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Top Articles

#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
9Compact finite difference schemes with spectral-like resolutionJournal of Computational Physics19925,222
10Efficient Implementation of Weighted ENO SchemesJournal of Computational Physics19965,195
11A general method for numerically simulating the stochastic time evolution of coupled chemical reactionsJournal of Computational Physics19765,049
12Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equationsJournal of Computational Physics20194,963
13Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella samplingJournal of Computational Physics19774,897
14Solution of the implicitly discretised fluid flow equations by operator-splittingJournal of Computational Physics19863,992
15Efficient implementation of essentially non-oscillatory shock-capturing schemesJournal of Computational Physics19883,905
16A Level Set Approach for Computing Solutions to Incompressible Two-Phase FlowJournal of Computational Physics19943,887
17A fast algorithm for particle simulationsJournal of Computational Physics19873,849
18High resolution schemes for hyperbolic conservation lawsJournal of Computational Physics19833,432
19High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid methodJournal of Computational Physics19823,361
20The Piecewise Parabolic Method (PPM) for gas-dynamical simulationsJournal of Computational Physics19843,220
21Solution of the Schrödinger equation by a spectral methodJournal of Computational Physics19822,939
22Boundary conditions for direct simulations of compressible viscous flowsJournal of Computational Physics19922,861
23Uniformly high order accurate essentially non-oscillatory schemes, IIIJournal of Computational Physics19872,676
24Efficient implementation of essentially non-oscillatory shock-capturing schemes, IIJournal of Computational Physics19892,675
25Simulating Free Surface Flows with SPHJournal of Computational Physics19942,614
26The numerical simulation of two-dimensional fluid flow with strong shocksJournal of Computational Physics19842,600
27Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculationsJournal of Computational Physics19832,558
28Application of a fractional-step method to incompressible Navier-Stokes equationsJournal of Computational Physics19852,545
29Numerical analysis of blood flow in the heartJournal of Computational Physics19772,544
30Weighted Essentially Non-oscillatory SchemesJournal of Computational Physics19942,532
31Relaxation of Crystals with the Quasi-Newton MethodJournal of Computational Physics19972,389
32A numerical method for solving incompressible viscous flow problemsJournal of Computational Physics19672,354
33Towards the ultimate conservative difference scheme. IV. A new approach to numerical convectionJournal of Computational Physics19772,323
34Efficient estimation of free energy differences from Monte Carlo dataJournal of Computational Physics19762,280
35Fully multidimensional flux-corrected transport algorithms for fluidsJournal of Computational Physics19792,239
36NAMD2: Greater Scalability for Parallel Molecular DynamicsJournal of Computational Physics19992,222
37The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matricesJournal of Computational Physics19752,203
38Flow patterns around heart valves: A numerical methodJournal of Computational Physics19722,186
39A survey of several finite difference methods for systems of nonlinear hyperbolic conservation lawsJournal of Computational Physics19782,078
40An arbitrary Lagrangian-Eulerian computing method for all flow speedsJournal of Computational Physics19742,061
41Local adaptive mesh refinement for shock hydrodynamicsJournal of Computational Physics19892,058
42A new algorithm for Monte Carlo simulation of Ising spin systemsJournal of Computational Physics19752,031
43Structural optimization using sensitivity analysis and a level-set methodJournal of Computational Physics20042,015
44Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order schemeJournal of Computational Physics19741,975
45A front-tracking method for viscous, incompressible, multi-fluid flowsJournal of Computational Physics19921,972
46Dispersion-Relation-Preserving Finite Difference Schemes for Computational AcousticsJournal of Computational Physics19931,929
47Adaptive mesh refinement for hyperbolic partial differential equationsJournal of Computational Physics19841,891
48Flux-corrected transport. I. SHASTA, a fluid transport algorithm that worksJournal of Computational Physics19731,890
49A spectral element method for fluid dynamics: Laminar flow in a channel expansionJournal of Computational Physics19841,886
50A Numerical Method for Solving Incompressible Viscous Flow ProblemsJournal of Computational Physics19971,866