Most-cited papers on computational schemes numerical scheme derivative

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

1. Numerical convective schemes based on accurate computation of space derivatives

   1973 · Journal of Computational Physics · Gazdag, Jenö

   135 cited

2. Numerical integration schemes and parallel computation for wear prediction using finite element method

   2008 · Wear · Mukras, Saad M. S., Kim, Nam Ho, Sawyer, W. Gregory et al.

   147 cited

3. Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems—A symbolic-numeric computation approach

   2005 · Chaos An Interdisciplinary Journal of Nonlinear Science · Yan, Zhenya

   75 cited

4. Turbulence model and numerical scheme assessment for buffet computations

   2004 · International Journal for Numerical Methods in Fluids · Goncalvès, Eric, Houdeville, R.

   67 cited

5. Numerical Study for the Three-Dimensional Rayleigh–Taylor Instability through the TVD/AC Scheme and Parallel Computation

   1996 · Journal of Computational Physics · Li, X.L., Jin, Baoxia, Glimm, James

   55 cited

6. Development of non-dissipative numerical schemes for computational aeroacoustics

   1993 · Thomas, Jeffrey, Roe, Philip L.

   55 cited

7. Effects of mesh refinement, time step size and numerical scheme on the computational modeling of temperature evolution during natural-convection heating

   2013 · Journal of Food Engineering · Boz, Ziynet, Erdoğdu, Ferruh, Tutar, Mustafa

   51 cited

8. Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approach

   2006 · Chaos An Interdisciplinary Journal of Nonlinear Science · Yan, Zhenya

   45 cited

9. Time-domain computation of muffler frequency response: Comparison of different numerical schemes

   2007 · Journal of Sound and Vibration · Broatch, Alberto, Serrano, José Ramón, Arnau, Francisco José et al.

   37 cited

10. Computation of axial and transverse wave numbers for uniform two-dimensional ducts with flow using a numerical integration scheme

    1975 · Journal of Sound and Vibration · Eversman, Walter

    35 cited

11. High-resolution high-order upwind compact scheme-based numerical computation of natural convection flows in a square cavity

    2016 · International Journal of Heat and Mass Transfer · Zhao, Bingxin, Tian, Zhenfu

    34 cited

12. A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis

    2020 · Chaos Solitons & Fractals · Dubey, Ved Prakash, Kumar, Rajnesh, Kumar, Devendra

    32 cited

13. Fast numerical scheme for gradient vector flow computation using a multigrid method

    2007 · IET Image Processing · Han, Xiao, Xu, Chenyang, Prince, Jerry L.

    31 cited

14. Numerical computation of neighboring optimum feedback control schemes in real-time

    1979 · Applied Mathematics & Optimization · Pesch, Hans Josef

    30 cited

15. Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation

    2010 · Mathematical Biosciences · Fernández, Miguel Á., Zemzemi, Néjib

    29 cited

16. High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows

    2021 · Journal of Computational Physics · Cao, Guiyu, Pan, Liang, Xu, Kun

    25 cited

17. Numerical simulation of steady turbulent flow through trileaflet aortic heart valves—I. Computational scheme and methodology

    1985 · Journal of Biomechanics · Stevenson, Dana M., Yoganathan, Ajit P.

    25 cited

18. A simple and computationally efficient stress integration scheme based on numerical approximation of the yield function gradients: Application to advanced yield criteria

    2021 · Finite Elements in Analysis and Design · Hosseini, N., Rodríguez-Martínez, J.A.

    22 cited

19. A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

    2022 · Journal of Computational and Nonlinear Dynamics · Nawaz, Yasir, Arif, Muhammad Shoaib, Abodayeh, Kamaleldin

    22 cited

20. Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme

    2021 · Chaos Solitons & Fractals · He, Lingyun, Banihashemi, Seddigheh, Jafari, Hossein et al.

    21 cited

21. A Family of Numerical Schemes for the Computation of Elastic Waves

    1995 · SIAM Journal on Scientific Computing · Sei, Alain

    20 cited

22. The space-time conservation element method - A new numerical scheme for computational aeroacoustics

    1996 · 34th Aerospace Sciences Meeting and Exhibit · Loh, Ching Y., Chang, Siyuan, Scott, James et al.

    19 cited

23. Comparison of Numerical Schemes for a Realistic Computational Aeroacoustics Benchmark Problem

    2004 · International Journal of Aeroacoustics · Hixon, Ray, Nallasamy, M., Sawyer, Steven F. et al.

    18 cited

24. Estimates of error in finite element approximate solutions to problems in linear thermoelasticity. Part 1. Computationally coupled numerical schemes

    1981 · Archive for Rational Mechanics and Analysis · Chou, S. -I., Wang, Chuying

    17 cited

25. Numerical study of MUSCL schemes for computational aeroacoustics

    1997 · 35th Aerospace Sciences Meeting and Exhibit · Lin, San‐Yih, Lin, San‐Yih, Chen, Yu-Fene et al.

    16 cited

26. A Stable Scheme for the Numerical Computation of Long Wave Propagation in Temporal Laminates

    2002 · Journal of Computational Physics · Weekes, Suzanne L.

    16 cited

27. Study of the Error and Efficiency of Numerical Schemes for Computational Aeroacoustics

    2002 · AIAA Journal · DeBonis, James R., Scott, James

    15 cited

28. The evaluation of multicenter integrals by polished brute force techniques: I. Analysis, numerical methods, and computational design of the potential-charge distribution scheme

    2009 · International Journal of Quantum Chemistry · Wahl, Arnold C., Land, R. H.

    15 cited

29. Numerical Simulation of Bubble Dynamics in a Vortex Flow Using Navier-Stokes Computations and Moving Chimera Grid Scheme

    2001 · CalTechCONF (Cal Tech) · Hsiao, Chao-Tsung, Chahine, Georges L.

    15 cited

30. A numerically improved computational scheme for the optical conductivity tensor in layered systems

    2001 · Journal of Physics Condensed Matter · Vernes, A., Szunyogh, L., Weinberger, P.

    14 cited