The Journal of Chemical Physics · 1998 · 24 citations · 25 references
Natural SciencesPhysicsComputational Fluid DynamicsComputational PhysicsFluid DynamicsFinite Difference MethodsNumerical Methods For Differential EquationsParticle-based SimulationDissipative Particle DynamicsFinite Difference DiscretizationFinite Difference SchemesFinite Difference SimulationFluid-particle CouplingParticle DynamicsSecond-order Differential EquationsSurface Tension Contributions
We discuss algorithms applicable to the numerical solution of second-order ordinary differential equations by finite differences. We make particular reference to the solution of the dissipative particle dynamics fluid model, and present extensive results comparing one of the algorithms discussed with the standard method of solution. These results show the successful modeling of phase separation and surface tension in a binary immiscible fluid mixture.
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Numerical recipes in C: the art of scientific computing
Choice Reviews Online · 1993 · 18.1K citations · Full text
Numerical Initial Value Problems in Ordinary Differential Equations
James Watt · The Computer Journal · 1972 · 3.6K citations