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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
William Menke
Kalman filtering (KF) is a popular form of data assimilation, especially in real-time applications. It combines observations with an equation that describes the dynamic evolution of a system to produce an estimate of its present-time state. Although KF does n…
Ziyou Zhuang, Jueyuan Yan, Xinyu Xie, Lihua Dai, Chaoyue Huang, Fangfang Chen, Hengguo Yu
In this paper, before the implementation of ecological laboratory experiments, the population interaction dynamics of an algae-fish system were studied mathematically and numerically. The purpose of this study was to explore how filter-feeding fish population…
Ramon Carbó-Dorca
A simple recursive algorithm to generate the set of natural numbers, based on Mersenne numbers: M N = 2 N – 1, is used to count the number of prime numbers within the precise Mersenne natural number intervals: [0; M N ]. This permits the formulation of an ext…
Md. Asraful Alom, Md. Bayezid Gazi, Imran Hossain, Eshita Kundu
Consider X and Y are two real or complex Banach spaces. We introduce and study a modified Gauss-type proximal point algorithm (in short modified G-PPA) for solving the generalized equations of the form 0 ∈ h ( x ) + H ( x ), where h : X → Y is a smooth…
Tan Si Do, 1 1
In order to obtain with simplicity the known and new properties of linear canonical transformations (LCTs), we show that any relation between a couple of operators ( A , B ) having commutator identical to unity, called dual couple in this work, is valuable fo…
Jan Vrbik
With the help of today’s computers, it is always relatively easy to find maximum-likelihood estimators of one or more parameters of any specific statistical distribution, and use these to construct the corresponding approximate confidence interval/region, fac…
K. S. Surana, J. K. Kendall
In this paper, we derive non-classical continuum theory for physics of compressible and incompressible thermoviscous non-classical fluent continua using the conservation and balance laws (CBL) by incorporating additional physics of internal rotation rates ari…
Lu Liu, Shan Zhang
This article is concerned with a strongly coupled elliptic system modeling the steady state of two or more populations that compete in some regions. We prove the uniqueness of the limiting configuration as the competing rate tends to infinity, under suitable…
Colin L. Defreitas, Steve J. Kane
This paper examines the performance of five algorithms for numerically inverting the Laplace transform, in standard, 16-digit and multi-precision environments. The algorithms are taken from three of the four main classes of numerical methods used to invert th…
Abdou Ganiou Débayo Atindehou
This paper investigates the fine structure of the Gabor frame generated by the B-spline B 3 . In other words, one extends the known part of the Gabor frame set for the 3-spline with the construction of the compactly supported dual windows. The frame set of th…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
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