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Article

Vitásek, Emil
$A$-stabilní metody libovolně vysokého řádu. (Czech) [$A$-stable methods of arbitrarily high order]. Pokroky matematiky, fyziky a astronomie, vol. 51 (2006), issue 1, pp. 61-68
MSC: 34A30, 65L04, 65L05, 65L20 | Zbl 1265.65143
Keywords:
stiff differential system; $A$-stability; selfstarting block method; initial value problem
References:
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[3] Butcher, J. C., Jackiewicz, Z.: Construction of high order diagonally implicit multistage integration methods for ordinary differential equations. Applied Numerical Mathematics 21 (1996), 385–415. DOI 10.1016/S0168-9274(96)00043-8 | MR 1423426
[4] Dahlquist, G.: A special stability problem for linear multistep methods. BIT 3 (1953), 27–43. DOI 10.1007/BF01963532 | MR 0170477
[5] Golub, H. G., Loan, Ch. F. van: Matrix Computations. John Hopkins University Press, Baltimore 1989. MR 1002570
[6] Lambert, J. D.: Numerical methods for ordinary differential systems. John Wiley & Sons, London 1991. MR 1127425 | Zbl 0745.65049
[7] Práger, M., Taufer, J., Vitásek, E.: Overimplicit multistep methods. Apl. Mat. 18 (1973), 399–421. MR 0366041
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