Sentence examples for by three differential operators from inspiring English sources
Discretization process of the mathematical model is greatly simplified by three differential operators that are defined to represent the expressions of divergence, gradient and average as their original forms, and thus, enable rapid prototyping of the numerical model.
Since the operator λ 2 − Δ can not be factorized into the product of two differential operators of first order in H ( R ), the quaternion function theory about modified Helmholtz equation was developed in complex quaternion space H ( C ), namely the operator λ 2 + Δ, λ ∈ C and some related equations were directly investigated by H ( C ).
Our biggest contribution is a smoothing operator entirely based on three canonical differential operators: namely the Laplacian, gradient and divergence.
Differential equations governed by nonlinear differential operators have been widely studied.
This is in contrast with the usual elliptic partial differential equations, which are governed by local differential operators like the Laplace operator.
The models which can be obtained by investigating differential operators on the graphs have both features of ordinary and partial differential operators.
This paper is devoted to the study of contraction semigroups generated by linear partial differential operators.
By use of two kinds of surface differential operators, the implementation of boundary conditions on a plane is generalized to a curved smooth surface with given velocity distribution, whether this be an inflow/outflow interface or a curved wall.
Let us denote by the vector function and by and the following differential operators (2.13).
