In this paper,we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations.A spectral approximation scheme for the parabolic optimal control problem...
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In this paper,we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations.A spectral approximation scheme for the parabolic optimal control problem is *** obtain a posteriori error estimates of the approximated solutions for both the state and the control.
The 1,3-dipolar cycloaddition reactions of nitrilimine with thiazolo[3,2-a]pyrimidine derivatives was investigated. Bis-cycloadducts were obtained through a domino 1,3-dipolar cycloaddition/ring-opening/ring-opening/ ...
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The 1,3-dipolar cycloaddition reactions of nitrilimine with thiazolo[3,2-a]pyrimidine derivatives was investigated. Bis-cycloadducts were obtained through a domino 1,3-dipolar cycloaddition/ring-opening/ring-opening/ 1,3-dipolar cycloaddition processes. The structures of the products were characterized thoroughly by NMR, IR, MS, elemental analysis together with X-ray crystallographic analysis.
Gold nanoparticles （Au NPs） can serve as visualized colorimetric probes for various targets and modification-free sensing strategies are preferred. The donor-acceptor interaction between the electron-rich melamine ...
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Gold nanoparticles （Au NPs） can serve as visualized colorimetric probes for various targets and modification-free sensing strategies are preferred. The donor-acceptor interaction between the electron-rich melamine （MA） and the electron-deficient trinitrotoluene （TNT） allows formation of a supramolecule in aqueous solution. Melamine alone makes the initially individual reddish Au NPs aggregate into gray/blue Au NP assemblies due to melamine forming multiple ligand sites toward the Au NPs. Interestingly, the preformed supramolecule of MA-TNT disenables aggregation of the Au NPs. Therefore the unmodified Au NPs provide facile colorimetric probes for TNT detection in aqueous solution. Rapid identification of TNT is established by naked eye inspection. By using spectrophotometer tools, quantification of TNT is accomplished with a linear range of 80μmol L-1 to 1.2 mmol/L-1 and a limit of detection （LOD） of 27μmol/L^-1. In contrast to previous strategy with surface-modified Au NPs, here a modification-free sensing strategy for TNT assay has been developed with greater convenience, rapidity, and cost-effectiveness.
In this paper, by modifying the smoothness factor of the third-order CWENO scheme, we present the two-parameter CWENO-NZ3 scheme to improve accuracy at critical points. We selected some classical examples for numerica...
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The ground- and excited-state intramolecular proton transfer processes of 2-（2-R （R=OH, NH2, SH） phenyl （or pyridyl）） benzoxazoles （or benzothiazoles） are investigated by the DFT methods. The calculated result...
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The ground- and excited-state intramolecular proton transfer processes of 2-（2-R （R=OH, NH2, SH） phenyl （or pyridyl）） benzoxazoles （or benzothiazoles） are investigated by the DFT methods. The calculated results indicate that in the ground state there is a high correlation （R=0.9950） between the proton transfer barrier and the intramolecular hydrogen bonds （IMHB） strength. The increase of the strength of IMHB in the proton transfer processes leads to a larger barrier contributions. Intramolecular proton transfer process pathway is along with the minimal difference of change value in the IMHB angle. In the excited-state, there is a similar relationship between the IMHB and the bartier.
A new class of[1,2,4]oxadiazolo[4,5-a]thiazolo[2,3-b]pyrimidin-9(10H)-one was prepared in moderate yields by the reaction of nitrile oxide with 2-arylmethylidene-6,7-dihydro-5H-thiazolo[3,2-a]*** reaction site of dipo...
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A new class of[1,2,4]oxadiazolo[4,5-a]thiazolo[2,3-b]pyrimidin-9(10H)-one was prepared in moderate yields by the reaction of nitrile oxide with 2-arylmethylidene-6,7-dihydro-5H-thiazolo[3,2-a]*** reaction site of dipolarphile is the C=N of thiazolo[3,2-a]pyrimidin-3-one rather than the expected C=C of *** structures of the products were characterized thoroughly by IR,elemental analysis,MS,and NMR analysis.
Silver nanoplates as novel optical sensors for Cu^2＋ detection have been *** nanoplates are synthesized via previous H_2O_2-NaBH_4 cyclic oxidation-reduction *** introduction of ascorbate as mild reductants,Cu^2＋ io...
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Silver nanoplates as novel optical sensors for Cu^2＋ detection have been *** nanoplates are synthesized via previous H_2O_2-NaBH_4 cyclic oxidation-reduction *** introduction of ascorbate as mild reductants,Cu^2＋ ions are reduced into Cu~＋ and the Cu^＋ is further reduced to Cu,which is deposited on the surface of the silver *** deposition of the Cu on the surface of the silver nanoplates allows a significant red-shift of their plasmon ***,trace Cu^2＋ can be *** shift of the plasmon absorption wavelength of silver nanoplates is proportional to the Cu^2＋concentration over a range of 40-340 μmol L^（-1） with a limit of detection of 9.0 μmol L^（-1）.Moreover,such silver nanoplate-based optical sensors provide good selectivity for Cu^2＋ detection,and most other metal ions do not disturb its ***,the practicality of the proposed sensor was *** Cu^2＋assay is advantageous in its simplicity,selectivity,and cost-effectiveness.
Whole genome sequences are generally accepted as excellent tools for studying evolutionary relationships. Due to the problems caused by the uncertainty in alignment, existing tools for phylogenetic analysis based on m...
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In this article,we derive the a posteriori error estimators for a class of steadystate Poisson-Nernst-Planck *** the gradient recovery operator,the upper and lower bounds of the a posteriori error estimators are estab...
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In this article,we derive the a posteriori error estimators for a class of steadystate Poisson-Nernst-Planck *** the gradient recovery operator,the upper and lower bounds of the a posteriori error estimators are established both for the electrostatic potential and *** is shown by theory and numerical experiments that the error estimators are reliable and the associated adaptive computation is efficient for the steady-state PNP systems.
In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking *** results using these material parameters are presented to demonstrate the cloaking effect.
In this paper we present a rigorous derivation of the material parameters for both the cylinder and rectangle cloaking *** results using these material parameters are presented to demonstrate the cloaking effect.
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