
doi: 10.2307/2008492
This is the supplement to the authors' paper [ibid. 52, No.186, 299-319 (1989; reviewed above)] providing the detailed proofs of the results on consistency, error estimates, convergence and starting schemes. Some remarks on the validity of certain hypotheses are also given in an appendix.
convergence, consistency, supplement, stability, Galerkin type discretization in space, Error bounds for initial value and initial-boundary value problems involving PDEs, rational approximations of the cosine function, error estimates, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, cosine methods, fourth-order two- step schemes in time, Second-order nonlinear hyperbolic equations
convergence, consistency, supplement, stability, Galerkin type discretization in space, Error bounds for initial value and initial-boundary value problems involving PDEs, rational approximations of the cosine function, error estimates, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, cosine methods, fourth-order two- step schemes in time, Second-order nonlinear hyperbolic equations
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