Geodesic
Overimplicit multistep methods
Applications of Mathematics, Tome 18 (1973) no. 6, pp. 399-421

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The paper is concerned with the numerical solution of ordinary differential equations by a new class of methods called overimplicit multistep methods. The effort is devoted to the study of the convergence and $A$-stability of the introduced methods. $A$-stable formulae of arbitrarily high orders are shown to exist in this new class. This implies the efficiency of using these methods for stiff problems.
DOI : 10.21136/AM.1973.103497
Classification : 65J99, 65L05 
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     title = {Overimplicit multistep methods},
     journal = {Applications of Mathematics},
     pages = {399--421},
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Práger, Milan; Taufer, Jiří; Vitásek, Emil. Overimplicit multistep methods. Applications of Mathematics, Tome 18 (1973) no. 6, pp. 399-421. doi: 10.21136/AM.1973.103497

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