Science Explorer Back to mapMap

Most cited papers in Scientific Research and Discoveries

Scientific Research and Discoveries

What are the most cited papers in Scientific Research and Discoveries?

The most cited paper in Scientific Research and Discoveries is "Particle mesh Ewald: An N ⋅log( N ) method for Ewald sums in large systems" (Tom Darden, Darrin M. York, Lee G. Pedersen, 1993), with 31,396 citations. Next come "Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes" (21,804) and "Monte Carlo sampling methods using Markov chains and their applications" (15,456).

Showing 50 of 100 papers. Every paper with more than 1,327 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Particle mesh Ewald: An N ⋅log( N ) method for Ewald sums in large systems Tom Darden, Darrin M. York, Lee G. Pedersen · The Journal of Chemical Physics Open access 15 Jun 1993 31,396
2 Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen · Journal of Computational Physics Mar 1977 21,804
3 Monte Carlo sampling methods using Markov chains and their applications W. Keith Hastings · Biometrika Apr 1970 15,456
4 Refinement of Macromolecular Structures by the Maximum-Likelihood Method Garib N. Murshudov, Alexey A. Vagin, E. J. Dodson · Acta Crystallographica Section D Biological Crystallography May 1997 15,006
5 The Properties of Gases and Liquids Robert Cortas Reid, THOMAS K. SHERWOOD, Robert E. Street · Physics Today Apr 1959 14,172
6 Efficient Global Optimization of Expensive Black-Box Functions Donald R. Jones, Matthias Schonlau, William J. Welch · Journal of Global Optimization Dec 1998 8,096
7 Settle: An analytical version of the SHAKE and RATTLE algorithm for rigid water models Shuichi Miyamoto, Peter A. Kollman · Journal of Computational Chemistry Oct 1992 7,681
8 CP Conservation in the Presence of Pseudoparticles R. D. Peccei, Helen R. Quinn · Physical Review Letters 20 Jun 1977 7,150
9 GROMACS 3.0: a package for molecular simulation and trajectory analysis Erik R. Lindahl, Berk Hess, David van der Spoel · Journal of Molecular Modeling Aug 2001 7,048
10 HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere Krzysztof M. Gorski, E. Hivon, Anthony J. Banday et al. · The Astrophysical Journal Open access 29 Mar 2005 6,115
11 The NRAO VLA Sky Survey J. J. Condon, W. D. Cotton, E. W. Greisen et al. · The Astronomical Journal Open access May 1998 5,847
12 Distribution of the Elements in Some Major Units of the Earth's Crust Karl K. Turekian, Karl Hans Wedepohl · Geological Society of America Bulletin 1961 5,632
13 Monte Carlo Statistical Methods Hoon Kim, Christian P. Robert, George Casella · Technometrics Open access Nov 2000 5,603
14 Bootstrap Methods and Their Application Thomas M. Loughin, A. C. Davison, D. V. Hinkley · Journal of the American Statistical Association Mar 1999 5,533
15 The Fourier Transform and Its Applications R. N. Bracewell, Peter B. Kahn · American Journal of Physics Aug 1966 5,458
16 New extension of the Kalman filter to nonlinear systems Simon Julier, Jeffrey K. Uhlmann · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE Conference paper 28 Jul 1997 5,359
17 A fast algorithm for particle simulations Leslie Greengard, Vladimir Abramovich Rokhlin · Journal of Computational Physics Open access Dec 1987 4,977
18 The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing 2002 4,874
19 MODULES FOR EXPERIMENTS IN STELLAR ASTROPHYSICS (MESA) Bill Paxton, Lars Bildsten, Aaron Dotter et al. · The Astrophysical Journal Supplement Series Open access 15 Dec 2010 4,403
20 The work function of the elements and its periodicity Herbert B. Michaelson · Journal of Applied Physics Nov 1977 4,289
21 Starburst99: Synthesis Models for Galaxies with Active Star Formation Claus Leitherer, Daniel Schaerer, Jeffrey D. Goldader et al. · The Astrophysical Journal Supplement Series Open access Jul 1999 4,048
22 Gaia Early Data Release 3 A. G. A. Brown et al. · Astronomy and Astrophysics Open access425 authors 3 Dec 2020 3,978
23 Core condensation in heavy halos: a two-stage theory for galaxy formation and clustering Simon D. M. White, Martin John Rees · Monthly Notices of the Royal Astronomical Society Open access Jul 1978 3,938
24 A new method for the nonlinear transformation of means and covariances in filters and estimators Simon Julier, Jeffrey K. Uhlmann, Hugh F Durrant-Whyte · IEEE Transactions on Automatic Control Mar 2000 3,749
25 A hierarchical O(N log N) force-calculation algorithm Josh Barnes, Piet Hut · Nature Dec 1986 3,735
26 Algorithm 368: Numerical inversion of Laplace transforms [D5] Harald Stehfest · Communications of the ACM Open access 1970 3,620
27 Sequence logos: a new way to display consensus sequences Thomas Dana Schneider, Robert M. Stephens · Nucleic Acids Research Open access 1990 3,515
28 The evolution of large-scale structure in a universe dominated by cold dark matter M. Davis, G. Efstathiou, Carlos Silvestre Frenk et al. · The Astrophysical Journal May 1985 3,428
29 The statistics of peaks of Gaussian random fields J. Bardeen, J. Richard Bond, N. Kaiser et al. · The Astrophysical Journal May 1986 3,313
30 Remarks on the Unified Model of Elementary Particles Ziro Maki, M. Nakagawa, Shoichi Sakata · Progress of Theoretical Physics Open access Nov 1962 3,310
31 Chaos and quantum thermalization Mark Srednicki · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Open access Aug 1994 3,285
32 Third Reference Catalogue of Bright Galaxies Gérard de Vaucouleurs, A. de Vaucouleurs, H. G. Corwin et al. Book chapter 1991 3,275
33 Climatological Atlas of the World Ocean Sydney Levitus · Eos 6 Dec 1983 3,067
34 PRIMUS: a Windows PC-based system for small-angle scattering data analysis Petr Valeryevich Konarev, В. В. Волков, Anna V. Sokolova et al. · Journal of Applied Crystallography 8 Sep 2003 2,971
35 The structure and properties of water W. Kauzmann · Journal of Molecular Structure Nov 1970 2,946
36 Structure in the COBE differential microwave radiometer first-year maps George F. Smoot et al. · The Astrophysical Journal Sep 1992 2,598
37 Sea-level changes: An integrated approach Charles A. Ross, June R. P. Ross · Geology 1986 2,595
38 Generating samples under a Wright–Fisher neutral model of genetic variation Richard R. Hudson · Bioinformatics Open access Feb 2002 2,592
39 Lanczos Filtering in One and Two Dimensions Claude E. Duchon · Journal of applied meteorology Open access Aug 1979 2,452
40 A simple model of feedback oscillator noise spectrum David B. Leeson · Proceedings of the IEEE 1966 2,439
41 Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later C Moler, Charles Van Loan · SIAM Review 2003 2,399
42 The fitting and prediction of vibration-rotation spectra with spin interactions Herbert M. Pickett · Journal of Molecular Spectroscopy Aug 1991 2,350
43 Statistical Properties of X‐Ray Clusters: Analytic and Numerical Comparisons Greg L. Bryan, Michael L. Norman · The Astrophysical Journal Open access Mar 1998 2,316
44 Nudged elastic band method for finding minimum energy paths of transitions Hannes Jónsson, G.A. Mills, Karsten W. Jacobsen Conference paper Jun 1998 2,195
45 Nuclear Constitution and the Interpretation of Fission Phenomena David L. Hill, JOHN ARCHIBALD WHEELER · Physical Review Mar 1953 2,174
46 Methods for dealing with reaction time outliers. Roger Ratcliff · Psychological Bulletin 1993 2,164
47 Random-matrix physics: spectrum and strength fluctuations Thomas A. Brody, Jorge Flores, J.B. French et al. · Reviews of Modern Physics Jul 1981 2,161
48 Quantum phase transitions Subir Sachdev · Physics World Apr 1999 2,119
49 Gaia Data Release 1 A. G. A. Brown et al. · Astronomy and Astrophysics Open access591 authors 15 Sep 2016 2,113
50 Halo models of large scale structure A. Cooray, Ravi K. Sheth · Physics Reports Open access 28 Oct 2002 2,068

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.