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math.NA2021
Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics
Nobuki Takayama, Takaharu Yaguchi, Yi Zhang
Definite integrals with parameters of holonomic functions satisfy holonomic systems of linear partial differential equations. When we restrict parameters to a one dimensional curve…
math.NA2021★ 1 cited
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains
Yi Zhang, Artur Palha, Marc Gerritsma +1
We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and helicity for three-dimensional incompressible Navier-Stokes equations. The discretization…