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The integrators exactly preserve energy and have arbitrarily high order.
The classic second-order averaged vector field (AVF) method can exactly preserve the energy for Hamiltonian systems.
The second is the subsonic hydrostatic reconstruction (HR-S), adapted here to blood flow and designed to exactly preserve all subcritical steady states.
Numerical experiments are carried out to check the properties of the scheme and assess the ability to exactly preserve all the steady states.
Multisymplectic (MS) integrators, i.e. numerical schemes which exactly preserve a discrete space time symplectic structure, are a new class of structure preserving algorithms for solving Hamiltonian PDEs.
Based on a combination of finite elements in space and fractional step methods in time, we formulate algorithms that exactly preserve the symmetries and the laws of thermodynamics of the continuum problem.
Similar(53)
We prove that this discretization exactly preserves the local mass and momentum.
In particular, the Hamiltonian can always be exactly preserved as a constant of the motion.
As the first step, a model system that exactly preserves the MHD hyperbolic singularities is considered.
Both these procedures satisfy the C-property, the property of exactly preserving the quiescent flow.
First, it exactly preserves the LLG property of conserving the magnetization magnitude at each spatial location.
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