6 papers
Adjoint System in the Shooting Method to Solve Boundary Value Problems
Ernest Scheiber
The shooting method is used to solve a boundary value problem with separated and explicit constraints. To obtain approximations of an unknown initial values there are considered ar…
On the Variational Iteration Method for the Nonlinear Volterra Integral Equation
Ernest Scheiber
The variational iteration method is used to solve nonlinear Volterra integral equations. Two approaches are presented distinguished by the method to compute the Lagrange multiplier…
On Computing Jacobi's Elliptic Function \texttt{sn}
Ernest Scheiber
The paper presents a method to compute the Jacobi's elliptic function \texttt{sn} on the period parallelogram. For fixed it requires first to compute the complete elliptic inte…
On the numerical Picard iterations method with collocations for the IVP
Ernest Scheiber
Some variants of the numerical Picard iterations method are presented to solve an IVP for an ordinary differential system. The term numerical emphasizes that a numerical solution i…
On the Convergence of the Variational Iteration Method
Ernest Scheiber
Convergence results are stated for the variational iteration method applied to solve an initial value problem for a system of ordinary differential equations.
On the Chebyshev approximation of a function with two variables
Ernest Scheiber
There is presented an approach to find an approximation polynomial of a function with two variables based on the two dimensional discrete Fourier transform. The approximation polyn…