简介:Inthispaper,forgenerallinearmethodsappliedtostrictlydissipativeinitialvalueprobleminHilbertspaces,weprovethatalgebraicstabilityimpliesB-convergence,whichextendsandimprovestheexistingresultsonRunge-Kuttamethods.Specializingourresultsforthecaseofmulti-stepRunge-Kuttamethods,aseriesofB-convergenceresultsareobtained.