The convex interpolation of histogram by polynomial splines: The existence theorem
Some algorithm for testing convexity of histogram
Some algorithms for quartic smoothing splines
Dirichlet boundary value problem for an impulsive forced pendulum equation with viscous and dry frictions
Sufficient conditions are given for the solvability of an impulsive Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and dry frictions. Apart from the solvability, also the explicit estimates of solutions and their derivatives are obtained. As an application, an illustrative example is given, and the corresponding numerical solution is obtained by applying Matlab software.
Interior point algorithms for 3D contact problems
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