This book provides ideas for implementing Wolfram Mathematica to solve linear integral equations. The book introduces necessary theoretical information about exact and ...

A technical-elective advanced graduate course on the numerical solution of nonlinear structural problems by finite element methods. This advanced course has been taught 5 ...

This presentation will show case the finite element method interface used within NDSolve and related functions. The fundamental stages of PDE solving will be introduced and ...

Based on Haar wavelets an efficient numerical method is proposed for the numerical solution of system of coupled Ordinary Differential Equations (ODEs) related to the natural ...

A new collocation method is presented which is able to calculate numerically the vibrations of clamped plates with no external load. The method works in Cartesian coordinates ...

There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity m of the required root is known in advance. Therefore, the first focus of ...

A method is introduced to calculate the UV-divergent parts at one-loop level in dimensional regularization. The method is based on the recursion, and the basic integrals are ...

In this study, different methods to teach and visualize the motion of a single degree of freedom system for engineering undergraduate and graduate students and professionals ...

A new half-explicit Runge-Kutta method for the numerical integration of differential-algebraic systems of index 2 is constructed. It is particularly efficient for the ...

Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products ...