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Q3998837 - MaRDI portal

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    17 September 1992
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    functional analytic approach to some problems and methods of numerical analysis
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    approximation problems
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    Functional spaces
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    Banach contraction principle
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    Newton type methods for solving nonlinear equations
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    Linear operators and functionals
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    uniform boundedness principle
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    Lagrange interpolation processes
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    Fourier series
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    compact operators
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    embedding theorems for Sobolev spaces
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    Vishik-Lax-Milgram variational theorem
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    generalized solutions for elliptic PDE
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    Iterative methods for solving linear operator equations
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    one-step and multi-step iterative methods of Chebyshev and Newton type for operator equations
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