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)
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
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 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