In this paper, we present error corrected Euler methods for solving stiff initial value problems, which not only avoid unnecessary iteration process that may be ...
Abstract: This paper investigates the numerical implementation of solving initial value problems (IVPs) using the Precise Integration Method (PIM). For the solution of IVPs, PIM employs a recursive ...
This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...
Abstract: Aiming at the nonlinear pursuit-evasion game problems of the spacecrafts, an improved Radau pseudo-spectral method whose initial values are pre-optimized by a hybrid optimization algorithm ...