[图书][B] A concise introduction to geometric numerical integration
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Volume-preserving exponential integrators and their applications
B Wang, X Wu - Journal of Computational Physics, 2019 - Elsevier
It is well known that various dynamical systems preserve volume in phase space such as all
Hamiltonian systems. This qualitative geometrical property of the analytical solution should …
Hamiltonian systems. This qualitative geometrical property of the analytical solution should …
A new approach for simulating inhomogeneous chemical kinetics
G Bradshaw, M O'Leary, ASF Purser… - Scientific Reports, 2023 - nature.com
In this paper, inhomogeneous chemical kinetics are simulated by describing the
concentrations of interacting chemical species by a linear expansion of basis functions in …
concentrations of interacting chemical species by a linear expansion of basis functions in …
High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system
C Liu, Y Tang, J Yu, Y Fang - Journal of Mathematical Chemistry, 2024 - Springer
The paper mainly focus on the investigation of high-order energy-preserving (EP)
collocation integrators for the second-order Hamiltonian system. The proposed EP …
collocation integrators for the second-order Hamiltonian system. The proposed EP …
Volume-Preserving Exponential Integrators
X Wu, B Wang, X Wu, B Wang - Geometric Integrators for Differential …, 2021 - Springer
Since various dynamical systems preserve volume in phase space, such as all Hamiltonian
systems, this qualitative geometrical property of the analytical solution should be preserved …
systems, this qualitative geometrical property of the analytical solution should be preserved …
Computing cost-effective particle trajectories in numerically calculated incompressible fluids using geometric methods
BK Tapley - arXiv preprint arXiv:1901.05236, 2019 - arxiv.org
We present an novel algorithm for tracking massless solid particles in a divergence-free
velocity field that is only available at discrete points in space and time such as those arising …
velocity field that is only available at discrete points in space and time such as those arising …
Pressure measurement in the cylinder of four-stroke marine engine-simulation analysis
D Cuper-Przybylska - Combustion Engines, 2019 - yadda.icm.edu.pl
The measurement of combustion pressure relies on connecting a pressure sensor to a four-
stroke marine engine cylinder by a channel led out from the engine cylinder. The geometry …
stroke marine engine cylinder by a channel led out from the engine cylinder. The geometry …
Volume-preserving exponential integrators
B Wang, X Wu - arXiv preprint arXiv:1805.11713, 2018 - arxiv.org
As is known that various dynamical systems including all Hamiltonian systems preserve
volume in phase space. This qualitative geometrical property of the analytical solution …
volume in phase space. This qualitative geometrical property of the analytical solution …