#### Filter Results:

- Full text PDF available (11)

#### Publication Year

1995

2018

- This year (1)
- Last 5 years (1)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Cell Type

#### Method

#### Organism

Learn More

- Donald A. French, Todd E. Peterson
- Math. Comput.
- 1996

We consider a finite element method for the nonhomogeneous second-order wave equation, which is formulated in terms of continuous approximation functions in both space and time, thereby giving aâ€¦ (More)

- Richard J. Flannery, Donald A. French, Steven J. Kleene
- Biophysical journal
- 2006

Olfactory cilia contain the known components of olfactory signal transduction, including a high density of cyclic-nucleotide-gated (CNG) channels. CNG channels play an important role in mediatingâ€¦ (More)

- Donald A. French
- 2002

where n is a bounded open domain in R d with d ffi 1, 2 and T > 0. We have restricted our attention to a specific problem entirely to keep the presentation simple. Our results apply to considerablyâ€¦ (More)

Finite element approximations based on a penalty formulation of the elliptic obstacle problem are analyzed in the maximum norm. A posteriori error estimates, which involve a residual of theâ€¦ (More)

- Donald A. French
- 1998

A space-time nite element method is introduced to solve a model forward-backward heat equation. The scheme uses the continuous Galerkin method for the time discretization. An error analysis for theâ€¦ (More)

The long time behavior of arbitrary order fully discrete approximations using the discon-tinuous Galerkin method (see Johnson J]) for the time discretization of a reaction{diiusion equation isâ€¦ (More)

- Jiyeon Oh, Donald A. French
- Applied Mathematics and Computation
- 2006

The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience and was one of theâ€¦ (More)

- Samuel Albert, Bernardo Cockburn, Donald A. French, Todd E. Peterson
- Math. Comput.
- 2002

A new upper bound is provided for the Lâˆž-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. This upper bound isâ€¦ (More)

- Dorjsuren Badamdorj, David A. Edwards, Donald A. French, Steven J. Kleene
- Mathematical methods in the applied sciences
- 2008

Identification of detailed features of neuronal systems is an important challenge in the biosciences today. Transduction of an odor into an electrical signal occurs in the membranes of the cilia. Theâ€¦ (More)

- Donald A. French, Marshall C. Galbraith, Mauricio Osorio
- Applied Mathematics and Computation
- 2012

A theoretical error analysis using standard Sobolev space energy arguments is furnished for a class of discontinuous Galerkin (DG) schemes that are modi ed versions of those introduced by van Leerâ€¦ (More)