Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Efficient block predictor-corrector methods with a small number of corrections
Journal of Computational and Applied Mathematics - Special issue on numerical methods for ordinary differential equations
Twostep-by-twostep PIRK-type PC methods with continuous output formulas
Journal of Computational and Applied Mathematics
A direct variable step block multistep method for solving general third-order ODEs
Numerical Algorithms
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A new four-point implicit block multistep method is developed for solving systems of first-order ordinary differential equations with variable step size. The method computes the numerical solution at four equally spaced points simultaneously. The stability of the proposed method is investigated. The Gauss-Seidel approach is used for the implementation of the proposed method in the PE(CE)^m mode. The method is presented in a simple form of Adams type and all coefficients are stored in the code in order to avoid the calculation of divided difference and integration coefficients. Numerical examples are given to illustrate the efficiency of the proposed method.