http://hdl.handle.net/2027.42/57773 http://deepblue.lib.umich.edu/retrieve/213532 http://hdl.handle.net/2027.42/57773 Search the Channel search http://deepblue.lib.umich.edu/simple-search http://hdl.handle.net/2027.42/60412 Title: An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations<br/><br/>Authors: Suzuki, Yoshifumi; Van Leer, Bram<br/><br/>Abstract: The goal of this research is developing a unified numerical method for simulating continuum and transitional flow. To achieve our ultimate goal, first, hyperbolic-relaxationequations are introduced, then a new discretization method is developed. The method is based on Huynh’s upwind moment scheme, with implicit treatment of the source term. Our previous linear method is generalized to 1-D nonlinear hyperbolic-relaxation equations. First, a Fourier analysis is conducted to uncover the accuracy and stability. Then,the Euler equations with heat transfer, which reduce to the isothermal Euler equations in the equilibrium limit, are adopted as a model equation for the numerical experiment.The analysis and numerical results show the superiority of the proposed method in bothaccuracy and efficiency over the semi-discrete, method-of-line approach. http://hdl.handle.net/2027.42/57883 Title: The Optimal Projection Equations with Petersen-Hollot Bounds: Robust Stability and Performance Via Fixed-Order Dynamic Compensation for Systems with Structured Real-valued Parameter Uncertainty<br/><br/>Authors: Bernstein, Dennis S.; Haddad, Wassim M. http://hdl.handle.net/2027.42/57882 Title: The Optimal Projection Equations for Static and Dynamic Output Feedback: The Singular Case<br/><br/>Authors: Bernstein, Dennis S. http://hdl.handle.net/2027.42/57881 Title: The optimal projection equations for reduced-order, discrete-time state estimation for linear systems with multiplicative white noise<br/><br/>Authors: Haddad, Wassim M.; Bernstein, Dennis S.