Abstract
This chapter presents a calculation of normal modes of oceans using a Lanczos method. There are several numerical methods available for the solution of large, sparse, symmetric Eigen problems. Among these are the power method, relaxation, and the method of Lanczos. The first two of these determine only extreme eigenvalues. The reported use of the Lanczos method has been limited to extreme values although its usefulness may include certain cases where interior values are desired. The chapter describes a model of 675 six-degree squares covering the North and South Atlantic and Indian Oceans. It also highlights the operator derived from Laplace's tidal equations along with its discretization corresponding to the finite grid. The chapter reviews Lanczos method for determining eigenvalues. It explains the difficulties associated with interior eigenvalues.
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