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- Anil V. Rao, David A. Benson, +4 authors Geoffrey T. Huntington
- ACM Trans. Math. Softw.
- 2010

An algorithm is described to solve multiple-phase optimal control problems using a recently developed numerical method called the Gauss pseudospectral method. The algorithm is well suited for use in… (More)

- Divya Garg, Michael A. Patterson, William W. Hager, Anil V. Rao, David A. Benson, Geoffrey T. Huntington
- Automatica
- 2010

Aunified framework is presented for the numerical solution of optimal control problems using collocation at Legendre–Gauss (LG), Legendre–Gauss–Radau (LGR), and Legendre–Gauss–Lobatto (LGL) points.… (More)

A transport equation that uses fractional-order dispersion derivatives has fundamental solutions that are Lévy’s a-stable densities. These densities represent plumes that spread proportional to time,… (More)

N UMERICALmethods for solving optimal control problems fall into two general categories: indirect methods and direct methods [1]. In an indirect method, first-order necessary conditions for… (More)

[1] A fractal mobile/immobile model for solute transport assumes power law waiting times in the immobile zone, leading to a fractional time derivative in the model equations. The equations are… (More)

[1] Chemical reactions may be simulated without regard to local concentrations by applying simple probabilistic rules of particle interaction and combination. The forward reaction A + B! C is coded… (More)

- David A. Benson
- 1998

The traditional 2ndorder advectiondispersion equation (ADE) does not adequately describe the movement of solute tracers in aquifers. This study examines and rederives the governing equation. The… (More)

A governing equation of stable random walks is developed in one dimension. This Fokker-Planck equation is similar to, and contains as a subset, the second-order advection dispersion equation (ADE)… (More)

A method is described for performing fragmentation studies on rapidly expanding metal rings. A fast-discharge capacitor system generates magnetic forces which accelerate the rings to maximum radial… (More)