Chebyshevian Multistep Methods for Ordinary Differential Equation.
Collocation methods for differential-algebraic equations of index 3.
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...
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.
Cryptohermitian picture of scattering using quasilocal metric operators.