Results 21 to 30 of about 31,508 (275)
Resolution-Optimal Exponential and Double-Exponential Transform Methods for Functions with Endpoint Singularities [PDF]
SIAM Journal on Scientific Computing, 2017 We introduce a numerical method for the approximation of functions which are analytic on compact intervals, except at the endpoints. This method is based on variable transforms using particular parametrized exponential and double-exponential mappings, in combination with Fourier-like approximation in a truncated domain.
Ben Adcock +2 more
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Fractal and Fractional, 2023 This paper examines the propagation of M-shape solitons and their interactions with kink waves to the (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying the symbolic computation with ansatz functions technique and ...
Sarfaraz Ahmed +3 more
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Axioms, 2021 The Gerdjikov–Ivanov (GI) equation is one type of derivative nonlinear Schrödinger equation used widely in quantum field theory, nonlinear optics, weakly nonlinear dispersion water waves and other fields.
Huanhe Dong +4 more
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Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method
Advances in Difference Equations, 2020 In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation.
Yanying Ma, Hu Li, Suping Zhang
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Open Physics, 2021 The symbolic computation with the ansatz function and the logarithmic transformation method are used to obtain a formula for certain exact solutions of the (3+1)\left(3+1) Zakharov–Kuznetsov (Z–K) equation. We use homoclinic breather, three waves method,
El-Rashidy Khaled +3 more
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A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function [PDF]
Symmetry, 2021 The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.
Robert Reynolds 0003, Allan Stauffer
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Generalized multi-channel scheme for secure image encryption
Scientific Reports, 2021 The ability of metamaterials to manipulate optical waves in both the spatial and spectral domains has provided new opportunities for image encoding. Combined with the recent advances in hyperspectral imaging, this suggests exciting new possibilities for ...
Romil Audhkhasi, Michelle L. Povinelli
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Results in Physics, 2020 The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method.
K. El-Rashidy +3 more
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Analytic Combinatorics of the Mabinogion Urn [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The Mabinogion urn is a simple model of the spread of influences amongst versatile populations. It corresponds to a non-standard urn with balls of two colours: each time a ball is drawn, it causes a ball of the other kind to switch its colour.
Philippe Flajolet, Thierry Huillet
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Digital in-line holography assessment for general phase and opaque particle [PDF]
Journal of the European Optical Society-Rapid Publications, 2014 We propose using the circle polynomials to describe a particle’s transmission function in a digital holography setup. This allows both opaque and phase particles to be determined.
Coëtmellec S. +5 more
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