## Advances in Numerical and Applied Mathematics |

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### Contents

Convergence to Steady State of Solutions of Burgers Equation | 1 |

Stability Analysis of Intermediate Boundary Conditions in Approximate | 30 |

Multiple Steady States for Characteristic Initial Value Problems | 56 |

19 other sections not shown

### Common terms and phrases

accuracy algorithm applied approximation axial boundary conditions boundary value problem branch calculations cell coefficient computed conservation laws consider constant convergence corresponding curve defined denote derivatives difference scheme differential equations discontinuities discretization domain eigenvalue entropy error Euler equations expansion Figure finite difference finite element Fluid Dynamics flux follows formulation gas dynamics given grid points hyperbolic implicit initial conditions initial data integration interface interpolation interval inviscid iteration Langley Research Center least squares Leibovich Lemma linear Math matrix mesh multidomain NASA Navier-Stokes equations nonlinear null space numerical solution obtained Osher parameter Phys piecewise polynomial positive Reynolds number Riemann Runge-Kutta satisfies scalar shock smooth solve spectral method stability steady step stream function streamline Theorem total variation diminishing transonic transonic flow upwind variable vector velocity viscous vortex breakdown vorticity wave wavenumber weak element method zero