Concepedia

Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type -- Part I: RK-methods

Kaspar Nipp, D. Stoffer

Numerische Mathematik · 1995 · 19 citations · 11 references

References

11

Solving ordinary differential equations I. nonstiff problems

Ernst Hairer, Gerhard Wanner · Mathematics and Computers in Simulation · 1987 · 4.1K citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +9

Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations

Peter E. Kloeden, Jens Lorenz · SIAM Journal on Numerical Analysis · 1986 · 129 citations

Natural Sciences, Mathematics, Complex Systems +16

On the Numerical Approximation of Phase Portraits Near Stationary Points

Wolf‐Jürgen Beyn · SIAM Journal on Numerical Analysis · 1987 · 99 citations · Full text

Natural Sciences, Physics, Computational Mechanics +16

Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations

Ernst Hairer, Ch. Lubich, M. Roche · BIT Numerical Mathematics · 1988 · 98 citations · Full text

Natural Sciences, Computational Engineering, Mathematics +16

On invariant closed curves for one-step methods

Wolf-J�rgen Beyn · Numerische Mathematik · 1987 · 73 citations · Full text

Computing, Computer Science, Mathematics +9