Search Results - Gauss numerical integration algorithm

An Adaptive Numerical Integration Algorithm with Automatic Result Verification for Definite Integrals: An adaptive numerical integration algorithm with automatic result verification for definite integrals

Authors: Storck, Ulrike

Source: Computing. 65:271-280

Subject Terms: ddc:510, adaptive subdivision, verified computing, Gauss-Legendre quadrature, 02 engineering and technology, numerical results, 16. Peace & justice, Numerical quadrature and cubature formulas, 01 natural sciences, Approximate quadratures, adaptive algorithm, numerical integration, 0202 electrical engineering, electronic engineering, information engineering, Algorithms with automatic result verification, quadrature formula, 0101 mathematics, Mathematics

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/computing/computing65.html#Storck00
https://link.springer.com/content/pdf/10.1007/s006070070011.pdf
https://link.springer.com/article/10.1007%2Fs006070070011

Spherical Product Algorithms and the Integration of Smooth Functions with One Singular Point

Authors: Cools, Ronald Novak, Erich

Source: SIAM Journal on Numerical Analysis, 2002 Jan 01. 39(4), 1132-1145.

Access URL: https://www.jstor.org/stable/3061951

Research on transmission line voltage measurement method based on Gauss–Kronrod integral algorithm.

Authors: Wang, Jingang Li, Xiang Wang, Qian et al.

Source: Measurement Science & Technology; Aug2020, Vol. 31 Issue 8, p1-9, 9p

Subject Terms: ELECTRIC lines, ELECTRIC potential measurement, PATH integrals, NUMERICAL integration, INVERSE problems, POISSON'S equation, FEYNMAN integrals

Challenging the Curse of Dimensionality in Multidimensional Numerical Integration by Using a Low-Rank Tensor-Train Format

Authors: Boian Alexandrov Gianmarco Manzini Erik W. Skau et al.

Source: Mathematics, Vol 11, Iss 3, p 534 (2023)

Subject Terms: multidimensional numerical integration, highly-dimensional cubatures, Gauss-Legendre integration rule, Clenshaw-Curtis integration rule, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/11/3/534; https://doaj.org/toc/2227-7390; https://doaj.org/article/1983f35fc3704ec9aa0b3c4f9e5d097b

Availability: https://doi.org/10.3390/math11030534
https://doaj.org/article/1983f35fc3704ec9aa0b3c4f9e5d097b

On the numerical integration of two-particle functions for pair entropies of diatomic molecules

Authors: Solano-Altamirano, Juan Manuel

Source: Suplemento de la Revista Mexicana de Física; Vol. 6 No. 1 (2025): Suplemento de la Revista Mexicana de Física. Commemorating the 50th Anniversary of UAM: Applications of Information Theory in Natural Sciences; 011306 1-7 ; Revista Mexicana de Física; Vol. 6 Núm. 1 (2025): Suplemento de la Revista Mexicana de Física. Commemorating the 50th Anniversary of UAM: Applications of Information Theory in Natural Sciences; 011306 1-7 ; 2683-2585

Subject Terms: Information theory, Informational entropy, Pair entropy, Numerical integration, Diatomic molecule, Theoretical chemistry

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Relation: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/8001/7113

Availability: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/8001
https://doi.org/10.31349/SuplRevMexFis.6.011306

Numerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM

Authors: Sevilla Cárdenas, Rubén Fernández Méndez, Sonia Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental et al.

Contributors: Sevilla Cárdenas, Rubén Fernández Méndez, Sonia Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental et al.

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Numerical analysis, Computing Methodologies, Numerical integration, NURBS, NURBS-enhanced finite element method, Gauss–Legendre, Composite rule, Anàlisi numèrica, Informàtica, Classificació AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms, Classificació AMS::68 Computer science::68U Computing methodologies and applications

File Description: 12 p.; application/pdf

Relation: http://www.sciencedirect.com/science/article/pii/S0168874X1100117X; http://hdl.handle.net/2117/117187

Availability: http://hdl.handle.net/2117/117187
https://doi.org/10.1016/j.finel.2011.05.011

Porting of Finite Element Integration Algorithm to Xeon Phi Coprocessor-based HPC Architectures.

Authors: KRUŻEL, Filip BANAŚ, Krzysztof IACONO, Mauro

Source: Computer Assisted Methods in Engineering & Science; 2023, Vol. 30 Issue 4, p427-459, 33p

Subject Terms: COPROCESSORS, FINITE element method, HIGH performance computing, GRAPHICS processing units, ALGORITHMS

Computing rational Gauss-Chebyshev quadrature formulas with complex poles: the algorithm

Authors: Deckers, Karl Van Deun, Joris Bultheel, Adhemar

Source: ISSN:0965-9978 ; ISSN:1873-5339 ; Advances in Engineering Software, vol. 40 (8), Art.No. 8, (707-717.

Subject Terms: Science & Technology, Technology, Computer Science, Interdisciplinary Applications, Software Engineering, Engineering, Multidisciplinary, Quadrature formulas, Orthogonal rational functions, Complex poles, Algorithm, Numerical integration, Gauss-Chebyshev, MATRIX-VALUED FUNCTIONS, UNIT-CIRCLE, INTERVAL, 08 Information and Computing Sciences, 09 Engineering, Applied Mathematics, 40 Engineering, 46 Information and computing sciences

File Description: application/pdf

Relation: https://lirias.kuleuven.be/handle/123456789/207153; https://doi.org/10.1016/j.advengsoft.2008.11.011

Availability: https://lirias.kuleuven.be/handle/123456789/207153
https://lirias.kuleuven.be/retrieve/f0edbfb9-ab90-4fc1-8f66-089da0c1d2c7
https://doi.org/10.1016/j.advengsoft.2008.11.011

The numerical integration algorithm of dual bessel function and its application.

Authors: Li, Ming He, Wei Li, Qian et al.

Source: International Journal of Applied Electromagnetics & Mechanics. 2010, Vol. 33 Issue 1-2, p727-734. 8p.

Subject Terms: *NUMERICAL integration, *GENETIC algorithms, *BESSEL functions, *NUMERICAL solutions to integral equations, *HANKEL functions, *ELECTROMAGNETIC induction, *TOMOGRAPHY, *SIMULATION methods & models, *ELECTRIC potential

Method and Experimental Study of Voltage Measurement Based on Electric Field Integral With Gauss–Legendre Algorithm.

Authors: Si, Diancheng Wang, Jingang Wei, Gang et al.

Source: IEEE Transactions on Instrumentation & Measurement; Jun2020, Vol. 69 Issue 6, p2771-2778, 8p

Subject Terms: ELECTRIC field strength, ELECTRIC potential measurement, LINE integrals, ELECTRIC lines, PATH integrals, INVERSE scattering transform, FEYNMAN integrals

Additional Titles: Optimization of differential model parameters using evolutionary strategy and numerical integration

Authors: Itano, Shiro Sakanoue, Seiichi Ono, Honoka et al.

Index Terms: differential model, evolutionary strategy, numerical integration, optimization

URL: https://niigata-u.repo.nii.ac.jp/record/2000029/files/73_13-19.pdf
http://hdl.handle.net/10191/0002000029
https://niigata-u.repo.nii.ac.jp/records/2000029

An Algorithm for the Exact Numerical Integration of a Special Class of Functions.

Authors: Hasçelik, A. I.¹ hascelik@gantep.edu.tr

Source: International Journal of Computer Mathematics. Apr2002, Vol. 79 Issue 4, p485-494. 10p. 3 Charts.

Subject Terms: *Algorithms, Numerical integration, Hermite polynomials, Curve rectification & quadrature

Rigorous numerical integration of algebraic functions

Authors: Bruin, Nils Disney-Hogg, Linden Gao, Wuqian Effie

Index Terms: Mathematics - Number Theory, Mathematics - Numerical Analysis, 11Y16, 65D30, 14H55, 11G30, 30E10, text

URL: http://arxiv.org/abs/2208.12377

Quadrature Integration Techniques for Random Hyperbolic PDE Problems

Authors: Company Rossi, Rafael Jódar Sánchez, Lucas Antonio Egorova, Vera N. et al.

Contributors: Company Rossi, Rafael Jódar Sánchez, Lucas Antonio Egorova, Vera N. et al.

Subject Terms: Random Hyperbolic Model, Random Laplace Transform, Numerical Integration, Monte Carlo Method, Numerical Simulation, Talbot Algorithm, MATEMATICA APLICADA

File Description: application/pdf

Relation: Mathematics; info:eu-repo/grantAgreement/AEI//MTM2017-89664-P-AR//PROBLEMAS DINÁMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACIÓN MATEMÁTICA., ANÁLISIS, COMPUTACIÓN Y APLICACIONES/; https://doi.org/10.3390/math9020160; https://riunet.upv.es/handle/10251/180505

Availability: https://riunet.upv.es/handle/10251/180505
https://doi.org/10.3390/math9020160

Uncertainty analysis of electric field integral voltage measurement method for transmission line

Authors: YANG Jiaquan LUAN Siping ZHANG Xiran et al.

Source: Diance yu yibiao, Vol 62, Iss 10, Pp 216-224 (2025)

Subject Terms: electric field integral method, numerical integral, uncertainty estimation, voltage measurement, transient electric field simulation, Instruments and machines, QA71-90, Electrical engineering. Electronics. Nuclear engineering, TK1-9971, Science

File Description: electronic resource

Relation: http://www.emijournal.net/dcyyb/ch/reader/create_pdf.aspx?file_no=20230223001&flag=1&journal_id=dcyyb&year_id=2025; https://doaj.org/toc/1001-1390

Access URL: https://doaj.org/article/653a4eb0f49d47be81f8a52bd598ffa3

Gauss–Bessel quadrature: A tool for the evaluation of Barnett–Coulson/Löwdin functions.

Authors: Bouferguene, Ahmed Safouhi, Hassan

Source: International Journal of Quantum Chemistry; 2006, Vol. 106 Issue 11, p2398-2407, 10p, 1 Diagram, 1 Chart, 1 Graph

Subject Terms: GAUSSIAN quadrature formulas, NUMERICAL integration, ATOMIC orbitals, QUANTUM chemistry, INTEGRALS, ALGORITHMS

Numeričko integriranje ; Numerical integration

Authors: Kubat, Marina Perić, Jurica

Contributors: Kubat, Marina Perić, Jurica

Subject Terms: PRIRODNE ZNANOSTI. Matematika, NATURAL SCIENCES. Mathematics, Trapezna formula, Simpsonova formula, Peanova jezgra, Romberov algoritam, Richardsonova ekstrapolacija, Gauss-Legendreova formula, Trapezoidal rule, Simpson’s rule, the Peano kernel theorem, Romberg algorithm, Richardson extrapolation, Gauss-Legendre formula

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Relation: https://repozitorij.svkst.unist.hr/islandora/object/pmfst:527; https://urn.nsk.hr/urn:nbn:hr:166:431036; https://repozitorij.svkst.unist.hr/islandora/object/pmfst:527/datastream/PDF

Availability: https://repozitorij.svkst.unist.hr/islandora/object/pmfst:527
https://urn.nsk.hr/urn:nbn:hr:166:431036
https://repozitorij.svkst.unist.hr/islandora/object/pmfst:527/datastream/PDF

Application of the Cauchy integral approach to singular and highly oscillatory integrals.

Authors: Kayijuka, Idrissa Alfaqeih, Suliman Öziş, Turgut

Source: International Journal of Computer Mathematics. Oct2021, Vol. 98 Issue 10, p2097-2114. 18p.

Subject Terms: *Algorithms, Cauchy integrals, Line integrals, Integrals, Smoothness of functions, Singular integrals

People: Freud, Sigmund, 1856-1939

Suite of meshless algorithms for accurate computation of soft tissue deformation for surgical simulation.

Authors: Joldes, Grand Bourantas, George Zwick, Benjamin et al.

Source: Medical Image Analysis; Aug2019, Vol. 56, p152-171, 20p

Subject Terms: INTERPOLATION algorithms, FINITE element method, NUMERICAL integration, ALGORITHMS, INDIVIDUALIZED medicine, NONLINEAR equations, COMPUTER-assisted surgery

Integration of Polynomials Times Double Step Function in Quadrilateral Domains for XFEM Analysis

Authors: Sebastiano Fichera Gregorio Mariggiò Mauro Corrado et al.

Source: Algorithms, Vol 16, Iss 6, p 290 (2023)

Subject Terms: numerical integration, XFEM, polynomial functions, Heaviside step function, subdomain quadrature, Industrial engineering. Management engineering, T55.4-60.8, Electronic computers. Computer science, QA75.5-76.95

Relation: https://www.mdpi.com/1999-4893/16/6/290; https://doaj.org/toc/1999-4893; https://doaj.org/article/32821d8d03984071a3cde2144af13f54

Availability: https://doi.org/10.3390/a16060290
https://doaj.org/article/32821d8d03984071a3cde2144af13f54