Subfield · Applied Mathematics
Most cited papers in Applied Mathematics
What are the most cited papers in Applied Mathematics?
The most cited paper in Applied Mathematics is "Compressed sensing" (David L. Donoho, 2006), with 23,533 citations. Next come "A theory for multiresolution signal decomposition: the wavelet representation" (21,434) and "Information Theory and an Extension of the Maximum Likelihood Principle" (18,124).
Showing 50 of 99 papers. Every paper with more than 2,360 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Compressed sensing David L. Donoho · IEEE Transactions on Information Theory | Apr 2006 | 23,533 |
| 2 | A theory for multiresolution signal decomposition: the wavelet representation Stéphane Mallat · IEEE Transactions on Pattern Analysis and Machine Intelligence | Jul 1989 | 21,434 |
| 3 | Information Theory and an Extension of the Maximum Likelihood Principle Hirotogu Akaike · Springer series in statistics | 1998 | 18,124 |
| 4 | An Analysis of Transformations George E. P. Box, David Roxbee Cox · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1964 | 15,274 |
| 5 | A Practical Guide to Wavelet Analysis Christopher Torrence, Gilbert P. Compo · Bulletin of the American Meteorological Society | 1998 | 15,178 |
| 6 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics | Nov 1988 | 14,114 |
| 7 | A Caution Regarding Rules of Thumb for Variance Inflation Factors Robert M. O’Brien · Quality & Quantity | 12 Mar 2007 | 11,097 |
| 8 | Ridge Regression: Biased Estimation for Nonorthogonal Problems Arthur E. Hoerl, Robert W. Kennard · Technometrics | Feb 1970 | 9,491 |
| 9 | Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties Jianqing Fan, Runze Li · Journal of the American Statistical Association | Dec 2001 | 9,322 |
| 10 | Matching pursuits with time-frequency dictionaries Stéphane Mallat, Zhifeng Zhang · IEEE Transactions on Signal Processing | 1993 | 9,224 |
| 11 | A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems Prabhu L. Bhatnagar, Eugene P. Gross, Max Krook · Physical Review | May 1954 | 8,631 |
| 12 | Orthonormal bases of compactly supported wavelets Ingrid C. Daubechies · Communications on Pure and Applied Mathematics | Oct 1988 | 8,242 |
| 13 | LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS William Beecher Scoville, Brenda Atkinson Milner · Journal of Neurology Neurosurgery & Psychiatry | Feb 1957 | 7,447 |
| 14 | Stable signal recovery from incomplete and inaccurate measurements Emmanuel J. Candès, Justin Romberg, Terence Tao · Communications on Pure and Applied Mathematics | Mar 2006 | 7,249 |
| 15 | On Gauge Invariance and Vacuum Polarization Julian Schwinger · Physical Review | Jun 1951 | 7,183 |
| 16 | Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method Bram van Leer · Journal of Computational Physics | Jul 1979 | 7,144 |
| 17 | Partial least-squares regression: a tutorial Paul L. M. Geladi, Bruce R. Kowalski · Analytica Chimica Acta | 1986 | 7,034 |
| 18 | Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? Emmanuel J. Candès, Terence Tao · IEEE Transactions on Information Theory | Dec 2006 | 6,984 |
| 19 | Robust principal component analysis? Emmanuel J. Candès, Xiaodong Li, Yi Ma et al. · Journal of the ACM | May 2011 | 6,962 |
| 20 | Efficient Implementation of Weighted ENO Schemes Guang-Shan Jiang, Chi‐Wang Shu · Journal of Computational Physics | Jun 1996 | 6,642 |
| 21 | Positive matrix factorization: A non‐negative factor model with optimal utilization of error estimates of data values Pentti Paatero, Unto Tapper · Environmetrics | Jun 1994 | 6,452 |
| 22 | Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates Ilya M. Sobol · Mathematics and Computers in Simulation | Feb 2001 | 6,427 |
| 23 | Transformed Up-Down Methods in Psychoacoustics Harry N. Levitt · The Journal of the Acoustical Society of America | Feb 1971 | 5,573 |
| 24 | Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting William S. Cleveland, Susan J. Devlin · Journal of the American Statistical Association | Sep 1988 | 5,569 |
| 25 | Numerical solution of the Navier-Stokes equations ALEXANDRE JOEL CHORIN · Mathematics of Computation | 1968 | 5,401 |
| 26 | Lattice BGK Models for Navier-Stokes Equation Y. H. Qian, Dominique d’Humières, Pierre Lallemand · Europhysics Letters (EPL) | Feb 1992 | 5,325 |
| 27 | User’s guide to viscosity solutions of second order partial differential equations Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions · Bulletin of the American Mathematical Society | 1992 | 5,020 |
| 28 | Enhancing Sparsity by Reweighted ℓ 1 Minimization Emmanuel J. Candès, Michael B. Wakin, Stephen Boyd · Journal of Fourier Analysis and Applications | 14 Oct 2008 | 5,007 |
| 29 | Efficient implementation of essentially non-oscillatory shock-capturing schemes, II Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics | Jul 1989 | 4,918 |
| 30 | Efficient implementation of essentially non-oscillatory shock-capturing schemes Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics | Aug 1988 | 4,887 |
| 31 | CONTINUOUS INSPECTION SCHEMES E. S. Page · Biometrika | 1954 | 4,771 |
| 32 | An iteration method for the solution of the eigenvalue problem of linear differential and integral operators Cornelius Lanczos · Journal of research of the National Bureau of Standards | Oct 1950 | 4,448 |
| 33 | Bayesian Interpolation David Mackay · Neural Computation | May 1992 | 4,436 |
| 34 | Dual variational methods in critical point theory and applications Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis | Dec 1973 | 4,419 |
| 35 | On certain integrals of Lipschitz-Hankel type involving products of bessel functions G. Eason, Ben Noble, Ian Naismith Sneddon · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences | 19 Apr 1955 | 4,401 |
| 36 | Hitchhikerʼs guide to the fractional Sobolev spaces Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci · Bulletin des Sciences Mathématiques | 29 Dec 2011 | 4,369 |
| 37 | High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method Urmila Ghia, K. N. Ghia, C. T. Shin · Journal of Computational Physics | Dec 1982 | 4,319 |
| 38 | Compressive Sensing [Lecture Notes] Richard G. Baraniuk · IEEE Signal Processing Magazine | Jul 2007 | 4,190 |
| 39 | Minimax Methods in Critical Point Theory with Applications to Differential Equations Paul H. Rabinowitz · Regional conference series in mathematics | Jul 1986 | 4,190 |
| 40 | Compact sets in the spaceL p (O,T; B) Jacques Simon · Annali di Matematica Pura ed Applicata (1923 -) | Dec 1986 | 4,138 |
| 41 | The Piecewise Parabolic Method (PPM) for gas-dynamical simulations Phillip Colella, Paul R. Woodward · Journal of Computational Physics | Apr 1984 | 4,029 |
| 42 | CasADi: a software framework for nonlinear optimization and optimal control Joel A.E. Andersson, Joris Gillis, Greg Horn et al. · Mathematical Programming Computation | 11 Jul 2018 | 3,950 |
| 43 | Singularity detection and processing with wavelets Stéphane Mallat, Wen-Liang Hwang · IEEE Transactions on Information Theory | Mar 1992 | 3,887 |
| 44 | Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics | Nov 1959 | 3,784 |
| 45 | Flexible smoothing with B-splines and penalties Paul H.C. Eilers, Brian D. Marx · Statistical Science | May 1996 | 3,746 |
| 46 | Rank Transformations as a Bridge between Parametric and Nonparametric Statistics William Jay Conover, Ronald L. Iman · The American Statistician | Aug 1981 | 3,619 |
| 47 | The efficiency of systematic sampling in stereology and its prediction* H. J. G. Gundersen, Eva B. Vedel Jensen · Journal of Microscopy | Sep 1987 | 3,571 |
| 48 | Automatic 3D Intersubject Registration of MR Volumetric Data in Standardized Talairach Space D. Louis Collins, Peter Neelin, Terrence M. Peters et al. · Journal of Computer Assisted Tomography | Mar 1994 | 3,513 |
| 49 | A new definition of fractional derivative Roshdi Rashid Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics | 16 Jan 2014 | 3,504 |
| 50 | Localization of the complex spectrum: the S transform Robert G. Stockwell, Lalu Mansinha, R. P. Lowe · IEEE Transactions on Signal Processing | Apr 1996 | 3,504 |
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.