Concepedia

Midpoint Rule

The Midpoint Rule is a Riemann sum method that approximates the definite integral of a function by evaluating the function at the midpoint of each subinterval and multiplying by the subinterval width, distinguishing it from other Riemann sum techniques by its specific choice of sample points.

142

Publications

6.1K

Citations

256

Authors

171

Institutions

Publications per year

2017–2026

41

Parents

Publications

142

Accuracy and stability of integration algorithms for elastoplastic constitutive relations

M. Ortíz, Egor P. Popov · International Journal for Numerical Methods in Engineering · 1985 · 644 citations

, , +14

Midpoints versus endpoints: The sacrifices and benefits

Jane Bare, Patrick Hofstetter, David Pennington et al. · The International Journal of Life Cycle Assessment · 2000 · 536 citations · Full text

, , +4

Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

U.S. Kirmaci · Applied Mathematics and Computation · 2003 · 328 citations

, , +9

On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

U.S. Kirmaci · Applied Mathematics and Computation · 2003 · 271 citations

, , +8

Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping

Sundararajan Natarajan, Stéphane Bordas, D. Roy Mahapatra · International Journal for Numerical Methods in Engineering · 2009 · 187 citations · Full text

, , +10

1–5 of 142

Authors

256

  1. HB
    Hüseyin Budak

    Düzce Üniversitesi, Türkiye

    7 publications · 147 citations

    7

    h-index

  2. İI
    İmdat Işcan

    Giresun University, Türkiye

    4 publications · 64 citations

    4

    h-index

  3. NS
    Naseer Shahzad

    King Abdulaziz University, Saudi Arabia

    3 publications · 170 citations

    3

    h-index

  4. SS
    Sever S Dragomir

    Victoria University, Australia

    3 publications · 77 citations

    3

    h-index

  5. LF
    L. F. Shampine

    Southern Methodist University, United States

    3 publications · 47 citations

    3

    h-index

1–5 of 256

Institutions

171

  1. Düzce Üniversitesi

    Düzce, Türkiye

    7 h-index

    16 publications

    271 citations

  2. King Abdulaziz University

    Jeddah, Saudi Arabia

    4 h-index

    10 publications

    535 citations

  3. China Medical University

    Taichung, Taiwan

    3 h-index

    3 publications

    107 citations

  4. Giresun University

    Giresun, Türkiye

    3 h-index

    5 publications

    94 citations

  5. University of Maryland, College Park

    College Park, United States

    3 h-index

    3 publications

    173 citations

  6. King Mongkut's University of Technology North Bangkok

    Bangkok, Thailand

    3 h-index

    5 publications

    84 citations

  7. University of Milan

    Milan, Italy

    2 h-index

    2 publications

    74 citations

  8. Université de Pau et des Pays de l'Adour

    Pau, France

    2 h-index

    2 publications

    82 citations

1–8 of 171

Venues

  1. 11

    h-index

  2. SIAM Journal on Numerical Analysis

    7 publications · 357 citations

    7

    h-index

  3. Mathematics of Computation

    MCOM · 7 publications · 195 citations

    7

    h-index

  4. Filomat

    3 publications · 62 citations

    3

    h-index

  5. Fixed Point Theory and Applications

    3 publications · 170 citations

    3

    h-index

1–5