Special Issue "New Trends in Applications of Orthogonal Polynomials and Special Functions"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 January 2016).
Interests: numerical analysis, scientific computing, spectral methods
Interests: fractional sturm-liouville problems, high-order methods for fractional PDEs, scientific computing
Orthogonal polynomials and special functions play an important role in developing numerical and analytical methods in mathematics, physics, and engineering. Over the past decades, this area of research has received an ever-increasing attention and has gained a growing momentum in modern topics, such as computational probability, numerical analysis, computational fluid dynamics, data assimilation, statistics, image and signal processing etc.
Orthogonal polynomials are crucial to the stability of high-order numerical methods, such as hp/spectral-element methods for ordinary and partial differential equations and fast Fourier or wavelet transformations in signal processing. These high-order numerical methods, originally formulated for partial differential equations, have been extended to integral, integro-differential equations, stochastic differential equations, and yet, these methods have not been well understood in various fields. The study of orthogonal polynomials and corresponding numerical methods helps us deepen our understanding of these more general mathematical models that can capture non-Gaussian, non-Markovian, and non-Newtonian phenomenon.
The purpose of this special issue is to report and review the recent developments in applications of orthogonal polynomials and special functions as numerical and analytical methods. This special issue of Mathematics will contain contributions from leading experts in areas ranging from mathematical modeling, high-order numerical methods for differential, integral and integro-differential equations, stochastic differential equations, statistics, information and communication sciences and beyond.
The guest editors aim that the papers in this special issue will help understand the state-of-art high-order methods for models of complex systems and boost in-depth insights and discussion in a wide research community of related topics.
Dr. Zhongqiang Zhang
Dr. Mohsen Zayernouri
Manuscript Submission Information
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- orthogonal functions,
- nonlocal problems,
- integral transforms,
- fractional differential equations,
- high-order numerical methods,
- stochastic dynamics