Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Journal of Computational and Applied Mathematics
A P-stable eighth-order method for the numerical integration of periodic initial-value problems
Journal of Computational Physics
P-stable exponentially fitted methods for the numerical integration of the Schrödinger equation
Journal of Computational Physics
Stiff differential equations solved by Radau methods
Proceedings of the on Numerical methods for differential equations
A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation
Applied Mathematics and Computation
Symbolic derivation of order conditions for hybrid Numerov-type methods solving y˝=f(x,y)
Journal of Computational and Applied Mathematics
An embedded 5(4) pair of explicit hybrid methods for solving oscillatory problems
ACC'11/MMACTEE'11 Proceedings of the 13th IASME/WSEAS international conference on Mathematical Methods and Computational Techniques in Electrical Engineering conference on Applied Computing
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We present an implicit hybrid two step method for the solution of second order initial value problem. It costs only six function evaluations per step and attains eighth algebraic order. The method satisfy the P-stability property requiring one stage less. We conclude dealing with implementation issues for the methods of this type and give some first pleasant results from numerical tests.