A Computational Solution for a Matrix Riccati Differential Equation.
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.
A theorem on continuous dependence on a parameter
Algorithm 87. A procedure realizing a fourth order one-step method for solving a system of ordinary differential equations
Algorithm 89. A procedure realizing a fourth order one-step method for solving a system of ordinary differential equations of the form y''=f(x,y,y')
Algorithm 90. A procedure realizing a second order one-step method solving a system of ordinary differential equations
Algorithms 85-86. Two realizations of the trapezoidal method for solving the initial value problem
Algorithms 91-92. Two one-step methods with a given parameter
An algorithm for detecting “linear” solutions of nonlinear polynomial differential equations.
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
A class of degree four differential systems that have an invariant conic , , is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Error analysis of Adomian series solution to a class of nonlinear differential equations.
FLENS - a flexible library for efficient numerical solutions
Increase of accuracy in machine computation of some differential equations having variable coefficients and of some nonlinear differential equations
Initial-value methods for computing eigenvalues of two point boundary value problem
Massive parallel implementation of ODE solvers
The presented contribution maps the possibilities of exploitation of the massive parallel computational hardware (namely GPU) for solution of the initial value problems of ordinary differential equations. Two cases are discussed: parallel solution of a single ODE and parallel execution of scalar ODE solvers. Whereas the advantages of the special architecture in the case of a single ODE are problematic, repeated solution of a single ODE for different data can profit from the parallel...
Numerical and symbolic applications of MATHEMATICA.
O nejednoznačnosti řešení soustavy diferenciálních rovnic
On a certain modification of the theorem on the continuous dependence on a parameter
On some assumptions of the theorem on the continuous dependence on a parameter
The effect of a spatial variable on the criticality of a boundary value problem