42 citations · 46 across the 9 of their papers we have counts for
4 papers · 2 filters
Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation
Daisuke Furihata, Mihály Kovács, Stig Larsson +1
We consider the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a convex domain with polygonal boundary in dimension . We discretize the equation usi…
Geometric numerical integrators for Hunter-Saxton-like equations
Yuto Miyatake, David Cohen, Daisuke Furihata +1
We present novel geometric numerical integrators for Hunter--Saxton-like equations by means of new multi-symplectic formulations and known Hamiltonian structures of the problems. W…
A novel discrete variational derivative method using "average-difference methods"
Daisuke Furihata, Shun Sato, Takayasu Matsuo
We consider structure-preserving methods for conservative systems, which rigorously replicate the conservation property yielding better numerical solutions. There, corresponding to…
Pathwise existence of solutions to the Implicit Euler method for the stochastic Cahn-Hilliard Equation
Daisuke Furihata, Fredrik Lindgren, Shuji Yoshikawa
We consider the implicit Euler approximation of the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a spatial domain with smooth boundary in dimension $d\le…