# | Title | Journal | Year | Citations |
---|
1 | Fast Parallel Algorithms for Short-Range Molecular Dynamics | Journal of Computational Physics | 1995 | 35,279 |
2 | Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes | Journal of Computational Physics | 1977 | 18,418 |
3 | Volume of fluid (VOF) method for the dynamics of free boundaries | Journal of Computational Physics | 1981 | 12,164 |
4 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations | Journal of Computational Physics | 1988 | 11,578 |
5 | Approximate Riemann solvers, parameter vectors, and difference schemes | Journal of Computational Physics | 1981 | 8,613 |
6 | A perfectly matched layer for the absorption of electromagnetic waves | Journal of Computational Physics | 1994 | 8,574 |
7 | A continuum method for modeling surface tension | Journal of Computational Physics | 1992 | 7,608 |
8 | Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method | Journal of Computational Physics | 1979 | 5,957 |
9 | glmmTMB Balances Speed and Flexibility Among Packages for Zero-inflated Generalized Linear Mixed Modeling | R Journal | 2017 | 5,354 |
10 | Compact finite difference schemes with spectral-like resolution | Journal of Computational Physics | 1992 | 5,222 |
11 | Efficient Implementation of Weighted ENO Schemes | Journal of Computational Physics | 1996 | 5,195 |
12 | A general method for numerically simulating the stochastic time evolution of coupled chemical reactions | Journal of Computational Physics | 1976 | 5,049 |
13 | A finite element method for crack growth without remeshing | International Journal for Numerical Methods in Engineering | 1999 | 5,036 |
14 | Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities | International Journal for Numerical Methods in Engineering | 2009 | 4,970 |
15 | Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations | Journal of Computational Physics | 2019 | 4,963 |
16 | Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling | Journal of Computational Physics | 1977 | 4,897 |
17 | Element-free Galerkin methods | International Journal for Numerical Methods in Engineering | 1994 | 4,723 |
18 | Solution of the implicitly discretised fluid flow equations by operator-splitting | Journal of Computational Physics | 1986 | 3,992 |
19 | The method of moving asymptotes—a new method for structural optimization | International Journal for Numerical Methods in Engineering | 1987 | 3,935 |
20 | Efficient implementation of essentially non-oscillatory shock-capturing schemes | Journal of Computational Physics | 1988 | 3,905 |
21 | A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow | Journal of Computational Physics | 1994 | 3,887 |
22 | A fast algorithm for particle simulations | Journal of Computational Physics | 1987 | 3,849 |
23 | Elastic crack growth in finite elements with minimal remeshing | International Journal for Numerical Methods in Engineering | 1999 | 3,758 |
24 | Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates | Mathematics and Computers in Simulation | 2001 | 3,693 |
25 | Exact Matrix Completion via Convex Optimization | Foundations of Computational Mathematics | 2009 | 3,570 |
26 | High resolution schemes for hyperbolic conservation laws | Journal of Computational Physics | 1983 | 3,432 |
27 | Renormalization group analysis of turbulence. I. Basic theory | Journal of Scientific Computing | 1986 | 3,379 |
28 | High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method | Journal of Computational Physics | 1982 | 3,361 |
29 | The immersed boundary method | Acta Numerica | 2002 | 3,326 |
30 | The Piecewise Parabolic Method (PPM) for gas-dynamical simulations | Journal of Computational Physics | 1984 | 3,220 |
31 | Solution of the Schrödinger equation by a spectral method | Journal of Computational Physics | 1982 | 2,939 |
32 | Boundary conditions for direct simulations of compressible viscous flows | Journal of Computational Physics | 1992 | 2,861 |
33 | On the Construction and Comparison of Difference Schemes | SIAM Journal on Numerical Analysis | 1968 | 2,767 |
34 | Uniformly high order accurate essentially non-oscillatory schemes, III | Journal of Computational Physics | 1987 | 2,676 |
35 | Efficient implementation of essentially non-oscillatory shock-capturing schemes, II | Journal of Computational Physics | 1989 | 2,675 |
36 | Simulating Free Surface Flows with SPH | Journal of Computational Physics | 1994 | 2,614 |
37 | The numerical simulation of two-dimensional fluid flow with strong shocks | Journal of Computational Physics | 1984 | 2,600 |
38 | Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations | Journal of Computational Physics | 1983 | 2,558 |
39 | Application of a fractional-step method to incompressible Navier-Stokes equations | Journal of Computational Physics | 1985 | 2,545 |
40 | Numerical analysis of blood flow in the heart | Journal of Computational Physics | 1977 | 2,544 |
41 | Weighted Essentially Non-oscillatory Schemes | Journal of Computational Physics | 1994 | 2,532 |
42 | Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems | SIAM Journal on Numerical Analysis | 2002 | 2,483 |
43 | Relaxation of Crystals with the Quasi-Newton Method | Journal of Computational Physics | 1997 | 2,389 |
44 | A numerical method for solving incompressible viscous flow problems | Journal of Computational Physics | 1967 | 2,354 |
45 | Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection | Journal of Computational Physics | 1977 | 2,323 |
46 | Efficient estimation of free energy differences from Monte Carlo data | Journal of Computational Physics | 1976 | 2,280 |
47 | Fully multidimensional flux-corrected transport algorithms for fluids | Journal of Computational Physics | 1979 | 2,239 |
48 | NAMD2: Greater Scalability for Parallel Molecular Dynamics | Journal of Computational Physics | 1999 | 2,222 |
49 | High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws | SIAM Journal on Numerical Analysis | 1984 | 2,214 |
50 | The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices | Journal of Computational Physics | 1975 | 2,203 |
51 | Flow patterns around heart valves: A numerical method | Journal of Computational Physics | 1972 | 2,186 |
52 | A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws | Journal of Computational Physics | 1978 | 2,078 |
53 | A simple error estimator and adaptive procedure for practical engineerng analysis | International Journal for Numerical Methods in Engineering | 1987 | 2,077 |
54 | An arbitrary Lagrangian-Eulerian computing method for all flow speeds | Journal of Computational Physics | 1974 | 2,061 |
55 | Local adaptive mesh refinement for shock hydrodynamics | Journal of Computational Physics | 1989 | 2,058 |
56 | A new algorithm for Monte Carlo simulation of Ising spin systems | Journal of Computational Physics | 1975 | 2,031 |
57 | Structural optimization using sensitivity analysis and a level-set method | Journal of Computational Physics | 2004 | 2,015 |
58 | Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme | Journal of Computational Physics | 1974 | 1,975 |
59 | A front-tracking method for viscous, incompressible, multi-fluid flows | Journal of Computational Physics | 1992 | 1,972 |
60 | Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics | Journal of Computational Physics | 1993 | 1,929 |
61 | Applications of second-order cone programming | Linear Algebra and Its Applications | 1998 | 1,924 |
62 | THE PARTITION OF UNITY METHOD | International Journal for Numerical Methods in Engineering | 1997 | 1,923 |
63 | Simple Features for R: Standardized Support for Spatial Vector Data | R Journal | 2018 | 1,918 |
64 | Adaptive mesh refinement for hyperbolic partial differential equations | Journal of Computational Physics | 1984 | 1,891 |
65 | Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works | Journal of Computational Physics | 1973 | 1,890 |
66 | A spectral element method for fluid dynamics: Laminar flow in a channel expansion | Journal of Computational Physics | 1984 | 1,886 |
67 | A Numerical Method for Solving Incompressible Viscous Flow Problems | Journal of Computational Physics | 1997 | 1,866 |
68 | The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems | SIAM Journal on Numerical Analysis | 1998 | 1,854 |
69 | mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models | R Journal | 2016 | 1,817 |
70 | Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods | Journal of Computational Physics | 1981 | 1,800 |
71 | A time-split nonhydrostatic atmospheric model for weather research and forecasting applications | Journal of Computational Physics | 2008 | 1,789 |
72 | The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V | Journal of Computational Physics | 1998 | 1,787 |
73 | Numerical integration for polyatomic systems | Journal of Computational Physics | 1992 | 1,761 |
74 | Monotone Piecewise Cubic Interpolation | SIAM Journal on Numerical Analysis | 1980 | 1,750 |
75 | Completely positive linear maps on complex matrices | Linear Algebra and Its Applications | 1975 | 1,748 |
76 | A Front-Tracking Method for the Computations of Multiphase Flow | Journal of Computational Physics | 2001 | 1,744 |
77 | Numerical solution of saddle point problems | Acta Numerica | 2005 | 1,724 |
78 | The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique | International Journal for Numerical Methods in Engineering | 1992 | 1,719 |
79 | A simple boundary condition for unbounded hyperbolic flows | Journal of Computational Physics | 1976 | 1,683 |
80 | Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations | International Journal for Numerical Methods in Engineering | 2010 | 1,672 |
81 | New development in freefem++ | Journal of Numerical Mathematics | 2012 | 1,602 |
82 | A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) | Journal of Computational Physics | 1999 | 1,587 |
83 | Krill herd: A new bio-inspired optimization algorithm | Communications in Nonlinear Science and Numerical Simulation | 2012 | 1,537 |
84 | Modeling Low Reynolds Number Incompressible Flows Using SPH | Journal of Computational Physics | 1997 | 1,535 |
85 | An Analysis of the Total Least Squares Problem | SIAM Journal on Numerical Analysis | 1980 | 1,533 |
86 | Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations | SIAM Journal on Numerical Analysis | 1968 | 1,521 |
87 | Aerodynamic design via control theory | Journal of Scientific Computing | 1988 | 1,509 |
88 | Engineering optimisation by cuckoo search | International Journal of Mathematical Modelling and Numerical Optimisation | 2010 | 1,503 |
89 | Advanced Bayesian Multilevel Modeling with the R Package brms | R Journal | 2018 | 1,500 |
90 | ggmap: Spatial Visualization with ggplot2 | R Journal | 2013 | 1,483 |
91 | Level Set Methods: An Overview and Some Recent Results | Journal of Computational Physics | 2001 | 1,471 |
92 | A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media | Journal of Computational Physics | 1997 | 1,458 |
93 | Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations | Journal of Computational Physics | 2000 | 1,444 |
94 | On calculating with B-splines | Journal of Approximation Theory | 1972 | 1,443 |
95 | Jacobian-free Newton–Krylov methods: a survey of approaches and applications | Journal of Computational Physics | 2004 | 1,433 |
96 | A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations | Journal of Computational Physics | 1997 | 1,422 |
97 | New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations | Journal of Computational Physics | 2000 | 1,403 |
98 | Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems | Journal of Scientific Computing | 2001 | 1,395 |
99 | A class of mixed assumed strain methods and the method of incompatible modes | International Journal for Numerical Methods in Engineering | 1990 | 1,378 |
100 | Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II | SIAM Journal on Numerical Analysis | 1992 | 1,377 |