Multivalue Collocation Methods for Ordinary and Fractional Differential Equations [PDF]
Mathematics, 2022 The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ...
Angelamaria Cardone +3 more
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Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs
Mathematics, 2021 In this paper, a new class of Runge–Kutta-type collocation methods for the numerical integration of ordinary differential equations (ODEs) is presented. Its derivation is based on the integral form of the differential equation.
Janez Urevc, Miroslav Halilovič
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A Chebyshev-Gauss collocation method for the numerical solution of ordinary differential equations [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 This paper presents a Chebyshev-Gauss collocation method to determine an approximate solution to the initial value problems of ordinary differential equations.
Kanyakorn Cheuprasert, Nairat Kanyamee
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Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review
Axioms, 2018 We present a collection of recent results on the numerical approximation of Volterra integral equations and integro-differential equations by means of collocation type methods, which are able to provide better balances between accuracy and stability ...
Angelamaria Cardone +3 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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Collocation Methods for Second Order Systems
Robotics: Science and Systems XVIII, 2022 Trabajo presentado en el Robotics: Science and Systems, celebrado en Nueva York (Estados Unidos), del 27 de junio al 1 de julio de ...
Moreno Martín, Siro +2 more
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A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 2021 The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma +5 more
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Collocation, semantic prosody and near synonymy: A cross-linguistic perspective. [PDF]
, 2006 This paper explores the collocational behaviour and semantic prosody of near synonyms from a cross-linguistic perspective. The importance of these concepts to language learning is well recognized.
Xiao, R. +7 more
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Highly stable multivalue collocation methods [PDF]
, 2020 The paper is focused on the development of A-stable collocation based multivalue methods for stiff problems. This methods are dense output extensions of discrete multivalue methods, since the solution is approximated by a piecewise collocation polynomial
Paternoster Beatrice +7 more
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Dynamic Optimization Using Local Collocation Methods and Improved Multiresolution Technique
Applied Sciences, 2018 Dynamic optimization has wide applications in scientific and industrial researches. Multiresolution techniques provide an efficient way to solve dynamic optimization problems but have some disadvantages. An improved multiresolution technique is developed
Jisong Zhao, Teng Shang
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