Discrete Approximations of Cosine Operator Functions. I
Copyright policy )Discrete Approximations of Cosine Operator Functions. I
Summary: We are concerned with the approximation of cosine operator functions which appear in a natural way in the study of the Cauchy problem for second order evolution equations. We derive both qualitative and quantitative convergence theorems characterizing the convergence of cosine operator functions in terms of their infinitesimal generators, and we discuss the impact of these results with respect to the approximate solution of the corresponding Cauchy problems.
- Universität Augsburg Germany
ddc:510, Cauchy problem, Banach space, convergence, second order evolution equations, Initial value problems for linear higher-order PDEs, Numerical methods for initial value problems involving ordinary differential equations, Higher-order parabolic equations, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, cosine operator functions, infinitesimal generators
ddc:510, Cauchy problem, Banach space, convergence, second order evolution equations, Initial value problems for linear higher-order PDEs, Numerical methods for initial value problems involving ordinary differential equations, Higher-order parabolic equations, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, cosine operator functions, infinitesimal generators
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