Titlebook: Error-Correction Coding for Digital Communications; George C. Clark,J. Bibb Cain Book 1981 Springer Science+Business Media New York 1981 C

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Exponentially stable approximations of weakly damped wave equations,l stability are presented. Several schemes for which preservation can be guaranteed are analyzed. Numerical results that demonstrate the lack of stability under approximation for several popular schemes (including standard finite difference and finite element schemes) are given.