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Donald French
Donald French
Professor of Mathematics, University of Cincinnati
Verified email at ucmail.uc.edu - Homepage
Title
Cited by
Cited by
Year
Numerical studies of the Cahn-Hilliard equation for phase separation
CM Elliott, DA French
IMA Journal of Applied Mathematics 38 (2), 97-128, 1987
3631987
A second order splitting method for the Cahn-Hilliard equation
CM Elliott, DA French, FA Milner
Numerische Mathematik 54, 575-590, 1989
3511989
A nonconforming finite-element method for the two-dimensional Cahn–Hilliard equation
CM Elliott, DA French
SIAM Journal on Numerical Analysis 26 (4), 884-903, 1989
1881989
A continuous space-time finite element method for the wave equation
D French, T Peterson
Mathematics of Computation 65 (214), 491-506, 1996
1561996
Global error control for the continuous Galerkin finite element method for ordinary differential equations
D Estep, D French
ESAIM: Mathematical Modelling and Numerical Analysis 28 (7), 815-852, 1994
1101994
A space-time finite element method for the wave equation
DA French
Computer methods in applied mechanics and engineering 107 (1-2), 145-157, 1993
1101993
Approximation of an elliptic control problem by the finite element method
DA French, J Thomas King
Numerical Functional Analysis and Optimization 12 (3-4), 299-314, 1991
991991
Continuous finite element methods which preserve energy properties for nonlinear problems
DA French, JW Schaeffer
Applied mathematics and computation 39 (3), 271-295, 1990
711990
Clustering of cyclic-nucleotide-gated channels in olfactory cilia
RJ Flannery, DA French, SJ Kleene
Biophysical journal 91 (1), 179-188, 2006
622006
A posteriori error estimates for general numerical methods for scalar conservation laws
B Cockburn, H Gau
Mat. Aplic. Comp 14 (1), 37-47, 1995
541995
On the convergence of finite-element approximations of a relaxed variational problem
DA French
SIAM journal on numerical analysis 27 (2), 419-436, 1990
461990
Analysis of a robust finite element approximation for a parabolic equation with rough boundary data
DA French, JT King
Mathematics of computation 60 (201), 79-104, 1993
401993
Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem
DA French, S Larsson, RH Nochetto
Computational Methods in Applied Mathematics 1 (1), 18-38, 2001
392001
Continuous Galerkin finite element methods for a forward‐backward heat equation
DA French
Numerical Methods for Partial Differential Equations: An International …, 1999
371999
Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems
DA French, S Jensen
IMA Journal of Numerical Analysis 14 (3), 421-442, 1994
351994
Towards a PDE-based large-scale decentralized solution for path planning of UAVs in shared airspace
R Radmanesh, M Kumar, D French, D Casbeer
Aerospace Science and Technology 105, 105965, 2020
332020
Numerical solution of a thermoviscoelastic contact problem by a penalty method
MIM Copetti, DA French
SIAM Journal on Numerical Analysis 41 (4), 1487-1504, 2003
272003
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
AK Aziz, DA French, S Jensen, RB Kellogg
ESAIM: Mathematical Modelling and Numerical Analysis 33 (5), 895-922, 1999
271999
An integrate-and-fire model for synchronized bursting in a network of cultured cortical neurons
DA French, EI Gruenstein
Journal of computational neuroscience 21, 227-241, 2006
262006
Identification of a free energy functional in an integro-differential equation model for neuronal network activity
DA French
Applied mathematics letters 17 (9), 1047-1051, 2004
262004
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