Quantum effects of lattice vibration play a major role in many physical properties condensed matter systems, including thermal such as specific heat, structural phase transition, well phenomena quantum crystal and paraelectricity that are closely related to zero-point fluctuations. However, realizing atomistic simulations for realistic materials with fully quantum-mechanical description remains...

An optimal order of convergence result, with respect to the error level in the data, is given for a Tikhonov-like method for approximating values of an unbounded operator. It is also shown that if the choice of parameter in the method is made by the discrepancy principle, then the order of convergence of the resulting method is suboptimal. Finally, a modi-ed discrepancy principle leading to an ...

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty o...

Many discrepancy principles are known for choosing the parameter in the regularized operator equation (T T + I)x = T y , ky ?y k , in order to approximate the minimal norm least-squares solution of the operator equation Tx = y. In this paper we consider a class of discrepancy principles for choosing the regularization parameter when T T and T y are approximated by A n and z n respectively with ...

We derive convergence rates for Tikhonov-type regularization with convex penalty terms, where the regularization parameter is chosen according to Morozov’s discrepancy principle and variational inequalities are used to generalize classical source and nonlinearity conditions. Rates are obtained first with respect to the Bregman distance and a Taylor-type distance and those results are combined t...

coil and the Fourier operator, Ψ is a transform that produces a compressible function when operating on the image m, and the constant λ is adjusted to balance data fidelity and artifact reduction (first and second terms in J). If λ is chosen too small, uncorrected aliasing remains in the image. If λ is chosen too large, the image appears blurry. Many methods have been developed to automatically...

This paper presents a formalization of the energy management problem in hybrid electric vehicles and a comparison of three known methods for solving the resulting optimization problem. Dynamic programming (DP), Pontryagin’s minimum principle (PMP), and equivalent consumption minimization strategy (ECMS) are described and analyzed, showing formally their substantial equivalence. Simulation resul...