BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-78-655 ENTRY:: June 22, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: On accuracy and unconditional stability of linear multistep methods for second order differential equations TYPE:: Technical Report AUTHOR:: Dahlquist, Germund DATE:: April 1978 PAGES:: 14 ABSTRACT:: Linear multistep methods for the solution of the equation y" = f(t,y) are studied by means of the test equation y" = -$\omega^2$y, with $\omega$ real. It is shown that the order of accuracy cannot exceed 2 for an unconditionally stable method. NOTES:: [Adminitrivia V1/Prg/19950622] END:: STAN//CS-TR-78-655