The topic of this work is a proposal of adaptive numerical methods for the nonlinear boundary value problem for ordinary differential equations. The first part of my speech ...

The relatively young Monte Carlo method has been finding its way into more and more undergraduate courses in recent years. While the Monte Carlo method provides a relatively ...

With the aid of a new complete scalar potential function, an analytical formulation for thermoelastic Green’s functions of an axisymmetric linear elastic isotropic ...

A study investigating the possibilities of using the program Mathematica to obtain analytical solutions of plane structures is presented. Two typical applications are ...

We develop a general method for analyzing the renormalization group equations (RGE's) to one-loop and two-loop order in grand unified theories (GUT's) which can have an ...

A novel functional method is applied to calculate the statistics of a passive scalar in an isotropic turbulent velocity field. The method yields asymptotic series expansions ...

The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations. Unfortunately, many textbook treatments of the topic are ...

We introduce a double power series method for finding approximate analytical solutions for systems of differential equations commonly found in cosmological perturbation ...

Strategies for reducing the effect of cumulative rounding errors in geometric numerical integration are outlined. The focus is, in particular, on the solution of separable ...

The validity of Lagrangian functional for linear dissipative oscillator is checked by using it as a tool for approximate solutions via direct methods of variational calculus. ...