Analysis and Optimization of an Adaptive Interpolation Algorithm for the Numerical Solution of a System of Ordinary Differential Equations with Interval Parameters

Differential Equations ◽

10.1134/s0012266120070125 ◽

2020 ◽

Vol 56 (7) ◽

pp. 935-949

Author(s):

A. Yu. Morozov ◽

A. A. Zhuravlev ◽

D. L. Reviznikov

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Interpolation Algorithm ◽

Interval Parameters ◽

Adaptive Interpolation

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Adaptive Interpolation Algorithm Based on a kd-Tree for Numerical Integration of Systems of Ordinary Differential Equations with Interval Initial Conditions

Differential Equations ◽

10.1134/s0012266118070121 ◽

2018 ◽

Vol 54 (7) ◽

pp. 945-956 ◽

Author(s):

A. Yu. Morozov ◽

D. L. Reviznikov

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Initial Conditions ◽

Interpolation Algorithm ◽

Adaptive Interpolation

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Adaptive Interpolation Algorithm on Sparse Meshes for Numerical Integration of Systems of Ordinary Differential Equations with Interval Uncertainties

Differential Equations ◽

10.1134/s0012266121070107 ◽

2021 ◽

Vol 57 (7) ◽

pp. 947-958

Author(s):

A. Yu. Morozov ◽

D. L. Reviznikov

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Interpolation Algorithm ◽

Adaptive Interpolation ◽

Interval Uncertainties

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Using Interval Methods for the Numerical Solution of ODE'S (Ordinary Differential Equations).

10.21236/ada136373 ◽

1983 ◽

Author(s):

K. L. E. Nickel

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Interval Methods

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A Seventh Order Method fro the Numerical Solution of Ordinary Differential Equations

10.2172/1444282 ◽

1966 ◽

Author(s):

J. C. Butcher

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Order Method ◽

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On the numerical solution of an N-point boundary value problem for linear ordinary differential equations

Communications of the ACM ◽

10.1145/363831.364895 ◽

1965 ◽

Vol 8 (4) ◽

pp. 235-236

Author(s):

James T. Day

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Boundary Value ◽

Point Boundary ◽

Linear Ordinary Differential Equations

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The numerical solution of linear ordinary differential equations by feedforward neural networks

Mathematical and Computer Modelling ◽

10.1016/0895-7177(94)90095-7 ◽

1994 ◽

Vol 19 (12) ◽

pp. 1-25 ◽

Author(s):

A.J. Meade ◽

A.A. Fernandez

Keyword(s):

Neural Networks ◽

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Feedforward Neural Networks ◽

Linear Ordinary Differential Equations

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Numerical solution of stochastic ordinary differential equations using HAAR wavelet collocation method

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2021.1874085 ◽

2021 ◽

pp. 1-17

Author(s):

S. C. Shiralashetti ◽

Lata Lamani

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Collocation Method ◽

Haar Wavelet ◽

Wavelet Collocation Method ◽

Stochastic Ordinary Differential Equations

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An SVE Approach for the Numerical Solution of Ordinary Differential Equations

Lecture Notes in Computer Science - Numerical Computations: Theory and Algorithms ◽

10.1007/978-3-030-39081-5_8 ◽

2020 ◽

pp. 70-85

Author(s):

Nadaniela Egidi ◽

Pierluigi Maponi

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations

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Numerical Solution of Ordinary Diﬀerential Equations

Numerical Methods for Engineers ◽

10.1201/9781420010244-10 ◽

2006 ◽

pp. 329-404

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations

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Numerical Solution to Singular Ordinary Differential Equations of Lane-Emden type by Legendre collocation method

Proceedings of the 3rd International Conference on Material Engineering and Application (ICMEA 2016) ◽

10.2991/icmea-16.2016.83 ◽

2016 ◽

Author(s):

T. G. Zhao ◽

Y. Wu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Collocation Method ◽

Legendre Collocation Method

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