Concepedia

Numerical Integration Error Analysis

Numerical Integration Error Analysis is a systematic framework for quantifying and characterizing the deviation between exact and numerically computed integrals arising from the application of discrete approximation methods.

564

Publications

28.2K

Citations

967

Authors

518

Institutions

Publications per year

2017–2026

96

Parents

Publications

564

Detailed Error Analysis for a Fractional Adams Method

Kai Diethelm, Neville J. Ford, Alan D. Freed · Numerical Algorithms · 2004 · 1K citations

, , +14

Computing integrals involving the matrix exponential

Charles Van Loan · IEEE Transactions on Automatic Control · 1978 · 839 citations

, , +11

A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides

J. R. Cash, Alan H. Karp · ACM Transactions on Mathematical Software · 1990 · 772 citations · Full text

, , +17

Methods of Numerical Integration

L. B. Rall, Philip J. Davis, Philip D. Rabinowitz · Mathematics of Computation · 1976 · 769 citations

, , +10

High-dimensional integration: The quasi-Monte Carlo way

Josef Dick, Frances Y. Kuo, Ian H. Sloan · Acta Numerica · 2013 · 634 citations

, , +12

1–5 of 564

Authors

967

  1. FM
    Farshid Mirzaee

    Malayer University, Iran

    9 publications · 250 citations

    9

    h-index

  2. IH
    Ian H. Sloan

    UNSW Sydney, Australia

    8 publications · 1K citations

    8

    h-index

  3. PA
    Pouria Assari

    Bu-Ali Sina University, Iran

    6 publications · 133 citations

    6

    h-index

  4. SH
    Seymour Haber

    National Institute of Standards and Technology, United States

    6 publications · 385 citations

    6

    h-index

  5. JN
    J. N. Lyness

    Argonne National Laboratory, United States

    5 publications · 108 citations

    5

    h-index

1–5 of 967

Institutions

518

  1. UNSW Sydney

    Sydney, Australia

    10 h-index

    17 publications

    2.5K citations

  2. Malayer University

    Malāyer, Iran

    10 h-index

    21 publications

    569 citations

  3. Kyoto University

    Kyoto, Japan

    6 h-index

    6 publications

    227 citations

  4. University of Salzburg

    Salzburg, Austria

    5 h-index

    8 publications

    191 citations

  5. University of Split

    Split, Croatia

    5 h-index

    5 publications

    159 citations

  6. KU Leuven

    Leuven, Belgium

    5 h-index

    10 publications

    429 citations

  7. Bu-Ali Sina University

    Hamadan, Iran

    5 h-index

    6 publications

    110 citations

  8. National University of Singapore

    Singapore, Singapore

    5 h-index

    9 publications

    374 citations

1–8 of 518

Venues

  1. Mathematics of Computation

    MCOM · 40 publications · 2K citations

    19

    h-index

  2. SIAM Journal on Numerical Analysis

    21 publications · 2K citations

    17

    h-index

  3. Journal of Computational and Applied Mathematics

    16 publications · 798 citations

    13

    h-index

  4. Numerische Mathematik

    11 publications · 636 citations

    10

    h-index

  5. SIAM Review

    9 publications · 552 citations

    9

    h-index

1–5