Alternating Direction Methods for Hyperbolic Differential Equations

作者： Milton Lees

关键词: Wave equation 、 Mathematics 、 Differential equation 、 First-order partial differential equation 、 Partial differential equation 、 Von Neumann architecture 、 Hyperbolic partial differential equation 、 Mathematical analysis 、 Boundary value problem

摘要: 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 numerical solution of boundary value problems one-dimensional wave ∂^2w/∂t^2 ∂^2w/∂x^2.