Numerical methods are the backbone of modern engineering and science. They provide computational techniques to approximate solutions for mathematical problems that are too complex, time-consuming, or ...

Abstract: Time-domain indirect methods based on Lyapunov stability theory and linear matrix inequality techniques (LMIs) have been applied for delay-dependent stability analysis of large-scale load ...

An important characterization of a numerical method for first order ODE's is the region of absolute stability. If all eigenvalues of the linear problem y' = Ay are inside this region, the numerical ...

/src ├── notebooks/ # Jupyter Notebooks with analyses │ ├── numerical_basics.ipynb │ ├── optimization_and_polynomial_fitting.ipynb │ └── inverseproblems_and_imaging.ipynb │ ├── src/ # Reusable Python ...

In this article, we have presented a novel and unified numerical strategy for addressing the Benjamin-Bona-Mahony (BBM) type partial differential equations with the use of the Fibonacci wavelets and ...

Video stabilisation techniques and algorithms are pivotal in mitigating the effects of undesired camera motion and vibrations, thereby enhancing the visual quality of dynamic imagery. These methods ...

Abstract: This paper proposes an algorithm that combines time and frequency domain methods to compute the time-domain response of Nabla fractional order systems. The algorithm first uses ...