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Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]

Sci Rep
Yousuf M, Alshakhoury N.
europepmc   +1 more source

Dynamic Properties in a Collisional Model for Confined Granular Fluids: A Review. [PDF]

Entropy (Basel)
Brito R, Soto R, Garzó V.
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Solution of Linear Systems of Ordinary Differential Equations on an INTEL Hypercube

SIAM Journal on Scientific and Statistical Computing, 1991
A parallel scheme for the solution of linear systems of ordinary initial value problems (1) \(y'=Ay+f(x)\), \(y(a)=y_ 0\), is developed and tested where \(y\) and \(f\) are \(n\)-dimensional vectors and \(A\) is an \(n\times n\) matrix. The solution is considered on an iPSC/2 INTEL hypercube which is a multiple instruction-multiple data machine ...
Levi Lustman, Beny Neta, C. P. Katti
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The Least Square Method for Systems of Linear Ordinary Differential Equations

Computational Mathematics and Mathematical Physics, 2019
The authors consider a boundary value problem for an overdetermined system of linear ordinary differential equations of first order. The given boundary conditions may also be redundant. Thus, the problem may have no solution. A variational approach is used to find generalized solutions which minimize some well-defined functionals.
Abramov, A. A., Yukhno, L. F.
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Integrable Systems of Linear Ordinary Differential Equations of General Order

Mathematical Notes, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the theory of linear systems of ordinary differential equations

Mathematical Notes of the Academy of Sciences of the USSR, 1968
Author's abstract of dissertation for the attainment of the scientific degree of Doctor of the Physical and Mathematical Sciences. Dissertation defended May 24, 1968 at the sitting of the Council of the Mechanical and Mathematical Faculty of the M. V. Lomonosov State University.Official opponents: Doctor of the Physical and Mathematical Sciences D.
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Algebraic linearization criteria for systems of ordinary differential equations

Nonlinear Dynamics, 2011
The authors give all possible algebras of dimension 4 connected with the linearization by general point transformation for a system of two second-order ODEs. These results complement and complete the work [\textit{C. W. Soh} and \textit{F. M. Mahomed}, Int. J. Non-Linear Mech. 36, No. 4, 671--677 (2001; Zbl 1345.34012)].
Ayub, Muhammad, Khan, Masood, Mahomed, F. M.   +2 more
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Symbolic methods for solving systems of linear ordinary differential equations

Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 2010
The main purpose of this tutorial is to present and explain symbolic methods for studying systems of linear ordinary differential equations with emphasis on direct methods and their implementation in computer algebra systems.
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Differential inequality theorem for a linear system of ordinary differential equations

Ukrainian Mathematical Journal, 1988
See the review in Zbl 0649.34020.
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Reduction of linear Hamiltonian systems of ordinary differential equations

AIP Conference Proceedings, 2015
This paper deals with the discussion of some approaches to analytical and numerical solutions of linear boundary value problems for Hamiltonian systems of ordinary differential equations. The discussed approaches are based on a general conception of reducing initial linear system to another, in a sense, simpler system.
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