Abstract: The significant numerical chattering hinders control applications of the twisting algorithm in digital environments. Previous implicit discrete-time implementation algorithms have the ...
Mathematics has always been central to my academic growth, shaping my understanding of complex phenomena. My two elder brothers, Mr. Femi and Mr. Wemimo, played a key role in nurturing my mathematical ...
There has been a growing interest in efficient numerical algorithms based on tensor networks and low-rank techniques to approximate high-dimensional functions and compute the numerical solution of ...
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 ...
Generic transport equations, comprising time-dependent partial differential equations (PDEs), delineate the evolution of extensive properties in physical systems, encompassing mass, momentum, and ...
Partial differential equations (PDEs) are required for modeling dynamic systems in science and engineering, but solving them accurately, especially for initial value problems, remains challenging.
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 ...
The hacker responsible for roiling Euler Finance by draining some $200 million of assets has returned all “recoverable funds,” the decentralized lending platform tweeted late Monday. Blockchain data ...
ABSTRACT: The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit ...
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