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Hyperbolic systems often have relaxation terms that give them a partially conservative form and that lead to a long-time behavior governed by reduced systems that are parabolic in nature. In thisâ€¦ (More)

- Cheng Hsu, David M. Levermore, Christopher D. Carothers, Gilbert Babin
- IEEE Transactions on Systems, Man, andâ€¦
- 2007

New extended enterprise models such as supply chain integration and demand chain management require a new method of on-demand information exchange that extends the traditional results of a globalâ€¦ (More)

The classical time-dependent drift-diffusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter multiplying the Laplace operator in theâ€¦ (More)

- T Chen, David M. Levermore
- 1992

We study the limiting behavior of systems of hyperbolic conservation laws with stii relaxation terms. Reduced systems, inviscid and viscous local conservation laws, and weakly nonlinear limits areâ€¦ (More)

- David M. Levermore, Gilbert Babin, Cheng Hsu
- J. AIS
- 2010

" Digitally connected enterprises " refers to e-business, global supply chains, and other new business designs of Knowledge Economy; all of which require open and scalable information supply chainsâ€¦ (More)

8. First-Order Equations: Numerical Methods 8.1. Numerical Approximations 2 8.2. Explicit and Implicit Euler Methods 3 8.3. Explicit One-Step Methods Based on Taylor Approximation 4 8.3.1. Explicitâ€¦ (More)

- David M. Levermore, Mira Josowicz, William S. Rees, Jiri Janata
- Analytical chemistry
- 2001

This study establishes the rationale necessary for determining the time to change engine oil. This is based on identifying gaseous components in new and used automobile lubricants. Key compounds,â€¦ (More)

Each such vector is an eigenvector associated with Î», and (Î»,v) is an eigenpair of A. Fact 1: If (Î»,v) is an eigenpair of A then so is (Î», Î±v) for every complex Î± 6= 0. In other words, if v is anâ€¦ (More)

Each of these sets is endowed with natural algebraic operations (like â€˜additionâ€™ and â€˜multiplicationâ€™) and order relations (like â€˜less thanâ€™) by which their elements are manipulated and compared. Itâ€¦ (More)

Because the presentation of this material in class will differ from that in the book, I felt that notes that closely follow the class presentation might be appreciated.