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Conditional uniform time stable numerical solutions of coupled hyperbolic systems
Institution:1. Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Spain;2. Departamento de Matemática, Universidad Tecnológica Metropolitana, Santiago, Chile
Abstract:This work deals with the uniform time stability of discrete numerical solutions of strongly coupled hyperbolic mixed problems. Using the Crank–Nicholson scheme and a Fourier discrete method the uniform time stability of the solution constructed is based on the spectral analysis of roots of the underlying algebraic matrix equation.
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