scholarly journals Assessing the accuracy of the isotropic periodic sum method through Madelung energy computation

2014 ◽  
Vol 140 (16) ◽  
pp. 164106 ◽  
Author(s):  
Pedro Ojeda-May ◽  
Jingzhi Pu
Keyword(s):  
Madelung Energy ◽  
Energy Computation

scholarly journals A PKC-based security architecture for WSN

2020 ◽  
Vol 309 ◽  
pp. 02006
Author(s):  
Jianbo Yao ◽  
Chaoqiong Yang
Keyword(s):  
Wireless Sensor Network ◽  
Sensor Network ◽  
Public Key Cryptography ◽  
Public Key ◽  
Wireless Sensor ◽  
Security Architecture ◽  
Important Challenge ◽  
Identity Based ◽  
And Storage ◽  
Energy Computation

It is an important challenge to find out suitable cryptography for WSN due to limitations of energy, computation capability and storage resources. Considering this sensor feature on limitations of resources, a security architecture based-on public key cryptography is proposed. The security architecture is based on identity based cryptosystem, but not requires key handshaking. The analysis shows that the security architecture ensures a good level of security and is very much suitable for the resources constrained trend of wireless sensor network.

Calculation of the Madelung Energy of Ionic Thiourea Complexes

1968 ◽  
Vol 49 (5) ◽  
pp. 2435-2438 ◽  
Author(s):  
J. C. A. Boeyens ◽  
G. Gafner
Keyword(s):  
Madelung Energy

Hamiltonian Energy Computation of a Novel Memristive Mega-Stable Oscillator (MMO) with Dissipative, Conservative and Repelled Dynamics

2021 ◽  
Author(s):  
M. D. Vijayakumar ◽  
Hayder Natiq ◽  
Maxim Idriss Tametang Meli ◽  
Leutcho Gervais Dolvis ◽  
Zeric Tabekoueng Njitacke
Keyword(s):  
Energy Computation

Electrostatic lattice energy in ionic crystals: optimization of the convergence of Ewald series

1978 ◽  
Vol 34 (6) ◽  
pp. 974-979 ◽  
Author(s):  
M. Catti
Keyword(s):  
Lattice Energy ◽  
Rates Of Convergence ◽  
Unit Cell ◽  
Group Symmetry ◽  
Cube Root ◽  
Cell Dimensions ◽  
Madelung Energy ◽  
Direct Lattice ◽  
Unit Cell Dimensions ◽  
Theoretical Results

Ewald's method is reconsidered to express the dependence of Madelung energy on the ionic charges explicitly, also taking into account the space-group symmetry of the structure. Upper bounds for the residues of the two partial series have been calculated by integral approximation; that relative to the direct-lattice series is shown to depend on the cube root of the unit-cell volume. The optimum value of the parameter A, which equalizes the rates of convergence of the two sums and minimizes the total number of terms, has been determined numerically for a given termination error and for a range of unit-cell dimensions. Theoretical results are tested by calculations on some specific crystal structures.

scholarly journals Optimal Control Approach to Lambert’s Problem and Gibbs’ Method

2020 ◽  
Vol 10 (7) ◽  
pp. 2419
Author(s):  
Minjeong Kim ◽  
Sungsu Park
Keyword(s):  
Optimal Control ◽  
Pseudospectral Method ◽  
Orbital Energy ◽  
Control Approach ◽  
Control Framework ◽  
Lambert’S Problem ◽  
Computation Algorithm ◽  
Lambert's Problem ◽  
Energy Computation ◽  
Optimal Control Approach

This paper presents the optimal control approach to solve both Lambert’s problem and Gibbs’ method, which are commonly used for preliminary orbit determination. Lambert’s problem is reinterpreted with Hamilton’s principle and is converted to an optimal control problem. Various extended Lambert’s problems are formulated by modifying the weighting and constraint settings within the optimal control framework. Furthermore, Gibbs’ method is also converted to an extended Lambert’s problem with two position vectors and one orbit energy with the help of the proposed orbital energy computation algorithm. The proposed extended Lambert’s problem and Gibbs’ method are numerically solved with the Lobatto pseudospectral method, and their accuracies are verified by numerical simulations.

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