[HTML][HTML] A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source
Up to now, studies on the semi-linear Cauchy problem for elliptic partial differential
equations needed to assume that the source term present in the governing equation is a …
equations needed to assume that the source term present in the governing equation is a …
An accurate and efficient numerical method for neural field models with transmission delays
Based on the recently developed localized radial basis function collocation method
(LRBFCM) and exponential time differencing (ETD) method, we derive in this paper an …
(LRBFCM) and exponential time differencing (ETD) method, we derive in this paper an …
[HTML][HTML] A radial basis function partition of unity method for steady flow simulations
A methodology is presented for the numerical solution of nonlinear elliptic systems in
unbounded domains, consisting of three elements. First, the problem is posed on a finite …
unbounded domains, consisting of three elements. First, the problem is posed on a finite …
A new radial basis function approach based on hermite expansion with respect to the shape parameter
Owing to its high accuracy, the radial basis function (RBF) is gaining popularity in function
interpolation and for solving partial differential equations (PDEs). The implementation of …
interpolation and for solving partial differential equations (PDEs). The implementation of …