M. Leok

activity

20052026

most citedOn the Geometry of Multi-Dirac Structures and Gerstenhaber Algebras

14 citations · 37 across the 28 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.NA2026

Rough variational principles and applications to adjoint systems

Ruiao Hu, Melvin Leok

We consider a Type-II variational principle driven by geometric rough path with split boundary conditions naturally suited to adjoint systems. From this rough variational principle…

math.NA2023

A Type II Hamiltonian Variational Principle and Adjoint Systems for Lie Groups

Brian K. Tran, Melvin Leok

We present a novel Type II variational principle on the cotangent bundle of a Lie group which enforces Type II boundary conditions, i.e., fixed initial position and final momentum.…

math.NA2022

High-order symplectic Lie group methods on $S O (n)$ using the polar decomposition

Xuefeng Shen, Khoa Tran, Melvin Leok

A variational integrator of arbitrarily high-order on the special orthogonal group $S O (n)$ is constructed using the polar decomposition and the constrained Galerkin method. It has…

Rough variational principles and applications to adjoint systems

A Type II Hamiltonian Variational Principle and Adjoint Systems for Lie Groups

High-order symplectic Lie group methods on SO(n) using the polar decomposition

High-order symplectic Lie group methods on $S O (n)$ using the polar decomposition