Search Results - Gauss numerical integration algorithm

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  1. 1

    Method and Experimental Study of Voltage Measurement Based on Electric Field Integral With Gauss-Legendre Algorithm by Si, Diancheng, Wang, Jingang, Wei, Gang, Yan, Xiaojun

    ISSN: 0018-9456, 1557-9662
    Published: New York IEEE 01.06.2020
    “… Aiming at the above problems, the method that solves transmission wire voltage through spatial electric field integration based on D-dot sensor is proposed…”
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    Journal Article
  2. 2

    A Novel Optimized Gauss Integral for Transmission Line Voltage Measurement by Zhang, Jiaming, Tan, Zejie, Xu, Zhenheng, Liu, Zhong, Tian, Bing, Wang, Zhiming, Lv, Qiancheng, Luo, Bofeng, Liu, Xinting, Hu, Jun

    Published: IEEE 11.11.2022
    “… Therefore, this paper proposed a novel optimized Gauss integral for transmission line voltage measurement, which combines the Gauss integral method and genetic algorithm…”
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    Conference Proceeding
  3. 3

    Estimation of Soil Characteristic Parameters for Electric Mountain Tractor Based on Gauss–Newton Iteration Method by Xi, Zhiqiang, Feng, Tian, Liu, Zhijun, Xu, Huaijun, Zheng, Jingyang, Xu, Liyou

    ISSN: 2032-6653, 2032-6653
    Published: Basel MDPI AG 01.05.2024
    Published in World electric vehicle journal (01.05.2024)
    “…–soil interaction plays a critical role in rugged terrain mobility. In this paper, an algorithm for the estimation of soil characteristic parameters based on the Simpson numerical integration method and Gauss…”
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    Journal Article
  4. 4

    The GLO method: An efficient algorithm for time-dependent reliability analysis based on outcrossing rate by Zhang, Xuan-Yi, Lu, Zhao-Hui, Zhao, Yan-Gang, Li, Chun-Qing

    ISSN: 0167-4730, 1879-3355
    Published: Amsterdam Elsevier Ltd 01.07.2022
    Published in Structural safety (01.07.2022)
    “…), where the cumulative failure probability is calculated based on the numerical integration of outcrossing rate…”
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    Journal Article
  5. 5

    Legendre–Gauss collocation methods for ordinary differential equations by Guo, Ben-yu, Wang, Zhong-qing

    ISSN: 1019-7168, 1572-9044
    Published: Boston Springer US 01.04.2009
    Published in Advances in computational mathematics (01.04.2009)
    “…In this paper, we propose two efficient numerical integration processes for initial value problems of ordinary differential equations…”
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    Journal Article
  6. 6

    A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method by Liu, Qimao, Zhang, Jing, Yan, Liubin

    ISSN: 0997-7538, 1873-7285
    Published: Amsterdam Elsevier Masson SAS 01.05.2010
    Published in European journal of mechanics, A, Solids (01.05.2010)
    “… An efficient algorithm to calculate the dynamic responses and their first and second derivatives is formulated based on Gauss precise time step integration method…”
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    Journal Article
  7. 7

    Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity by Avitabile, Daniele, Bridges, Thomas J.

    ISSN: 0167-2789, 1872-8022
    Published: Amsterdam Elsevier B.V 15.06.2010
    Published in Physica. D (15.06.2010)
    “… For the numerical integration, Gauss–Legendre Runge–Kutta algorithms are the principal choice for preserving orthogonality, and performance results are shown for a range of GLRK methods. The theory and methods are tested by application to example boundary value problems including the Orr–Sommerfeld equation in hydrodynamic stability…”
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    Journal Article
  8. 8

    Geometric nonlinear modeling and active vibration suppression of a large flexible solar array by Li, Huadong, Luo, Haitao, Yang, Dong, Liu, Ziyang

    ISSN: 0263-8231
    Published: Elsevier Ltd 01.11.2025
    Published in Thin-walled structures (01.11.2025)
    “… Then, for the established nonlinear differential equations, Newmark-β method and Gauss–Legendre numerical integration algorithm…”
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    Journal Article
  9. 9

    Numerical integration-based algorithm for efficient actual navigation performance of airborne integrated navigation systems by Wang, Chonggeng, Zhong, Lunlong

    ISSN: 1948-9447
    Published: IEEE 25.05.2024
    Published in Chinese Control and Decision Conference (25.05.2024)
    “…Flight management system is one of the core technologies of avionics system for large civil aircraft. Among them, the integrated navigation system is the core…”
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    Conference Proceeding
  10. 10

    Implementation of Gauss-Jackson Integration for Orbit Propagation by Berry, Matthew M., Healy, Liam M.

    ISSN: 0021-9142, 2195-0571
    Published: New York Springer Nature B.V 01.09.2004
    Published in The Journal of the astronautical sciences (01.09.2004)
    “…The Gauss-Jackson multi-step predictor-corrector method is widely used in numerical integration problems for astrodynamics and dynamical astronomy. The U.S…”
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    Journal Article
  11. 11

    Optimization algorithms on matrix manifolds by Absil, P.A, Absil, P.A, Mahony,R, Sepulchre,R

    ISBN: 9780691132983, 0691132984, 1400830249, 9781400830244
    Published: Princeton Princeton University Press 2008
    “… This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms…”
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    eBook Book
  12. 12

    Calculation of ship motions in steep waves with restoring and Froude-Krylov forces on an adaptive panel mesh with Gauss and analytic integration methods by Wermbter, Malwin, Abdel-Maksoud, Moustafa

    ISSN: 1001-6058, 1878-0342
    Published: Singapore Springer Nature Singapore 01.04.2024
    Published in Journal of hydrodynamics. Series B (01.04.2024)
    “… In this paper, the restoring and Froude-Krylov calculation is conducted with constant evaluation of panel pressures as well as Gauss quadrature and an analytical integration…”
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    Journal Article
  13. 13

    Application of 2.5-D Finite Difference Method in Logging-While-Drilling Electromagnetic Measurements for Complex Scenarios by Wu, Zhenguan, Fan, Yiren, Wang, Jiawei, Zhang, Runren, Liu, Qing Huo

    ISSN: 1545-598X, 1558-0571
    Published: Piscataway IEEE 01.04.2020
    Published in IEEE geoscience and remote sensing letters (01.04.2020)
    “…). The efficiency of the IFT is further enhanced with a modified Gauss-Hermite (GHM) quadrature-based numerical integration scheme…”
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    Journal Article
  14. 14

    Adaptive event-triggered robust distributed filter for nonlinear systems with non-stationary heavy-tailed noise by Chen, Yu, Cai, Yuanli, Liu, Jiaqi, Deng, Yifan, Jiang, Haonan

    ISSN: 0960-0779
    Published: Elsevier Ltd 01.12.2025
    Published in Chaos, solitons and fractals (01.12.2025)
    “… Notably, to tackle the nonlinear integration challenge introduced by Student’s t-distribution weighting in the proposed algorithm, a new numerical integration method is proposed by combining cubature rule with Gauss…”
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    Journal Article
  15. 15

    Scavenging of aerosol particles by rain in a cloud resolving model by Berthet, S., Leriche, M., Pinty, J.-P., Cuesta, J., Pigeon, G.

    ISSN: 0169-8095, 1873-2895
    Published: Amsterdam Elsevier B.V 01.05.2010
    Published in Atmospheric research (01.05.2010)
    “… Here the numerical integration is performed accurately with a Gauss quadrature algorithm…”
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    Journal Article Conference Proceeding
  16. 16

    Symmetric and asymmetric Gauss and Gauss–Lobatto quadrature rules for triangles and their applications to high-order finite element analyses by Liu, Cuiyun, Liu, Bo

    ISSN: 0377-0427, 1879-1778
    Published: Elsevier B.V 01.02.2024
    “…Although symmetric Gauss quadrature rules have been studied extensively, the investigations of asymmetric Gauss quadrature rules and symmetric Gauss–Lobatto (GL…”
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    Journal Article
  17. 17

    Higher-order Newton-cotes and gauss-quadrature integration rules to solve carson and pollaczek integrals by Gutiérrez-Robles, J.A., Galván-Sánchez, V.A., Bañuelos-Cabral, E.S., Nuño-Ayón, J.J., Sotelo-Castañón, J., López de Alba, C.A.

    ISSN: 0378-7796
    Published: Elsevier B.V 01.02.2026
    Published in Electric power systems research (01.02.2026)
    “…•High-Order Numerical Integration for Carson and Pollaczek integrals up to order 33.•Sampling strategy of the variable parameters in Carson and Pollaczek integrals…”
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    Journal Article
  18. 18

    Quadrature Integration Techniques for Random Hyperbolic PDE Problems by Company, Rafael, Egorova, Vera N., Jódar, Lucas

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.01.2021
    Published in Mathematics (Basel) (01.01.2021)
    “… Here, we analyse different numerical methods around the inverse Laplace transform and its evaluation by using several integration techniques, including midpoint quadrature rule, Gauss…”
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    Journal Article
  19. 19

    Gauss–Christoffel quadrature for inverse regression: applications to computer experiments by Glaws, Andrew, Constantine, Paul G.

    ISSN: 0960-3174, 1573-1375
    Published: New York Springer US 01.05.2019
    Published in Statistics and computing (01.05.2019)
    “… We employ the well-known tools from numerical analysis—namely, multivariate numerical integration and orthogonal polynomials…”
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    Journal Article
  20. 20

    ON GAUSS—LOBATTO INTEGRATION ON THE TRIANGLE by XU, YUAN

    ISSN: 0036-1429, 1095-7170
    Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
    Published in SIAM journal on numerical analysis (01.01.2011)
    “…A recent result in [B. T. Helenbrook, SIAM J. Numer. Anal., 47 (2009), pp. 1304–1318] on the nonexistence of Gauss…”
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    Journal Article