64 citations · 68 across the 9 of their papers we have counts for
10 papers
High-order linearly implicit schemes conserving quadratic invariants
Shun Sato, Yuto Miyatake, John C. Butcher
In this paper, we propose linearly implicit and arbitrary high-order conservative numerical schemes for ordinary differential equations with a quadratic invariant. Many differentia…
Existence results on Lagrange multiplier approach for gradient flows and application to optimization
Kenya Onuma, Shun Sato
This paper deals with the geometric numerical integration of gradient flow and its application to optimization. Gradient flows often appear as model equations of various physical p…
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy
Tomoya Kemmochi, Shun Sato
In this paper, we present a novel investigation of the so-called SAV approach, which is a framework to construct linearly implicit geometric numerical integrators for partial diffe…
NeurIPS 2020 EfficientQA Competition: Systems, Analyses and Lessons Learned
Sewon Min, Jordan Boyd-Graber, Chris Alberti +50
We review the EfficientQA competition from NeurIPS 2020. The competition focused on open-domain question answering (QA), where systems take natural language questions as input and…
Linearly implicit structure-preserving schemes for Hamiltonian systems
Sølve Eidnes, Lu Li, Shun Sato
Kahan's method and a two-step generalization of the discrete gradient method are both linearly implicit methods that can preserve a modified energy for Hamiltonian systems with a c…
Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations
Shun Sato
In this paper, we consider the use of discrete gradients for differential-algebraic equations (DAEs) with a conservation/dissipation law. As one of the most popular numerical metho…
Stability and convergence of a conservative finite difference scheme for the modified Hunter--Saxton equation
Shun Sato
The modified Hunter--Saxton equation models the propagation of short capillary-gravity waves. As it involves a mixed derivative, its initial value problem on the periodic domain is…
Making Bidirected Graphs Strongly Connected
Tatsuya Matsuoka, Shun Sato
We consider problems to make a given bidirected graph strongly connected with minimum cardinality of additional signs or additional arcs. For the former problem, we show the minimu…
On Spatial Discretization of Evolutionary Differential Equations on the Periodic Domain with a Mixed Derivative
Shun Sato, Takayasu Matsuo
Recently, various evolutionary partial differential equations (PDEs) with a mixed derivative have been emerged and drawn much attention. Nonetheless, their PDE-theoretical and nume…
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…