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Using a Template Engine as a Computer Algebra ToolAbstract: In research problems that involve the use of numerical methods for solving systems
About Integrability of the Degenerate SystemWe study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular
About Integrability of the Degenerate SystemWe study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular
On the contact equivalence problem of second order ODEs which are quadratic with respect to the second order derivative of the pseudogroup of contact transformations. These conditions are formulated in terms of integrals of some one
Numerical solution error of stiff Cauchy problems on geometrically adaptive meshesThe concept of stiffness of ODE system is refined. Major difficulties arising in solution
Efficient Numerical Integration Methods for the Cauchy Problem for Stiff Systems of Ordinary Differential EquationsThe notion of stiffness of a system of ordinary differential equations is refined. The main
Adiabatic modes of a smoothly irregular waveguide: zero approximation of vector theory insignificantly on the distances of the order of wave length. The problem is, first, reduced to a coupled ODE
On New Integrals of the Algaba-Gamero-Garcia SystemWe study local integrability of a plane autonomous polynomial system of ODEs depending on five
Construction of Multidimensional Vector Fields Whose Projections Onto Coordinate Planes Have Given Topological Structures by autonomous systems of ordinary differential equations and have specified topological structures in specified
Modelling of dynamics of mechanical systems with regard for constraint stabilization of the system with regard for active forces and constraints restricted its movement. Desirable properties
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