TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304.
Citation: TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304.

Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation

  • Received Date: 2004-11-23
  • Rev Recd Date: 2005-11-18
  • Publish Date: 2006-03-15
  • Energy conservation of non-linear Schrêdinger ordinary differential equation was proved through using ordinary differential equation's continuous finite element methods;Energy integration conservation was proved through using space-time all continuous fully discrete finite element methods and electron nearly conservation with higher order error through using time discontinuous only space continuos finite element methods of non-linear Schrêdinger partial equation.The numerical results are in accordance with the theory.
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