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#TitleJournalYearCitations
1Fast Parallel Algorithms for Short-Range Molecular DynamicsJournal of Computational Physics199535,279
2Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanesJournal of Computational Physics197718,418
3Volume of fluid (VOF) method for the dynamics of free boundariesJournal of Computational Physics198112,164
4Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulationsJournal of Computational Physics198811,578
5Approximate Riemann solvers, parameter vectors, and difference schemesJournal of Computational Physics19818,613
6A perfectly matched layer for the absorption of electromagnetic wavesJournal of Computational Physics19948,574
7A continuum method for modeling surface tensionJournal of Computational Physics19927,608
8Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's methodJournal of Computational Physics19795,957
9glmmTMB Balances Speed and Flexibility Among Packages for Zero-inflated Generalized Linear Mixed ModelingR Journal20175,354
10Compact finite difference schemes with spectral-like resolutionJournal of Computational Physics19925,222
11Efficient Implementation of Weighted ENO SchemesJournal of Computational Physics19965,195
12A general method for numerically simulating the stochastic time evolution of coupled chemical reactionsJournal of Computational Physics19765,049
13A finite element method for crack growth without remeshingInternational Journal for Numerical Methods in Engineering19995,036
14Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilitiesInternational Journal for Numerical Methods in Engineering20094,970
15Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equationsJournal of Computational Physics20194,963
16Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella samplingJournal of Computational Physics19774,897
17Element-free Galerkin methodsInternational Journal for Numerical Methods in Engineering19944,723
18Solution of the implicitly discretised fluid flow equations by operator-splittingJournal of Computational Physics19863,992
19The method of moving asymptotes—a new method for structural optimizationInternational Journal for Numerical Methods in Engineering19873,935
20Efficient implementation of essentially non-oscillatory shock-capturing schemesJournal of Computational Physics19883,905
21A Level Set Approach for Computing Solutions to Incompressible Two-Phase FlowJournal of Computational Physics19943,887
22A fast algorithm for particle simulationsJournal of Computational Physics19873,849
23Elastic crack growth in finite elements with minimal remeshingInternational Journal for Numerical Methods in Engineering19993,758
24Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimatesMathematics and Computers in Simulation20013,693
25Exact Matrix Completion via Convex OptimizationFoundations of Computational Mathematics20093,570
26High resolution schemes for hyperbolic conservation lawsJournal of Computational Physics19833,432
27Renormalization group analysis of turbulence. I. Basic theoryJournal of Scientific Computing19863,379
28High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid methodJournal of Computational Physics19823,361
29The immersed boundary methodActa Numerica20023,326
30The Piecewise Parabolic Method (PPM) for gas-dynamical simulationsJournal of Computational Physics19843,220
31Solution of the Schrödinger equation by a spectral methodJournal of Computational Physics19822,939
32Boundary conditions for direct simulations of compressible viscous flowsJournal of Computational Physics19922,861
33On the Construction and Comparison of Difference SchemesSIAM Journal on Numerical Analysis19682,767
34Uniformly high order accurate essentially non-oscillatory schemes, IIIJournal of Computational Physics19872,676
35Efficient implementation of essentially non-oscillatory shock-capturing schemes, IIJournal of Computational Physics19892,675
36Simulating Free Surface Flows with SPHJournal of Computational Physics19942,614
37The numerical simulation of two-dimensional fluid flow with strong shocksJournal of Computational Physics19842,600
38Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculationsJournal of Computational Physics19832,558
39Application of a fractional-step method to incompressible Navier-Stokes equationsJournal of Computational Physics19852,545
40Numerical analysis of blood flow in the heartJournal of Computational Physics19772,544
41Weighted Essentially Non-oscillatory SchemesJournal of Computational Physics19942,532
42Unified Analysis of Discontinuous Galerkin Methods for Elliptic ProblemsSIAM Journal on Numerical Analysis20022,483
43Relaxation of Crystals with the Quasi-Newton MethodJournal of Computational Physics19972,389
44A numerical method for solving incompressible viscous flow problemsJournal of Computational Physics19672,354
45Towards the ultimate conservative difference scheme. IV. A new approach to numerical convectionJournal of Computational Physics19772,323
46Efficient estimation of free energy differences from Monte Carlo dataJournal of Computational Physics19762,280
47Fully multidimensional flux-corrected transport algorithms for fluidsJournal of Computational Physics19792,239
48NAMD2: Greater Scalability for Parallel Molecular DynamicsJournal of Computational Physics19992,222
49High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation LawsSIAM Journal on Numerical Analysis19842,214
50The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matricesJournal of Computational Physics19752,203
51Flow patterns around heart valves: A numerical methodJournal of Computational Physics19722,186
52A survey of several finite difference methods for systems of nonlinear hyperbolic conservation lawsJournal of Computational Physics19782,078
53A simple error estimator and adaptive procedure for practical engineerng analysisInternational Journal for Numerical Methods in Engineering19872,077
54An arbitrary Lagrangian-Eulerian computing method for all flow speedsJournal of Computational Physics19742,061
55Local adaptive mesh refinement for shock hydrodynamicsJournal of Computational Physics19892,058
56A new algorithm for Monte Carlo simulation of Ising spin systemsJournal of Computational Physics19752,031
57Structural optimization using sensitivity analysis and a level-set methodJournal of Computational Physics20042,015
58Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order schemeJournal of Computational Physics19741,975
59A front-tracking method for viscous, incompressible, multi-fluid flowsJournal of Computational Physics19921,972
60Dispersion-Relation-Preserving Finite Difference Schemes for Computational AcousticsJournal of Computational Physics19931,929
61Applications of second-order cone programmingLinear Algebra and Its Applications19981,924
62THE PARTITION OF UNITY METHODInternational Journal for Numerical Methods in Engineering19971,923
63Simple Features for R: Standardized Support for Spatial Vector DataR Journal20181,918
64Adaptive mesh refinement for hyperbolic partial differential equationsJournal of Computational Physics19841,891
65Flux-corrected transport. I. SHASTA, a fluid transport algorithm that worksJournal of Computational Physics19731,890
66A spectral element method for fluid dynamics: Laminar flow in a channel expansionJournal of Computational Physics19841,886
67A Numerical Method for Solving Incompressible Viscous Flow ProblemsJournal of Computational Physics19971,866
68The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion SystemsSIAM Journal on Numerical Analysis19981,854
69mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture ModelsR Journal20161,817
70Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methodsJournal of Computational Physics19811,800
71A time-split nonhydrostatic atmospheric model for weather research and forecasting applicationsJournal of Computational Physics20081,789
72The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws VJournal of Computational Physics19981,787
73Numerical integration for polyatomic systemsJournal of Computational Physics19921,761
74Monotone Piecewise Cubic InterpolationSIAM Journal on Numerical Analysis19801,750
75Completely positive linear maps on complex matricesLinear Algebra and Its Applications19751,748
76A Front-Tracking Method for the Computations of Multiphase FlowJournal of Computational Physics20011,744
77Numerical solution of saddle point problemsActa Numerica20051,724
78The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery techniqueInternational Journal for Numerical Methods in Engineering19921,719
79A simple boundary condition for unbounded hyperbolic flowsJournal of Computational Physics19761,683
80Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementationsInternational Journal for Numerical Methods in Engineering20101,672
81New development in freefem++Journal of Numerical Mathematics20121,602
82A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)Journal of Computational Physics19991,587
83Krill herd: A new bio-inspired optimization algorithmCommunications in Nonlinear Science and Numerical Simulation20121,537
84Modeling Low Reynolds Number Incompressible Flows Using SPHJournal of Computational Physics19971,535
85An Analysis of the Total Least Squares ProblemSIAM Journal on Numerical Analysis19801,533
86Iterative Solution of Implicit Approximations of Multidimensional Partial Differential EquationsSIAM Journal on Numerical Analysis19681,521
87Aerodynamic design via control theoryJournal of Scientific Computing19881,509
88Engineering optimisation by cuckoo searchInternational Journal of Mathematical Modelling and Numerical Optimisation20101,503
89Advanced Bayesian Multilevel Modeling with the R Package brmsR Journal20181,500
90ggmap: Spatial Visualization with ggplot2R Journal20131,483
91Level Set Methods: An Overview and Some Recent ResultsJournal of Computational Physics20011,471
92A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous MediaJournal of Computational Physics19971,458
93Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow SimulationsJournal of Computational Physics20001,444
94On calculating with B-splinesJournal of Approximation Theory19721,443
95Jacobian-free Newton–Krylov methods: a survey of approaches and applicationsJournal of Computational Physics20041,433
96A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes EquationsJournal of Computational Physics19971,422
97New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion EquationsJournal of Computational Physics20001,403
98Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated ProblemsJournal of Scientific Computing20011,395
99A class of mixed assumed strain methods and the method of incompatible modesInternational Journal for Numerical Methods in Engineering19901,378
100Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. IISIAM Journal on Numerical Analysis19921,377