Evaluation of overshooting errors in particle methods for diffusion by biased global random walk
Abstract The adjustment of grid steps which guarantees that particles methods yield no numerical diffusion inevitably induces overshooting errors in…
On the accuracy of Stoermer/Verlet method as the numerical integrator of the n-body problem – Application to solar system
Abstract The Newton-Störmer/Verlet-leapfrog method (S/V) is a symplectic and symmetric one of order two, which, when applied to separable Hamiltonian dynamical…
Numerical investigations on ergodicity of solute transport in heterogeneous aquifers
Abstract Darcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields.…
Evaluation of the first‐order approximations for transport in heterogeneous media
Abstract Longitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in…
Bilateral approximations of solutions of equations by order three Steffensen-type methods
Abstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…
Bilateral approximations of the roots of scalar equations by Lagrange-Aitken-Steffensen method of order three
Abstract We study the monotone convergence of two general methods of Aitken-Steffenssen type. These methods are obtained from the Lagrange…
On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations
Abstract It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled…