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On the stability of semi-implicit methods for ordinary differential equations

E. Hairer, G. Bader, Ch. Lubich

BIT Numerical Mathematics · 1982 · 54 citations · 9 references

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References

9

Some general implicit processes for the numerical solution of differential equations

H.H. Rosenbrock · The Computer Journal · 1963 · 581 citations · Full text

, , +13

A Hilbert Space Problem Book.

Peter Fillmore, Nigel Higson, Paul R. Halmos · American Mathematical Monthly · 1984 · 344 citations

, , +7

Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations

Peter Kaps, P. Rentrop · Numerische Mathematik · 1979 · 320 citations

, , +14

Stability Criteria for Implicit Runge–Kutta Methods

Kevin Burrage, J. C. Butcher · SIAM Journal on Numerical Analysis · 1979 · 299 citations

, , +12

Order stars and stability theorems

Gerhard Wanner, Ernst Hairer, Syvert P. Nørsett · BIT Numerical Mathematics · 1978 · 245 citations · Full text

, , +7