
A semi-discrete first-order low regularity exponential integrator for the "good" Boussinesq equation without loss of regularity
Hang Li, Chunmei Su
In this paper, we propose a semi-discrete first-order low regularity exponential-type integrator (LREI) for the ``good" Boussinesq equation. It is shown that the method is converge…
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
Wei Jiang, Chunmei Su, Ganghui Zhang
We propose and analyze a semi-discrete parametric finite element scheme for solving the area-preserving curve shortening flow. The scheme is based on Dziuk's approach (SIAM J. Nume…
Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential
Remi Carles, Chunmei Su
We consider the Schrodinger equation with a logarithmic nonlinearity and a repulsive harmonic potential. Depending on the parameters of the equation, the solution may or may not be…
Scattering and uniform in time error estimates for splitting method in NLS
Rémi Carles, Chunmei Su
We consider the nonlinear Schr{ö}dinger equation with a defocusing nonlinearity which is mass-(super)critical and energy-subcritical. We prove uniform in time error estimates for t…
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential
Rémi Carles, Chunmei Su
We consider the Schr{ö}dinger equation with a nondispersive logarithmic nonlinearity and a repulsive harmonic potential. For a suitable range of the coefficients, there exist two p…
Various variational approximations of quantum dynamics
Caroline Lasser, Chunmei Su
We investigate variational principles for the approximation of quantum dynamics that apply for approximation manifolds that do not have complex linear tangent spaces. The first one…
Error estimates of local energy regularization for the logarithmic Schrodinger equation
Weizhu Bao, Remi Carles, Chunmei Su +1
The logarithmic nonlinearity has been used in many partial differential equations (PDEs) for modeling problems in various applications.Due to the singularity of the logarithmic fun…
Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity
Weizhu Bao, Yue Feng, Chunmei Su
We establish uniform error bounds of time-splitting Fourier pseudospectral (TSFP) methods for the nonlinear Klein--Gordon equation (NKGE) with weak power-type nonlinearity and $O(1…
A Deuflhard-type exponential integrator Fourier pseudospectral method for the "Good" Boussinesq equation
Chunmei Su, Wenqi Yao
We propose an exponential integrator Fourier pseudospectral method DEI-FP for solving the "Good" Boussinesq (GB) equation. The numerical scheme is based on a Deuflhard-type exponen…
A uniformly and optimally accurate method for the Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime
Chunmei Su, Xiaofei Zhao
We present a uniformly and optimally accurate numerical method for solving the Klein-Gordon-Zakharov (KGZ) system with two dimensionless parameters and , which…
Two exponential-type integrators for the "good" Boussinesq equation
Alexander Ostermann, Chunmei Su
We introduce two exponential-type integrators for the "good" Bousinessq equation. They are of orders one and two, respectively, and they require lower regularity of the solution co…
Regularized numerical methods for the logarithmic Schrodinger equation
Weizhu Bao, Rémi Carles, Chunmei Su +1
We present and analyze two numerical methods for the logarithmic Schr{ö}dinger equation (LogSE) consisting of a regularized splitting method and a regularized conservative Crank-Ni…
A Lawson-type exponential integrator for the Korteweg-de Vries equation
Alexander Ostermann, Chunmei Su
We propose an explicit numerical method for the periodic Korteweg-de Vries equation. Our method is based on a Lawson-type exponential integrator for time integration and the Rusano…
Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation
Weizhu Bao, Remi Carles, Chunmei Su +1
We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its error bound. Due to the blow-up of the logarithmic nonlinearity…
A Meshing Strategy for a Quadratic Iso-parametric FEM in Cavitation Computation in Nonlinear Elasticity
Chunmei Su, Zhiping Li
The approximation properties of a quadratic iso-parametric finite element method for a typical cavitation problem in nonlinear elasticity are analyzed. More precisely, (1) the fini…
Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime
Weizhu Bao, Chunmei Su
We establish uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system (KGZ) with a dimensionless parameter , which is inversel…
Orientation-Preservation Conditions on an Iso-parametric FEM in Cavitation Computation
Chunmei Su, Zhiping Li
The orientation-preservation condition, i.e., the Jacobian determinant of the deformation gradient is required to be positive, is a natural physical constraint in e…
Uniform error bounds of a finite difference method for the Zakharov system in the subsonic limit regime via an asymptotic consistent formulation
Weizhu Bao, Chunmei Su
We present a uniformly accurate finite difference method and establish rigorously its uniform error bounds for the Zakharov system (ZS) with a dimensionless parameter $0<\varepsilo…