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Natural SciencesMathematicsPhysicsDifferential EquationsFluid DynamicsFluid MechanicsBoundary ConditionsBoundary-value ProblemsInitial ConditionsInitial Value ProblemsNavier-stokes EquationsPartial Differential EquationsInitial Boundary ConditionsInitial Value Problem FormulationInitial-boundary Value ProblemsNonlinear Initial Value ProblemsNumerical Methods For Initial Value Problems