In order to promote the practical application of the Rogowski coil-based electronic
transformers, it is of great necessity to handle the issues associated with the measurement …

Boltzmann solvers face significant difficulty in simulating rarefied flows at high Knudsen
numbers. In this flow regime, the gas distribution function is widely scattered and highly …

A new family of numerical integration formula of closed Newton–Cotes-type is presented,
that uses both the function value and the derivative value on uniformly spaced intervals …

The increasing number of disruptions to critical infrastructure, like natural disasters, terrorist
attacks or internal failure is today a major problem of society. Concern is even greater when …

Quantum algorithms have shown their superiority in many application fields. However, a
general quantum algorithm for numerical integration, an indispensable tool for processing …

A novel family of numerical integration of closed Newton‐Cotes quadrature rules is
presented which uses the derivative value at the midpoint. It is proved that these kinds of …

Among all integration rules with n points, it is well-known that n-point Gauss–Legendre
quadrature rule [Formula: see text] has the highest possible precision degree and is …

This study, which examines a calculation method on the basis of a dual neural network for
solving multiple definite integrals, addresses the problems of inefficiency, inaccuracy, and …

A new family of numerical integration formula is presented, which uses the function
evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the …

Some new families of open Newton‐Cotes rules which involve the combinations of function
values and the evaluation of derivative at uniformly spaced points of the interval are …