Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Chebyshevian Multistep Methods for Ordinary Differential Equation.
Chord Techniques and Newton's Method for Discrete Bifurcation Problems.
Collocation and Residual Correction.
Collocation for Systems of Boundary Value Problems.
Collocation methods for differential-algebraic equations of index 3.
Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.
Comparing numerical integration schemes for a car-following model with real-world data
A key element of microscopic traffic flow simulation is the so-called car-following model, describing the way in which a typical driver interacts with other vehicles on the road. This model is typically continuous and traffic micro-simulator updates its vehicle positions by a numerical integration scheme. While increasing the order of the scheme should lead to more accurate results, most micro-simulators employ the simplest Euler rule. In our contribution, inspired by [1], we will provide some additional...
Comparing Routines for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations in Multiple Shooting .
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.
Comparison of the factorization method and the method of combination of solutions
Computable error bounds for collocation methods.
Computable error bounds with improved applicability conditions for collocation methods.
Computation and continuation of quasiperiodic solutions
Computation of displacements for nonlinear elastic beam models using monotone iterations.
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Computing with Laguerre polynomials.
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.