Numerical Integration

Numerical Integration is a computational method within numerical analysis that approximates the definite integral of a function by summing weighted values of the function evaluated at specified points, distinguished from analytical integration by its reliance on discrete numerical techniques to solve integrals that may lack closed-form solutions.

10.8K

Publications

759.3K

Citations

13.1K

Authors

3.4K

Institutions

Publications per year

2017–2026

1.8K

Variants

Numerical Quadrature

Parents

Computational PhysicsFinite Element AnalysisFinite Element MethodsScientific ComputingStatistical Computing

Children

Adaptive QuadratureBoundary Integral QuadratureClenshaw-curtis QuadratureComposite QuadratureCubature FormulasDeterministic QuadratureElement Stiffness Matrix IntegrationFinite Element Numerical IntegrationGauss-chebyshev QuadratureGauss-hermite Quadrature

Publications

10.8K

Numerical recipes in C: the art of scientific computing

Choice Reviews Online · 1993 · 18.1K citations · Full text

Computing, Computer Science, Computational Physics +12

Numerical recipes in Pascal: the art of scientific computing

Choice Reviews Online · 1990 · 11.9K citations

Computing, Computer Science, Mathematics +10

<i>Numerical Recipes, The Art of Scientific Computing</i>

William H. Press, Brian P. Flannery, Saul A. Teukolsky et al. · American Journal of Physics · 1987 · 10.1K citations

Computing, Computer Science, Computational Physics +10

Table of Integrals, Series, and Products.

K. S. Kölbig, I. S. Gradshteyn, I.M. RYZHIK et al. · Mathematics of Computation · 1995 · 9.6K citations

Natural Sciences, Mathematics, Algebra +6

Table of Integrals, Series and Products.

Y. L., I. S. Gradshteyn, I. M. Ryzhik · Mathematics of Computation · 1981 · 8.6K citations

Natural Sciences, Mathematics, Time Series Analysis +7

1–5 of 10.8K

Authors

13.1K

TE
T. E. Simos
University of Peloponnese, Greece
55 publications · 3.1K citations
35
h-index
DB
Dumitru Bǎleanu
Çankaya University, Türkiye
71 publications · 5.3K citations
35
h-index
MD
Mehdi Dehghan
Amirkabir University of Technology, Iran
46 publications · 2.4K citations
29
h-index
IH
Ian H. Sloan
UNSW Sydney, Australia
44 publications · 3K citations
29
h-index
HB
Hermann Brunner
Memorial University of Newfoundland, Canada
46 publications · 2.5K citations
27
h-index

1–5 of 13.1K

Institutions

3.4K

1–8 of 3.4K

Venues

Mathematics of Computation
MCOM · 512 publications · 84.4K citations
91
h-index
Journal of Computational and Applied Mathematics
458 publications · 24.4K citations
71
h-index
SIAM Journal on Numerical Analysis
244 publications · 16.2K citations
69
h-index
Applied Mathematics and Computation
362 publications · 15.6K citations
66
h-index
Journal of Computational Physics
219 publications · 22.3K citations
61
h-index

1–5