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- W2785367794 abstract "In this paper we derive and analyse new and efficient energy-preserving exponential integrators of arbitrarily high order to solve the cubic Schr{o}dinger Cauchy problem on a $d$-dimensional torus. Energy preservation is a key feature of the cubic Schr{o}dinger equation. It is proved that the novel integrators can be of arbitrarily high order which exactly preserve the continuous energy of the original continuous system. The existence and uniqueness, regularity, global convergence, nonlinear stability of the new integrators are studied in detail. One of the new energy-preserving exponential integrators is constructed and two numerical experiments are included. The numerical results illustrate the efficiency of the new integrator in comparison with existing numerical methods in the literature." @default.
- W2785367794 created "2018-02-23" @default.
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- W2785367794 date "2018-02-08" @default.
- W2785367794 modified "2023-10-16" @default.
- W2785367794 title "Arbitrary-order energy-preserving exponential integrators for the cubic Schr{o}dinger equation" @default.
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