Nonlinear Partial Differential Equations and Related Problems of Pade Approximations.
Progress rept. 30 Jun 82-29 Jun 83,
COLUMBIA UNIV NEW YORK DEPT OF MATHEMATICS
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During the period of the grant the investigators continued their studies of one-four dimensional classical and quantum lattice and continuous completely integrable systems. Their technique is based on the method of Backlund transformations and their algebraic, geometric and arithmetic properties. Methods of Backlund transformations were successfully used in the study of Pade approximations. One of the significant achievements during the last year was the solution of the key problem on the almost perfectness of Pade approximations to solutions of linear differential equations. Author
- Numerical Mathematics