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- W2095375462 abstract "We study the effect of product approximation on the Galerkin solutions of the one-dimensional cubic Schrödinger equation. A Crank-Nicolson scheme is used to discretize in time. The paper describes two numerical experiments: in the first, we examine the approximation obtained by the standard Galerkin method and discuss the possibility of enforcing discrete analogs of the conservation laws satisfied by the exact solution; in the second experiment, numerical results obtained by the product approximation version of the Galerkin method are compared and the effectiveness of the method for different combinations of test and trial functions is also investigated." @default.
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- W2095375462 date "1988-05-01" @default.
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- W2095375462 title "An investigation into the effect of product approximation in the numerical solution of the cubic nonlinear schrödinger equation" @default.
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- W2095375462 doi "https://doi.org/10.1016/0021-9991(88)90133-7" @default.
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