Concepedia

Unconditional and optimal H 2-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions

Ting-Chun Wang, Xiaofei Zhao, Jiaping Jiang

Advances in Computational Mathematics · 2017 · 53 citations · 29 references

DOI

Concepts

References

29

Dynamics of classical solitons (in non-integrable systems)

V.G. Makhankov · Physics Reports · 1978 · 591 citations

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The periodic wave solutions for the Klein–Gordon–Schrödinger equations

Mingliang Wang, Yubin Zhou · Physics Letters A · 2003 · 236 citations · Full text

, , +8

Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

Ting-Chun Wang, Boling Guo, Qiu-bin Xu · Journal of Computational Physics · 2013 · 197 citations

, , +14

Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

Weizhu Bao, Yongyong Cai · Mathematics of Computation · 2012 · 188 citations · Full text

, , +17

Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

Weizhu Bao, Yongyong Cai · SIAM Journal on Numerical Analysis · 2012 · 182 citations

, , +15