Superb introduction to numerical methods for solving partial differential equations, boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book.
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This introduction differs from other elementary works on partial differential equations, in that almost half of the book is devoted to numerical methods for solving such equations, and in its emphasis on simultaneous consideration of the physical system, the continuous model, and the discrete model. Coverage begins with mathematical modeling and pa
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