Diffusion processes have emerged as promising approaches for sampling from complex distributions but face significant challenges when dealing with multimodal targets. Traditional methods based on ...
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 ...
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 ...
Euler Finance was exploited in a flash loan attack that drained hundreds of millions of decentralized stablecoins and synthetic ERC-20 tokens. Ethereum-based noncustodial lending protocol Eurler ...
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The presented methodology is based on coarse-grained representation of biomolecules in ...
In this work we present a class of high order unconditionally strong stability preserving (SSP) implicit two-derivative Runge--Kutta schemes and SSP implicit-explicit (IMEX) multi-derivative ...
Abstract: The significant numerical chattering hinders control applications of the twisting algorithm in digital environments. Previous implicit discrete-time implementation algorithms have the ...