Approximation Theory
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- Padé approximants
- Rational interpolation of analytic functions
- Matrix orthogonal polynomials
- Multiple orthogonal polynomials
- Spectral transformations
Differential Equations
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- Reaction-diffusion equations
- Topological methods in ordinary and partial differential equations
- Analytical and numerical continuation and bifurcation methods
- Sturm-Liouville problems
- Differential equations on graphs
Applications
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- Quadrature formulas
- Integrable systems
- Mathematical modeling in ecology, epidemiology and medicine
- Evolutionary computation
- Properties of uniform spaces
- Extension of real-valued functions
- Realcompactifications
