Special Issue "Multivariate Approximation for solving ODE and PDE"
Deadline for manuscript submissions: closed (31 March 2020) | Viewed by 21273
A printed edition of this Special Issue is available here.
Interests: special functions; orthogonal polynomials; differential equations; operator theory; multivariate approximation theory; Lie algebra
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Topics: Engineering Mathematics
Multivariate approximation is an extension of approximation theory and approximation algorithms. In general, approximations can be provided via interpolation, as approximation/polynomials interpolation and approximation/interpolation with radial basis functions or, more in general, with kernel functions. In this Special Issue, we would like to cover the field of spectral problems, exponential integrators for ODE systems, and some applications for the numerical solution of evolutionary PDE, also discretized, by using the concepts and the related formalism of special functions and orthogonal polynomials, which represent a powerful tool to simplify computation. Since the theory of multivariate approximation meets different branches of mathematics and is applied in various areas such as physics, engineering, and computational mechanics, this Special Issue is open to a large community of researchers.
Prof. Clemente Cesarano
Manuscript Submission Information
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- Numerical methods
- Approximation theory
- Polynomial interpolation
- Spectral problems
- Evolution operators