Most-cited papers on Numerical Methods and Their Comparisons

Ranked by citation count via OpenAlex. Citations update on a rolling basis; list regenerates every 24h.

1. Numerical inversion of the laplace transform: a survey and comparison of methods

   1979 · Journal of Computational Physics · Davies, Brian, Martin, Brian

   671 cited

2. Comparison of the Single Assessment Numeric Evaluation Method and Two Shoulder Rating Scales

   1999 · The American Journal of Sports Medicine · Williams, Glenn N., Gangel, Timothy J., Arciero, Robert A. et al.

   597 cited

3. Performance comparison of six numerical methods in estimating Weibull parameters for wind energy application

   2010 · Applied Energy · Chang, Tian Pau

   501 cited

4. Comparison of seven numerical methods for determining Weibull parameters for wind energy generation in the northeast region of Brazil

   2011 · Applied Energy · Rocha, Paulo Alexandre Costa, Sousa, R. C., Andrade, Carla Freitas de et al.

   455 cited

5. The Aquila comparison project: the effects of feedback and numerical methods on simulations of galaxy formation

   2012 · Monthly Notices of the Royal Astronomical Society · Scannapieco, Cecilia, Wadepuhl, Markus, Parry, Owen H. et al.

   452 cited

6. Comparison of Performance of Data Imputation Methods for Numeric Dataset

   2019 · Applied Artificial Intelligence · Jadhav, Anil, Pramod, Dhanya, Ramanathan, Krishnan

   449 cited

7. Comparison of indoor aerosol particle concentration and deposition in different ventilated rooms by numerical method

   2003 · Building and Environment · Zhao, Bin, Zhang, Ying, Li, Xianting et al.

   435 cited

8. A comparison of numerical surface topography calculations in geodynamic modelling: an evaluation of the ‘sticky air’ method

   2012 · Geophysical Journal International · Crameri, Fabio, Schmeling, Harro, Golabek, Gregor et al.

   420 cited

9. Comparison of machine learning methods for photovoltaic power forecasting based on numerical weather prediction

   2022 · Renewable and Sustainable Energy Reviews · Markovics, Dávid, Mayer, Martin János

   410 cited

10. Numerical comparison of methods for solving linear differential equations of fractional order

    2005 · Chaos Solitons & Fractals · Momani, Shaher, Odibat, Zaid

    384 cited

11. Comparison of finite-volume numerical methods with staggered and colocated grids

    1988 · Computers & Fluids · Perić, Milovan, Kessler, R., Scheuerer, G.

    369 cited

12. Review of distributed generation (DG) system planning and optimisation techniques: Comparison of numerical and mathematical modelling methods

    2016 · Renewable and Sustainable Energy Reviews · Theo, Wai Lip, Lim, Jeng Shiun, Ho, Wai Shin et al.

    279 cited

13. Comparison among Several Numerical Integration Methods for Kramers-Kronig Transformation

    1988 · Applied Spectroscopy · Ohta, Koji, Ishida, Hatsuo

    275 cited

14. A Comparison of One‐Way and Two‐Way Coupling Methods for Numerical Analysis of Fluid‐Structure Interactions

    2011 · Journal of Applied Mathematics · Benra, Friedrich-Karl, Dohmen, Hans Josef, Pei, Ji et al.

    265 cited

15. Comparison of sequence accelerators forthe Gaver method of numerical Laplace transform inversion

    2004 · Computers & Mathematics with Applications · Valkó, Peter P., Abate, Joseph

    231 cited

16. Graphic and numerical comparison between iterative methods

    2002 · The Mathematical Intelligencer · Malumbres, Juan

    221 cited

17. Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models)

    1998 · Powder Technology · Kawaguchi, Toshihiro, Tanaka, Toshitsugu, Tsuji, Yutaka

    220 cited

18. Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment

    1984 · Journal of Fluid Mechanics · Marcus, Philip

    210 cited

19. Numerical Methods for Modeling Water Quality in Distribution Systems: A Comparison

    1996 · Journal of Water Resources Planning and Management · Rossman, Lewis A., Boulos, Paul F.

    195 cited

20. Comparison of some four-step methods for the numerical solution of the Schrödinger equation

    1985 · Computer Physics Communications · Ixaru, L.Gr., Rizea, M.

    185 cited

21. Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison

    2010 · Lecture notes in computational science and engineering · Bäck, Joakim, Nobile, Fabio, Tamellini, Lorenzo et al.

    183 cited

22. Comparison of different numerical Laplace inversion methods for engineering applications

    2007 · Applied Mathematics and Computation · Hassanzadeh, Hassan, Pooladi‐Darvish, Mehran

    181 cited

23. Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints

    2011 · Mathematical Programming · Hoheisel, Tim, Kanzow, Christian, Schwartz, Alexandra

    179 cited

24. Baseflow Separation - Comparison of Numerical Methods with Tracer Experiments

    1996 · Hydrology and Water Resources Symposium 1996: Water and the Environment; Preprints of Papers · Chapman, TG, Maxwell, AI

    176 cited

25. Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

    2011 · Numerische Mathematik · Bao, Weizhu, Dong, Xuanchun

    167 cited

26. THE NUMERICAL TREATMENT OF ADVECTION: A PERFORMANCE COMPARISON OF CURRENT METHODS

    1982 · Numerical Heat Transfer · Smith, R. M., Hutton, A. G.

    165 cited

27. Comparison of the Single Assessment Numeric Evaluation Method and the Lysholm Score

    2000 · Clinical Orthopaedics and Related Research · Williams, Glenn N., Taylor, Dean C., Gangel, Timothy J. et al.

    160 cited

28. A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method

    2005 · Chaos Solitons & Fractals · Abbasbandy, S.

    159 cited

29. A comparison of analytical and numerical methods for the calculation of temperatures in wheel/rail contact

    2002 · Wear · Ertz, Martin, Knothe, Klaus

    150 cited

30. Numerical simulation of macrosegregation: a comparison between finite volume method and finite element method predictions and a confrontation with experiments

    1998 · Metallurgical and Materials Transactions A · Ahmad, Nadiah, Rappaz, Jacques, Desbiolles, J.-L. et al.

    142 cited