# | Title | Journal | Year | Citations |
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|
1 | Fast Parallel Algorithms for Short-Range Molecular Dynamics | Journal of Computational Physics | 1995 | 36,712 |
2 | Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes | Journal of Computational Physics | 1977 | 18,897 |
3 | Volume of fluid (VOF) method for the dynamics of free boundaries | Journal of Computational Physics | 1981 | 12,611 |
4 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations | Journal of Computational Physics | 1988 | 11,738 |
5 | Approximate Riemann solvers, parameter vectors, and difference schemes | Journal of Computational Physics | 1981 | 8,752 |
6 | A perfectly matched layer for the absorption of electromagnetic waves | Journal of Computational Physics | 1994 | 8,694 |
7 | A continuum method for modeling surface tension | Journal of Computational Physics | 1992 | 7,949 |
8 | Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations | Journal of Computational Physics | 2019 | 6,163 |
9 | Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method | Journal of Computational Physics | 1979 | 6,087 |
10 | Efficient Implementation of Weighted ENO Schemes | Journal of Computational Physics | 1996 | 5,370 |
11 | Compact finite difference schemes with spectral-like resolution | Journal of Computational Physics | 1992 | 5,312 |
12 | A general method for numerically simulating the stochastic time evolution of coupled chemical reactions | Journal of Computational Physics | 1976 | 5,161 |
13 | Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling | Journal of Computational Physics | 1977 | 5,095 |
14 | Solution of the implicitly discretised fluid flow equations by operator-splitting | Journal of Computational Physics | 1986 | 4,151 |
15 | Efficient implementation of essentially non-oscillatory shock-capturing schemes | Journal of Computational Physics | 1988 | 4,012 |
16 | A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow | Journal of Computational Physics | 1994 | 3,983 |
17 | A fast algorithm for particle simulations | Journal of Computational Physics | 1987 | 3,912 |
18 | High resolution schemes for hyperbolic conservation laws | Journal of Computational Physics | 1983 | 3,472 |
19 | High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method | Journal of Computational Physics | 1982 | 3,431 |
20 | The Piecewise Parabolic Method (PPM) for gas-dynamical simulations | Journal of Computational Physics | 1984 | 3,267 |
21 | Solution of the Schrödinger equation by a spectral method | Journal of Computational Physics | 1982 | 3,076 |
22 | Boundary conditions for direct simulations of compressible viscous flows | Journal of Computational Physics | 1992 | 2,943 |
23 | Efficient implementation of essentially non-oscillatory shock-capturing schemes, II | Journal of Computational Physics | 1989 | 2,729 |
24 | Uniformly high order accurate essentially non-oscillatory schemes, III | Journal of Computational Physics | 1987 | 2,711 |
25 | Simulating Free Surface Flows with SPH | Journal of Computational Physics | 1994 | 2,704 |
26 | The numerical simulation of two-dimensional fluid flow with strong shocks | Journal of Computational Physics | 1984 | 2,669 |
27 | Weighted Essentially Non-oscillatory Schemes | Journal of Computational Physics | 1994 | 2,638 |
28 | Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations | Journal of Computational Physics | 1983 | 2,637 |
29 | A Numerical Method for Solving Incompressible Viscous Flow Problems | Journal of Computational Physics | 1997 | 2,626 |
30 | Numerical analysis of blood flow in the heart | Journal of Computational Physics | 1977 | 2,591 |
31 | Application of a fractional-step method to incompressible Navier-Stokes equations | Journal of Computational Physics | 1985 | 2,586 |
32 | Relaxation of Crystals with the Quasi-Newton Method | Journal of Computational Physics | 1997 | 2,489 |
33 | A numerical method for solving incompressible viscous flow problems | Journal of Computational Physics | 1967 | 2,372 |
34 | Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection | Journal of Computational Physics | 1977 | 2,365 |
35 | Efficient estimation of free energy differences from Monte Carlo data | Journal of Computational Physics | 1976 | 2,349 |
36 | Flow patterns around heart valves: A numerical method | Journal of Computational Physics | 1972 | 2,278 |
37 | Fully multidimensional flux-corrected transport algorithms for fluids | Journal of Computational Physics | 1979 | 2,268 |
38 | NAMD2: Greater Scalability for Parallel Molecular Dynamics | Journal of Computational Physics | 1999 | 2,256 |
39 | The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices | Journal of Computational Physics | 1975 | 2,233 |
40 | A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws | Journal of Computational Physics | 1978 | 2,128 |
41 | An arbitrary Lagrangian-Eulerian computing method for all flow speeds | Journal of Computational Physics | 1974 | 2,112 |
42 | Local adaptive mesh refinement for shock hydrodynamics | Journal of Computational Physics | 1989 | 2,085 |
43 | Structural optimization using sensitivity analysis and a level-set method | Journal of Computational Physics | 2004 | 2,080 |
44 | A new algorithm for Monte Carlo simulation of Ising spin systems | Journal of Computational Physics | 1975 | 2,054 |
45 | Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme | Journal of Computational Physics | 1974 | 2,021 |
46 | A front-tracking method for viscous, incompressible, multi-fluid flows | Journal of Computational Physics | 1992 | 2,015 |
47 | Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics | Journal of Computational Physics | 1993 | 1,962 |
48 | A spectral element method for fluid dynamics: Laminar flow in a channel expansion | Journal of Computational Physics | 1984 | 1,924 |
49 | Adaptive mesh refinement for hyperbolic partial differential equations | Journal of Computational Physics | 1984 | 1,916 |
50 | Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works | Journal of Computational Physics | 1973 | 1,909 |