|aIncludes bibliographical references (pages 287-297) and index.
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|a1. Introduction -- 2. Existence and uniqueness of smooth solutions -- 3. Estimates for smooth solutions -- 4. Extension of the solution operator -- 5. Measures as initial data -- 6. Asymptotic behavior for large time -- A. Some theorems from functional analysis -- 7. Introduction -- 8. Notation -- 9. Finite difference approximation to second-order boundary-value problems -- 10. From Hermitian derivative to the compact discrete biharmonic operator -- 11. Polynomial approach to the discrete biharmonic operator -- 12. Compact approximation of the Navier-Stokes equations in streamfunction formulation -- 13. Eigenfunction approach for uxxt -- uxxx = f(x, t) -- 14. Numerical simulations of the driven cavity problem.