A variational formulation for constrained quasilinear vector systems
نویسندگان
چکیده
منابع مشابه
Tensor Product Variational Formulation for Quantum Systems
We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix renormalization group (CTMRG) method, and its upper bound is surveyed. The variational approach is a way of applying the density matrix renormalization group m...
متن کاملVariational integrators for constrained dynamical systems
A variational formulation of constrained dynamics is presented in the continuous and in the discrete setting. The existing theory on variational integration of constrained problems is extended by aspects on the initialization of simulations, the discrete Legendre transform and certain postprocessing steps. Furthermore, the discrete null space method which has been introduced in the framework of...
متن کاملUncoupled Variational Formulation of a Vector Poisson Problem
{ This Note provides a rigorous analysis for the vector Pois-son problem with the tangential component(s) of the unknown prescribed on the boundary together with the divergence of the unknown speciied on it. This kind of boundary conditions implies a coupling between the Cartesian components of the unknown in two and three dimensions. A new uncoupled variational formulation of the problem is pr...
متن کاملA variational formulation for PDEs
Definition 1. A classic solution (sometimes called strong solution) to the problem is a function u ∈ C2([a, b]) such that it vanishes at the endpoints and pointwise it satisfies the equation −u′′(x)+ u(x) = f(x). Let’s change approach. Suppose that we formally multiply the differential equation by an arbitrary function φ ∈ C1([a, b]) with φ(a) = φ(b) = 0 and we integrate over the interval [a, b...
متن کاملA variational approach to multirate integration for constrained systems
The simulation of systems with dynamics on strongly varying time scales is quite challenging and demanding with regard to possible numerical methods. A rather naive approach is to use the smallest necessary time step to guarantee a stable integration of the fast frequencies. However, this typically leads to unacceptable computational loads. Alternatively, multirate methods integrate the slow pa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1977
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/459268