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In this paper, we consider a Cauchy problem for the Helmholtz equation at fixed frequency, especially we give the optimal error bound for the ill-posed problem ...

Abstract: In this article, we propose a model predictive control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

With the advancement of human societal activities, it is increasingly challenging to satisfy growing demands with limited land resources and space. Consequently, mankind has shifted its focus towards ...

Abstract: An approximate computational model of an electromagnetic pulse-excited thin-wire antenna is developed. The presented solution methodology is based on the Cagniard–DeHoop method of moments ...

It’s impossible to build an investment plan without estimating returns. This estimate of returns determines your need to take risk—how high an allocation to equities you will need to reach your goal.

When an object is given an initial velocity and is affected by gravitational acceleration and air resistance, it follows a specific path known as projectile motion. Athletes often perform this type of ...