48 citations · 347 across the 57 of their papers we have counts for
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math.AP2011★ 1 cited
Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method
Filippo Cagnetti, Diogo Gomes, Hung V. Tran
We consider a numerical scheme for the one dimensional time dependent Hamilton-Jacobi equation in the periodic setting. We present a new and simple proof of the rate of convergence…
math.AP2011★ 1 cited
Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton--Jacobi equations
Hiroyoshi Mitake, Hung V. Tran
We investigate the large-time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton--Jacobi equations on the -dimensional torus. We establish a co…
math.AP2011★ 5 cited
Adjoint methods for obstacle problems and weakly coupled systems of PDE
Filippo Cagnetti, Diogo Gomes, Hung Tran
The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton-Jacobi equations,…