The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

In “Straight Talk with Rick and Jal,” Harvard University’s Jal Mehta and I examine the reforms and enthusiasms that permeate education. In a field full of buzzwords, our goal is simple: Tell the truth ...

Abstract: The irregular surface topography has significant effects on seismic wave propagation, including introduction of free surface-related multiples, strong scattering, and distortion of the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

ABSTRACT: A posteriori error computations in the space-time coupled and space-time decoupled finite element methods for initial value problems are essential: 1) to ...

This study presents a novel method for wideband acoustic analysis using the Boundary Element Method (BEM), addressing significant computational challenges. Traditional BEM requires repetitive ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

Solution of nonlinear two-point boundary-value problems is often an extremely difficult task. Quite apart from questions of reality and uniqueness, there is no established numerical technique for this ...