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A computational method for general higher index nonlinear singular systems
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acoustic AIAA airfoil algorithm amplitude analysis angle of attack applications approximation assumed bifurcation boundary conditions bounds calculations chaotic coefficients combustion Computational Fluid Dynamics computed considered constant convergence corresponding defined denotes density derivatives differential equations diffusion dimensional domain droplet eigenvalues energy equa error Figure finite difference fixed flame flow frequency function IMACS incompressible initial conditions initial value problem input integral interval invariant iteration J.C. Baltzer laminar linear Lyapunov exponent manifold mapping mathematical matrix mesh multigrid Navier-Stokes Navier-Stokes equations nonlinear obtained optimal trajectories ordinary differential equations oscillations paper parameters partial differential equation perturbation phase space physical plane change present pressure propagation reaction Reynolds number satisfied Scientific Publishing Section simulation Sobolev spaces solved sound speed space stability stochastic surface temperature Theorem tion transformation value problem variables vector velocity viscous vorticity W.F. Ames editor wave windshear zero