Introduction to computational mathematics. (Q2746423)

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scientific article; zbMATH DE number 1655950
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Introduction to computational mathematics.
scientific article; zbMATH DE number 1655950

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    10 October 2001
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    textbook
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    initial value problems
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    finite difference schemes
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    systems of linear and nonlinear algebraic equations
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    elliptic problems
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    boundary integral equations
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    boundary value problems
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    Introduction to computational mathematics. (English)
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    [For the first edition (1994) see Zbl 0857.65001.]NEWLINENEWLINENEWLINEThis book presents lecture notes of the author's one semester course on computational mathematics at the Moscow Physical-Technical Institute.NEWLINENEWLINENEWLINEIt contains the basic ideas of numuerical computations, methods of interpolation by algebraic and trigonometric functions and numerical integration. Numerical methods for the solution of systems of linear and nonlinear algebraic equations are also presented.NEWLINENEWLINENEWLINEFinite difference schemes for solutions of ordinary and partial differential equations are considered. Approximation of solutions with discontinuities, elliptic problems and boundary integral equations for numerical solutions of boundary value problems are also studied.NEWLINENEWLINENEWLINEThese lecture notes are a good introduction to the computational mathematics.
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