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accuracy Akad algebra algorithm amplitude analogue applied approximation arbitrary assume assumptions asymptotic boundary conditions boundary-value problems bounded calculations Cauchy problem coefficients computed consider constant construct convex corresponding Curr Cont defined denote derivatives determined difference scheme differential equations eigenvalues elements estimate exists finite flow formula function grid Headington Hill Hall inequality initial integral integral equations interpolation interval inverse Laplace transform Lemma Math Mathematical matrix method of successive Moscow Nauk SSSR Nauka nodes non-linear norm numerical methods numerical solution obtain operator optimal ordinary differential equations parameter Pergamon Pergamon Press polynomial Proof proved radiation rate of convergence respect right-hand side satisfied Schur form Section seminorm sequence solitons solution of Eq solution of problem solving space splines stability step subsystem successive iterations supernode surface symmetry group Theorem transform unique values variable vector velocity vychisL Mat zero