65 citations · 140 across the 28 of their papers we have counts for
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A cost-efficient variant of the incremental Newton iteration for the matrix th root
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake +1
Incremental Newton (IN) iteration, proposed by Iannazzo, is stable for computing the matrix th root, and its computational cost is flops per iteration. In th…
Energy-preserving -Galerkin schemes for the Hunter--Saxton equation
Yuto Miyatake, Geonsik Eom, Tomohiro Sogabe +1
We consider the numerical integration of the Hunter--Saxton equation, which models the propagation of weakly nonlinear orientation waves. For the equation, we present two weak form…
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…