scholarly journals On an order reduction theorem in the Lagrangian formalism

1996 ◽  
Vol 111 (12) ◽  
pp. 1439-1447 ◽  
Author(s):  
D. R. Grigore
Keyword(s):  
Order Reduction ◽  
Reduction Theorem ◽  
Lagrangian Formalism

Properties and Application of Characteristic Polynomial

2012 ◽  
Vol 490-495 ◽  
pp. 3516-3521 ◽  
Author(s):  
Jin Song Pan
Keyword(s):  
Characteristic Polynomial ◽  
Order Reduction ◽  
High Order ◽  
Reduction Theorem ◽  
Polynomial Method ◽  
Transform Method ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Realistic Significance ◽  
Homogeneous Linear

Through the introduction to the properties of characteristic polynomial, the order reduction theorem of the characteristic polynomial as well as its application in high order matrix is studied, and also a simplified method (characteristic polynomial method), which is used to solve the particular integral of the non-homogeneous linear differential equation with constant coefficients, is proposed in this paper. It is simpler than coefficient comparison and Laplace transform method, and also is of greater realistic significance for the differential equations with high order number and terms number.

Efficient Treatment of Fixed and Induced Dipolar Interactions

2000 ◽  
Vol 653 ◽  
Author(s):  
Celeste Sagui ◽  
Thoma Darden
Keyword(s):  
Molecular Dynamics ◽  
Md Simulations ◽  
Lagrangian Formalism ◽  
Dipolar Interactions ◽  
Time Step ◽  
Efficient Treatment ◽  
Particle Mesh Ewald ◽  
Fixed Charges ◽  
Self Consistency ◽  
Induced Dipoles

AbstractFixed and induced point dipoles have been implemented in the Ewald and Particle-Mesh Ewald (PME) formalisms. During molecular dynamics (MD) the induced dipoles can be propagated along with the atomic positions either by interation to self-consistency at each time step, or by a Car-Parrinello (CP) technique using an extended Lagrangian formalism. The use of PME for electrostatics of fixed charges and induced dipoles together with a CP treatment of dipole propagation in MD simulations leads to a cost overhead of only 33% above that of MD simulations using standard PME with fixed charges, allowing the study of polarizability in largemacromolecular systems.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

Malware detection based on attributes order reduction

2011 ◽  
Vol 31 (4) ◽  
pp. 1006-1009
Author(s):  
Ning GUO ◽  
Xiao-yan SUN ◽  
He LIN ◽  
Hua MOU
Keyword(s):  
Malware Detection ◽  
Order Reduction
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