Symmetric Triangle Quadrature Rules for Arbitrary Functions.

Freno, Brian; Johnson, William; Zinser, Brian; Wilton, Donald; Vipiana, Francesca; Campione, Salvatore

doi:10.1016/j.camwa.2019.12.021

Symmetric Triangle Quadrature Rules for Arbitrary Functions.

Conference · Tue Dec 31 23:00:00 EST 2019

DOI:https://doi.org/10.1016/j.camwa.2019.12.021· OSTI ID:1762571

Freno, Brian ^[1]; Johnson, William ^[1]; Zinser, Brian ^[1]; Wilton, Donald; Vipiana, Francesca; Campione, Salvatore ^[1]

SNL

Abstract not provided.

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

DOE Contract Number:: AC04-94AL85000

OSTI ID:: 1762571

Report Number(s):: SAND2020-0648PE; 682987

Country of Publication:: United States

Language:: English

References (12)

Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving Papanicolopulos, Stefanos-Aldo Computers & Mathematics with Applications, Vol. 69, Issue 7 https://doi.org/10.1016/j.camwa.2015.02.014	journal	April 2015
An Algorithm for Least-Squares Estimation of Nonlinear Parameters Marquardt, Donald W. Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2 https://doi.org/10.1137/0111030	journal	June 1963
A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions Xiao, Hong; Gimbutas, Zydrunas Computers & Mathematics with Applications, Vol. 59, Issue 2 https://doi.org/10.1016/j.camwa.2009.10.027	journal	January 2010
Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions Ma, J.; Rokhlin, V.; Wandzura, S. SIAM Journal on Numerical Analysis, Vol. 33, Issue 3 https://doi.org/10.1137/0733048	journal	June 1996
Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments Vipiana, Francesca; Wilton, Donald R.; Johnson, William A. IEEE Transactions on Antennas and Propagation, Vol. 61, Issue 11 https://doi.org/10.1109/tap.2013.2277864	journal	November 2013
Moderate Degree Symmetric Quadrature Rules for the Triangle Lyness, J. N.; Jespersen, D. IMA Journal of Applied Mathematics, Vol. 15, Issue 1 https://doi.org/10.1093/imamat/15.1.19	journal	January 1975
A method for the solution of certain non-linear problems in least squares Levenberg, Kenneth Quarterly of Applied Mathematics, Vol. 2, Issue 2 https://doi.org/10.1090/qam/10666	journal	January 1944
High degree efficient symmetrical Gaussian quadrature rules for the triangle Dunavant, D. A. International Journal for Numerical Methods in Engineering, Vol. 21, Issue 6 https://doi.org/10.1002/nme.1620210612	journal	June 1985
Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments Vipiana, Francesca; Wilton, Donald R.; Johnson, William A. IEEE Transactions on Antennas and Propagation, Vol. 61, Issue 11 https://doi.org/10.1109/TAP.2013.2277864	journal	November 2013
An Improved Transformation and Optimized Sampling Scheme for the Numerical Evaluation of Singular and Near-Singular Potentials Khayat, M. A.; Wilton, D. R.; Fink, P. W. IEEE Antennas and Wireless Propagation Letters, Vol. 7 https://doi.org/10.1109/LAWP.2008.928461	journal	January 2008
Generalized Gaussian quadrature rules on arbitrary polygons Mousavi, S. E.; Xiao, H.; Sukumar, N. International Journal for Numerical Methods in Engineering https://doi.org/10.1002/nme.2759	journal	January 2009
Symmetric quadrature rules on a triangle Wandzurat, S.; Xiao, H. Computers & Mathematics with Applications, Vol. 45, Issue 12 https://doi.org/10.1016/S0898-1221(03)90004-6	journal	June 2003

Similar Records

Symmetric Triangle Quadrature Rules for Arbitrary Functions.

Conference · Sun Jan 31 23:00:00 EST 2021 · OSTI ID:1847207

Symmetric Triangle Quadrature Rules for Arbitrary Functions.

Citation Formats

References (12)

Similar Records

Related Subjects