Terminal velocity reached by bubble walls in first-order phase transitions is an important
parameter determining both primordial gravitational wave spectrum and the production of …

In this work we derive and analyze variational integrators of higher order for the structure-
preserving simulation of mechanical systems. The construction is based on a space of …

Variational integrators are derived for structure-preserving simulation of stochastic
Hamiltonian systems with a certain type of multiplicative noise arising in geometric …

As numerous modern challenges in scientific questions, industrial needs, and societal
requirements emerge, the demand for designing numerical methods to solve tremendously …

In this work, variational integrators of higher order for dynamical systems with holonomic
constraints are constructed and analyzed. The construction is based on approximating the …

Variational integrators are derived for structure-preserving simulation of stochastic forced
Hamiltonian systems. The derivation is based on a stochastic discrete Hamiltonian, which …

Recently there has been increasing interest in the use of learning techniques to model
dynamical systems directly from data for scientific and engineering applications. However, in …

In this work, we recast the collisional Vlasov–Maxwell and Vlasov–Poisson equations as
systems of coupled stochastic and partial differential equations, and we derive stochastic …

In recent years, much effort in designing numerical methods for the simulation and
optimization of mechanical systems has been put into schemes which are structure …

Variational integrators have traditionally been constructed from the perspective of
Lagrangian mechanics, but there have been recent efforts to adopt discrete variational …