Titlebook: Numerical Solution of Partial Differential Equations: Theory, Tools and Case Studies; Summer Seminar Serie D. P. Laurie Book 1983 Springer

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Basic Principles of Discretization Methods,sed form, but such solutions can be obtained only in quite simple cases (e.g. equations with constant coefficients over regularly shaped regions), and moreover the ‘closed form’ often involves such troublesome objects as indefinite integrals, infinite series and special functions. Infinity is not to be disposed of lightly.

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Solution of Large Systems of Linear Equations,computers by brute force. However, practical problems in three dimensions can easily lead to (say) 100 000 equations in as many unknowns. On even the biggest computer planned to exist the solution of such a system of equations is utterly out of the question unless some simplifying features are present of which advantage may be taken.

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