研究论文
A decoupled linear, mass- and energy-conserving relaxation-type high-order compact finite difference scheme for the nonlinear Schrödinger equation
Wen-Xue Zhou, Hongfei Fu, Shusen Xie
Ocean University of China
来源Applied Numerical Mathematics
年份2025
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工程Advanced Numerical Methods in Computational Mathematics
Numerical methods for differential equations · Computational Fluid Dynamics and Aerodynamics
参考文献 53
Semilinear Schrödinger Equations
被引 2,162Thierry Cazenave · Courant lecture notes in mathematics · 2003
Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media
被引 2,560Vladimir Evgen'evich Zakharov, Алексей Борисович Шабат · Journal of Experimental and Theoretical Physics · 1970
Mass preserving discontinuous Galerkin methods for Schrödinger equations
被引 41Wenying Lu, Yunqing Huang, Hailiang Liu · Journal of Computational Physics · 2014
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引用本文 3
Compact Finite Difference Schemes: A Review of Fundamentals, Applications, and Practical Implementation
被引 1Andrea Arroyo Ramo, J. Alberto Conejero, J. Pérez · Mathematics · 2026
Operator-level Chebyshev approximation of nonlinear wave equations with energy-norm error control
被引 0Prosper Torsu · Applied Numerical Mathematics · 2026
Nonlinear & linearized compact difference schemes and Richardson extrapolation for nonlinear delay Sobolev equations with second-order derivative
被引 0Kun Wang, Bo Wang · Mathematics and Computers in Simulation · 2026
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