2 citations · 8 across the 9 of their papers we have counts for
11 papers
The skew generalized von Neumann-Jordan type constant in Banach spaces
Yuxin Wang, Qi Liu, Yueyue Feng +2
Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp(λ,μ,X) based on C(X) constant is given in this paper. First, we wi…
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine--Gordon equation
Yue Feng, Katharina Schratz
We establish the improved uniform error bounds on a Lawson-type exponential integrator Fourier pseudospectral (LEI-FP) method for the long-time dynamics of sine-Gordon equation whe…
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity
Weizhu Bao, Yue Feng, Ying Ma
We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie-Trotter time-spli…
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation
Weizhu Bao, Yongyong Cai, Feng Yue
Improved uniform error bounds on time-splitting methods are rigorously proven for the long-time dynamics of the weakly nonlinear Dirac equation (NLDE), where the nonlinearity stren…
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein--Gordon equation with weak nonlinearity
Weizhu Bao, Yongyong Cai, Yue Feng
We establish improved uniform error bounds on time-splitting methods for the long-time dynamics of the nonlinear Klein--Gordon equation (NKGE) with weak cubic nonlinearity, whose s…
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Yue Feng, Ying Ma
We establish the error bounds of fourth-order compact finite difference (4cFD) methods for the Dirac equation in the massless and nonrelativistic regime, which involves a small dim…