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Reduction of Protein Networks Models by Passivity Preserving Projection

Luca Mesin, Flavio Canavero, Lamberto Rondoni
2013 Communications in Theoretical Physics  
The mathematical structure of the considered kinetic equations is preserved. Keeping constant the reduction factor, the approximation error is lower for larger systems.  ...  The accuracy of a passivity preserving algorithm (PRIMA) for model order reduction (MOR) is here tested on protein networks, introducing innovative variations of the standard PRIMA method to fit the problem  ...  Acknowledgments We are grateful to the anonymous referees for useful remarks and to Irene Donato for producing the graphical representation of the biochemical reaction of Appendix A.  ... 
doi:10.1088/0253-6102/60/2/18 fatcat:fnkw2frsdvdy3lsqlnbxptykqq

A STUDY OF SOLVING SYSTEM OF LINEAR EQUATION USING DIFFERENT METHODS AND ITS REAL LIFE APPLICATIONS:

Khushbu Kumari, Department of Mathematics, Chandigarh University, Gharaun, Mohali, Punjab., R K Poonia, Department of Mathematics, Chandigarh University, Gharaun, Mohali, Punjab.
2021 Journal of University of Shanghai for Science and Technology  
an equivalent one but with a triangular matrix, thus allowing a simpler resolution, Other methods can be more effective in solving system of the linear equation like Gauss Elimination or Row Reduction  ...  Solving a system of linear equations (or linear systems or, also simultaneous equations) is a common situation in many scientific and technological problems.  ...  HISTORY: System of equation arose in Europe with the introduction in 1637 by Rene Descartes. System of linear equation is given by different-different mathematicians.  ... 
doi:10.51201/jusst/21/07197 fatcat:6pcymzfwujdxjie3yfjwcarlqm

Solutions of reaction-diffusion equations using similarity reduction and HSSOR iteration

Nur Afza Mat Ali, Rostang Rahman, Jumat Sulaiman, Khadizah Ghazali
2019 Indonesian Journal of Electrical Engineering and Computer Science  
<p>Similarity method is used in finding the solutions of partial differential equation (PDE) in reduction to the corresponding ordinary differential equation (ODE) which are not easily integrable in terms  ...  Then, the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is applied in solving the sparse linear system which is generated from the discretization process of the corresponding second order  ...  ACKNOWLEDGEMENTS This work is supported by the research grant scheme (GUG0225-1/2018) from Universiti Malaysia Sabah, Malaysia for the completion of this paper.  ... 
doi:10.11591/ijeecs.v16.i3.pp1430-1438 fatcat:dfhuhg3aqnaz3gvxxnxvmygmgm

An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations

G. Horton, S. Vandewalle, P. Worley
1995 SIAM Journal on Scientific Computing  
The algorithm is a variant of the multigrid waveform relaxation method where the scalar ordinary differential equations that make up the kernel ofcomputation are solved using a cyclic reduction-type algorithm  ...  This paper describes an algorithm for the time-accurate solution of certain classes of parabolic partial differential equations that can be parallelized in both time and space.  ...  , Sankt-Augustin, Germany, for letting them use the CM/2 machine at the GMD.  ... 
doi:10.1137/0916034 fatcat:66o4yawudfabzhxsx65pwdk6dm

Solving System of Linear Equations in Parallel using Multithread

2017 International Journal of Innovations in Engineering and Technology  
This paper deals with the efficient parallel algorithms for solving linear equations using multithread. Since using Multi thread, each thread represent one processor, execution time is minimized.  ...  Here the compare Time Complexity and Processor Complexity. Finally we conclude that the parallel algorithm performance better than the sequential algorithm.  ...  INTRODUCTION Solving the system of linear equations is probably one of the most visible applications of Linear Algebra.  ... 
doi:10.21172/ijiet.91.08 fatcat:kl5ckzmwh5b2bgug5kmz5nmhse

On the Classification of Systems of Linear Equations

Arthur Ranum
1910 The American mathematical monthly  
Since no two of the equations S involve the same unknowns, those on the left being different in every case, therefore the reduction in rank caused by the omission of the coefficients of (a) all, or (b)  ...  amount of the reduction is one unit.  ... 
doi:10.2307/2973853 fatcat:6izw3a4by5hr5czmigvyd7jfqa

Page 1717 of Mathematical Reviews Vol. 45, Issue 6 [page]

1973 Mathematical Reviews  
of parameters the bounds of the spectrum of the matrix of the system of difference equations.  ...  All the results carry over to the case of solvable systems of difference equations with symmetric nonnegative matrices (instead of the least eigenvalue he takes the first one that is different from zero  ... 

Darboux and binary Darboux transformations for discrete integrable systems I. Discrete potential KdV equation

Ying Shi, Jonathan J C Nimmo, Da-jun Zhang
2013 Journal of Physics A: Mathematical and Theoretical  
We discuss reductions of both systems to the discrete KdV and discrete potential KdV equations, respectively, and exploit this connection to find the Darboux and binary Darboux transformations and exact  ...  solutions of these equations.  ...  For both equations, we give two different associated linear systems and their corresponding auxiliary linear systems in differential-difference form.  ... 
doi:10.1088/1751-8113/47/2/025205 fatcat:4imuihurq5d6tayb6srtctzkji

Efficient Model Order Reduction of Structural Dynamic Systems with Local Nonlinearities under Periodic Motion

M. Mohammadali, H. Ahmadian
2014 Shock and Vibration  
An exact condensation technique based on the harmonic balance method (HBM) in conjunction with the modal expansion technique is employed to convert the motion equations of such a system to a set of nonlinear  ...  In many nonlinear structural systems, compared with the local regions with induced nonlinear effects, the main portions of the structures are linear.  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper.  ... 
doi:10.1155/2014/152145 fatcat:bbws4lmm4ng47nc55vtgz4jcha

Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations [article]

M. Legare
2000 arXiv   pre-print
Noncommutative extensions of their linear systems and bicomplexes associated to conserved quantities are discussed.  ...  (NS) equations, of the super-Korteweg- de Vries (super-KdV) as well as of the matrix KdV equations.  ...  ditions of the linear system (2.8), and provide the (A-)SDYM equations on the respective space for the linear systems (2.2), (2.3), (2.5).  ... 
arXiv:hep-th/0012077v1 fatcat:3juueykzsvhlhl6gi2ynikptr4

Direct "Delay" Reductions of the Toda Equation [article]

Nalini Joshi
2008 arXiv   pre-print
The representative equation of this class is hypothesized to be a new version of one of the classical Painlev\'e equations. The Lax pair associated to this equation is obtained, also by reduction.  ...  A new direct method of obtaining reductions of the Toda equation is described. We find a canonical and complete class of all possible reductions under certain assumptions.  ...  We focus on reductions to equations involving only one independent variable 1.1. Background. Symmetry reductions of differential-difference equations have been studied by many authors.  ... 
arXiv:0810.5581v1 fatcat:h3hudvvw6na3daxfxguidmok3y

A Maple package for computing Gröbner bases for linear recurrence relations

Vladimir P. Gerdt, Daniel Robertz
2006 Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment  
The package can be used, for example, for automatic generation of difference schemes for linear partial differential equations and for reduction of multiloop Feynman integrals.  ...  These two possible applications are illustrated by simple examples of the Laplace equation and a one-loop scalar integral of propagator type  ...  ACKNOWLEDGEMENTS The authors are grateful to Vladimir Smirnov for useful discussion, comments and suggestions on the example of Section 4.  ... 
doi:10.1016/j.nima.2005.11.171 fatcat:ybloomrugbghvcxzbihsh66khu

Regular systems of linear functional equations and applications

Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
2008 Proceedings of the twenty-first international symposium on Symbolic and algebraic computation - ISSAC '08  
In this paper, we generalise these concepts to the general class of systems of linear functional equations.  ...  Algorithms have subsequently been given for other forms of systems such as linear difference systems [4, 3] and the perturbed algebraic eigenvalue problem [17] .  ...  INTRODUCTION In this paper, we are concerned with the class of systems of linear functional equations which comprise common types of systems such as linear differential or linear (q−)difference systems  ... 
doi:10.1145/1390768.1390774 dblp:conf/issac/BarkatouBP08 fatcat:awn4k4yfobeczeezlne2cjtjja

Direct 'delay' reductions of the Toda equation

Nalini Joshi
2008 Journal of Physics A: Mathematical and Theoretical  
The representative equation of this class is hypothesized to be a new version of one of the classical Painlevé equations. The Lax pair associated to this equation is obtained, also by reduction.  ...  A new direct method of obtaining reductions of the Toda equation is described. We find a canonical and complete class of all possible reductions under certain assumptions.  ...  We focus on reductions to equations involving only one independent variable 1.1. Background. Symmetry reductions of differential-difference equations have been studied by many authors.  ... 
doi:10.1088/1751-8113/42/2/022001 fatcat:rbdj4wcgarg3tk44ypj3loybfe

Analysis of a tuned liquid column damper in non-linear structures subjected to seismic excitations

Gilda Espinoza, Carlos Carrillo, Alvaro Suazo
2018 Latin American Journal of Solids and Structures  
The structure is modeled as a system of one degree of freedom with incursion in the non-linear range. The Bouc-Wen hysteretic model is used to model the non-linear behavior of the structure.  ...  Two target functions were considered, (i) reduction of the main displacement of the system, (ii) reduction of the hysteretic energy.  ...  Eric Forcael from the Civil and Environmental Engineerig Department of the University of Bio-Bio. His helpful comments are deeply appreciated.  ... 
doi:10.1590/1679-78254845 fatcat:suh4rpxo2bdd7pensa5ivkw7we
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