Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
SIAM Journal on Numerical Analysis
Growth factors of pivoting strategies associated with Neville elimination
Journal of Computational and Applied Mathematics
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We present BDF type formulas capable of the exact integration (with only round-off errors) of differential equations whose solutions are linear combinations of an exponential with parameter @l and ordinary polynomials. For @l=0 new formulas reduces to the classical BDF formulas. Plots of their 0-stability regions in terms of @l are provided. Plots of their regions absolute stability that include all the negative real axis are provided. Numerical examples shows the efficiency of the proposed codes, specially when we are integrating stiff oscillatory problems.