Lining structures are commonly used for roadway support in engineering practice; however, the method of determining the geometric parameters of lining structures should be properly addressed. On the ...

Numerical algorithms are procedures that solve mathematical problems using numerical methods, such as approximation, iteration, interpolation, and integration. They are widely used in scientific ...

The time-dependent one-dimensional nonlinear Schrödinger equation (NLSE) is solved numerically by a hybrid pseudospectral-variational quantum algorithm that connects a pseudospectral step for the ...

Abstract: This paper is concerned with the numerical approximation of a nonlinear convection–reaction–diffusion equation with distributed delay. Using the stable recovery, we convert the original ...

Numerical solutions are approximate answers to mathematical problems that cannot be solved exactly by analytical methods. They are often used in scientific computing, engineering, and other fields ...

Abstract: Since coming out, novel composition test functions have received wide attention from evolutionary computation researchers and have now become the target functions for numerical optimization ...

Numerical methods are a collection of techniques used to find approximate solutions to mathematical problems that cannot be solved exactly. These methods are essential for tackling complex equations ...

This is the repository of course materials for the 18.335J/6.7310J course at MIT, taught by Dr. Shi Chen, in Spring 2025. Topics: Advanced introduction to numerical linear algebra and related ...

This work is based on the seminar titled ‘Resiliency in Numerical Algorithm Design for Extreme Scale Simulations’ held March 1–6, 2020, at Schloss Dagstuhl, that was attended by all the authors.

The goal of a numerical optimization problem is to find a vector of values that minimizes some cost function. The most fundamental example is minimizing the Sphere Function f(x0, x1, .. xn) = x0^2 + ...