Zobrazeno 1 - 10
of 1 942
pro vyhledávání: '"Tran, A. K."'
Autor:
Tran, Brian K., Southworth, Ben S.
We present a mathematical framework for Galerkin formulations of path integrals in lattice field theory. The framework is based on using the degrees of freedom associated to a Galerkin discretization as the fundamental lattice variables. We formulate
Externí odkaz:
http://arxiv.org/abs/2411.15343
Introduction: Approximately 23 million or 30% of epilepsy patients worldwide suffer from drug-resistant epilepsy (DRE). The unpredictability of seizure occurrences, which causes safety issues as well as social concerns, restrict the lifestyles of DRE
Externí odkaz:
http://arxiv.org/abs/2410.05491
We study the Waldschmidt constant of some configurations in the projective plane. In the first part, we show that the Waldschmidt constant of a set $\mathbb{X}$ of $n$ points where at least $n-3$ points among them lie on a line is either equal to $1,
Externí odkaz:
http://arxiv.org/abs/2410.05029
Autor:
Tran, Brian K., Leok, Melvin
Motivated by recent developments in Hamiltonian variational principles, Hamiltonian variational integrators, and their applications such as to optimization and control, we present a new Type II variational approach for Hamiltonian systems, based on a
Externí odkaz:
http://arxiv.org/abs/2410.02960
We provide a geometric perspective on the kinetic interaction of matter and radiation, based on a metriplectic approach. We discuss the interaction of kinetic theories via dissipative brackets, with our fundamental example being the coupling of matte
Externí odkaz:
http://arxiv.org/abs/2409.11495
We investigate the geometric structure of adjoint systems associated with evolutionary partial differential equations at the fully continuous, semi-discrete, and fully discrete levels and the relations between these levels. We show that the adjoint s
Externí odkaz:
http://arxiv.org/abs/2404.02320
X-ray photoelectron spectroscopy (XPS) measures core-electron binding energies (CEBEs) to reveal element-specific insights into chemical environment and bonding. Accurate theoretical CEBE prediction aids XPS interpretation but requires proper modelin
Externí odkaz:
http://arxiv.org/abs/2403.06364
Recently a new class of nonlinearly partitioned Runge-Kutta (NPRK) methods was proposed for nonlinearly partitioned systems of ordinary differential equations, $y' = F(y,y)$. The target class of problems are ones in which different scales, stiffnesse
Externí odkaz:
http://arxiv.org/abs/2401.12427
Autor:
Tran, Brian K., Leok, Melvin
Variational integrators for Euler--Lagrange equations and Hamilton's equations are a class of structure-preserving numerical methods that respect the conservative properties of such systems. Lie group variational integrators are a particular class of
Externí odkaz:
http://arxiv.org/abs/2311.03527
Autor:
Tran, Henry K., Berkelbach, Timothy C.
Vibrational heat-bath configuration interaction (VHCI) -- a selected configuration interaction technique for vibrational structure theory -- has recently been developed in two independent works [J. Chem. Phys. 154, 074104 (2021); Mol. Phys. 119, e193
Externí odkaz:
http://arxiv.org/abs/2307.13246