
doi: 10.1137/0110046
The difference equation (1.1) u_(tt) = u_(xx) + η/k^2u_(xxtt) depending on the nonnegative parameter η, was introduced by von Neumann (cf. [1]) for the numerical solution of boundary value problems for the one-dimensional wave equation ∂^2w/∂t^2 = ∂^2w/∂x^2.
partial differential equations, 510
partial differential equations, 510
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