supported by the NNSFC(No.11001009);supported by the Director Foundation of GUCAS,the NNSFC(No.11071251);supported by the Foundation of CAS and the NNSFC(No.11021101,No.91130003).
In this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations,and develop a stochastic multisymplectic method for numerically solving a kind of stochas...
Jialin Hong is supported by the Director Innovation Foundation of ICMSEC and AMSS,the Foundation of CAS,the NNSFC(Nos.19971089,10371128 and 60771054);the Special Funds for Major State Basic Research Projects of China 2005CB321701;Linghua Kong is supported by the NSFC(No.10901074);the Provincial Natural Science Foundation of Jiangxi(No.2008GQS0054);the Foundation of Department of Education of Jiangxi Province(No.GJJ09147);the Young Growth Foundation of Jiangxi Normal University(No.2390);the Doctor Foundation of Jiangxi Normal University(No.2057);State Key Laboratory of Scientific and Engineering Computing,CAS.
The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplecticFourier spectral (MSFS) methods will be employed to solve the fourth-orderSchrodinger equations with trapped term. Using the idea of split-step numer...