Project supported by the National Natural Science Foundation of China(Nos.51878383 and51378293)。
A new type of Galerkin finite element for first-order initial-value problems(IVPs)is proposed.Both the trial and test functions employ the same m-degreed polynomials.The adjoint equation is used to eliminate one degre...
We briefly introduce the applications of the inverse scattering method to some particular class of problems,which yield the exact solution or long time asymptotics in terms of the unique solution of a matrix Riemann-H...