B-convergence: a survey

[1]  J. Schneid,et al.  B-Convergence of Lobatto IIIC formulas , 1987 .

[2]  R. Frank,et al.  B-convergence properties of defect correction methods. I , 1986 .

[3]  J. Kraaijevanger,et al.  B-convergence of the implicit midpoint rule and the trapezoidal rule , 1985 .

[4]  Christoph W. Ueberhuber,et al.  Stability Properties of Implicit Runge–Kutta Methods , 1985 .

[5]  Christoph W. Ueberhuber,et al.  Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems , 1985 .

[6]  Kees Dekker,et al.  A necessary condition forBSI-stability , 1985 .

[7]  J. Verwer,et al.  Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations , 1984 .

[8]  Kevin Burrage,et al.  Efficiently Implementable Algebraically Stable Runge–Kutta Methods , 1982 .

[9]  Christoph W. Ueberhuber,et al.  The Concept of B-Convergence , 1981 .

[10]  John C. Butcher,et al.  A Transformed implicit Runge-Kutta Method , 1979, JACM.

[11]  M. Crouzeix.  Sur laB-stabilité des méthodes de Runge-Kutta , 1979 .

[12]  K. Burrage,et al.  Stability Criteria for Implicit Runge–Kutta Methods , 1979 .

[13]  Kevin Burrage,et al.  A special family of Runge-Kutta methods for solving stiff differential equations , 1978 .

[14]  Christoph W. Ueberhuber,et al.  Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations , 1977 .

[15]  John C. Butcher,et al.  On the implementation of implicit Runge-Kutta methods , 1976 .

[16]  Gerhard Wanner,et al.  A short proof on nonlinearA-stability , 1976 .

[17]  John C. Butcher,et al.  A stability property of implicit Runge-Kutta methods , 1975 .

[18]  J. Butcher.  Integration processes based on Radau quadrature formulas , 1964 .

[19]  G. Dahlquist.  A special stability problem for linear multistep methods , 1963 .

[20]  P. Henrici.  Discrete Variable Methods in Ordinary Differential Equations , 1962 .

[21]  G. Dahlquist.  Stability and error bounds in the numerical integration of ordinary differential equations , 1961 .

[22]  K. Burrage,et al.  The order of B-convergence of algebraically stable Runge-Kutta methods , 1986 .

[23]  Willem Hundsdorfer,et al.  Stability and B-convergence of linearly implicit Runge-Kutta methods , 1985 .

[24]  E. Kamke.  Differentialgleichungen : Lösungsmethoden und Lösungen , 1977 .

[25]  A. Prothero,et al.  On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations , 1974 .

[26]  H. Stetter.  Analysis of Discretization Methods for Ordinary Differential Equations , 1973 .

[27]  J. Butcher.  Implicit Runge-Kutta processes , 1964 .