Sentence examples for based on integral equations from inspiring English sources

We first formulate a regularized kernel reconstruction approach based on integral equations in Sect.

As a result we obtain a direct and flexible basic existence proof for a delay neural field equation, which includes a constructive method based on integral equations only.

Based on integral equations and on the obtained viscoelectroelastic interfacial operators closed form expressions of the concentration tensors for viscoelectroelastic composites are derived.

This paper presents a mathematical model based on integral equations for numerical investigations of stability analyses of damped beams subjected to subtangential follower forces.

The resulting expansions can be used to appropriately choose the ansatz in the design of high-frequency numerical solvers, such as those based on integral equations, in order to produce more accurate approximation of the solutions around the shadow and the deep shadow regions than the ones based on the usual ansatz.

Based on integral equation method, the study of unsteady supercavitating flow past cones is presented.

This review discusses two popular computational approaches addressing these questions, namely WaterMap based on statistical mechanics analysis of MD simulations and 3D RISM based on integral equation theory of liquids.

The solution method is based on integral transforms and singular integral equations.

Chaudhury [6] followed Watson [5] and solved the energy equation, based on integral analysis, taking into consideration the viscous dissipation.

The evaluation of acoustic fields induced in inhomogeneous spheres by external sources, based on volume integral equations, is simplified considerably using Ivakin's integral equation and the use of the well-known expansion for the Green dyadic.

The problem formulation is based on singular integral equations, resulted from a treatment of the mixed boundary value problems via integral transforms and generalized functions.