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Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2004, Volume 69, Issue 5 A, pp. 1 - 52307
In this work, we generalize the quantum-secret-sharing scheme of Hillery, Buzek, and Berthiaume [Phys. Rev. A 59, 1829 (1999)] into arbitrary multiparties.... 
SECURITY | OPTICS | KEY DISTRIBUTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DISTRIBUTION | PARITY | INFORMATION THEORY | INFORMATION | ATOMIC AND MOLECULAR PHYSICS | CORRELATIONS | ENERGY LEVELS | QUANTUM MECHANICS | EFFICIENCY | CONTROL
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 01/2013, Volume 253, pp. 305 - 322
► We propose two novel XFEM-based schemes to couple the equations governing hydraulic fracture propagation. ► The first scheme uses the XFEM to resolve the... 
Hydraulic fractures | Free boundary problems | XFEM | LEVEL SETS | STRESS INTENSITY FACTORS | EXTENDED FINITE-ELEMENT | FLUID-DRIVEN FRACTURE | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PLANE-STRAIN PROPAGATION | ENGINEERING, MULTIDISCIPLINARY | CRACK-GROWTH | ASYMPTOTIC FRAMEWORK | SURFACE | COMPUTATION | Models | Algorithms
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2018, Volume 363, pp. 158 - 177
•Conditionally stable regularized schemes for the advection equation are constructed.•Implicit schemes of the second and fourth order are proposed.•The... 
Two-level scheme | Difference scheme stability | Advection equation | Pade approximation | Lax–Wendroff scheme | Mass matrix diagonalization | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TIME DISCRETIZATION | DIFFERENCE SCHEMES | HIGH-ORDER | PHYSICS, MATHEMATICAL | Lax-Wendroff scheme | Computer Science - Numerical Analysis
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 07/2018, Volume 365, pp. 56 - 73
We develop efficient energy stable numerical methods for solving isotropic and strongly anisotropic Cahn–Hilliard systems with the Willmore regularization. The... 
Phase-field | Multigrid method | Energy stable | Willmore regularization | Anisotropy | Cahn–Hilliard | LEVEL SET APPROACH | PHYSICS, MATHEMATICAL | FINITE-DIFFERENCE SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MOTION | EQUILIBRIUM | TUMOR-GROWTH | THIN-FILM | EQUATION | Cahn-Hilliard | PHASE-FIELD MODEL | Analysis | Numerical analysis
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 05/2000, Volume 21, Issue 6, pp. 2126 - 2143
In this paper, we present a weighted ENO (essentially nonoscillatory) scheme to approximate the viscosity solution of the Hamilton Jacobi equation: phi(t) + H... 
weighted ENO | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | shape-from-shading | EFFICIENT IMPLEMENTATION | level set | ENO | Hamilton jacobi equation | ESSENTIALLY NONOSCILLATORY SCHEMES
Journal Article
International Journal of Quantum Chemistry, ISSN 0020-7608, 08/2019, Volume 119, Issue 16, p. n/a
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2010, Volume 82, Issue 4
A digital signature is a mathematical scheme for demonstrating the authenticity of a digital message or document. For signing quantum messages, some arbitrated... 
OPTICS | UNCONDITIONAL SECURITY | KEY DISTRIBUTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | QUANTUM INFORMATION | DATA TRANSMISSION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | INFORMATION | IMPLEMENTATION | COMMUNICATIONS | QUANTUM ENTANGLEMENT | QUANTUM STATES | ENERGY LEVELS | EFFICIENCY | SECRECY PROTECTION
Journal Article
ACS Sustainable Chemistry & Engineering, ISSN 2168-0485, 08/2017, Volume 5, Issue 8, pp. 6958 - 6968
Although semiconductor photocatalysis has made great progresses as a promising solution to solve the problem of environmental pollution, the highly efficient... 
BiOCl-Au-CdS | Dye | Photocatalytic degradation | Z-scheme | Antibiotics | GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY | SINGLE-CRYSTALLINE NANOSHEETS | 001 FACETS | CHEMISTRY, MULTIDISCIPLINARY | ENGINEERING, CHEMICAL | VISIBLE-LIGHT | NANOPARTICLES | BIOBR NANOSHEETS | DEGRADATION | PARTICLE-SIZE | STATE Z-SCHEME | FERMI-LEVEL | MOLECULAR-OXYGEN ACTIVATION
Journal Article
Computers and Fluids, ISSN 0045-7930, 07/2018, Volume 171, pp. 94 - 102
•Simulation of fluid flows is performed using the fully implicit two level scheme.•Numerical implementation is based on Newton’s method.•Increasing of the time... 
Finite element method | Conservation laws | The Euler system | Two–level schemes | Decoupling scheme | Compressible fluids | Barotropic fluid | VISCOSITY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Two-level schemes | HYPERBOLIC SYSTEMS | Environmental law | Analysis
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2018, Volume 64, Issue 4, pp. 3099 - 3120
Coded caching is a technique that generalizes conventional caching and promises significant reductions in traffic over caching networks. However, the basic... 
Coded caching | Network coding | cyclic codes | Generators | Internet | Servers | Block codes | Indexes | subpacketization level | resolvable designs | FUNDAMENTAL LIMITS | COMPUTER SCIENCE, INFORMATION SYSTEMS | FINITE-LENGTH ANALYSIS | ENGINEERING, ELECTRICAL & ELECTRONIC | Caching | Mathematical analysis | Matrix methods | Combinatorial analysis
Journal Article