## What is/are Interpolating Moving?

Interpolating Moving - The test and trial functions for the interpolating element-free Galerkin technique have been chosen from the interpolating moving least squares approximation.^{[1]}The algorithms are based on a local interpolating moving least-squares methodology and have many advanced features such as iterative refinement and symmetry recognition.

^{[2]},In the time-fractional diffusion equation, the time fractional derivatives are approximated by L1 method, and the shape functions are constructed by the interpolating moving least-squares (IMLS) method.

^{[3]}In this paper, we propose a numerical method to solve the elliptic stochastic partial differential equations (SPDEs) obtained by Gaussian noises using an element free Galerkin method based on stabilized interpolating moving least square shape functions.

^{[4]}The method of interpolating moving least squares (IMLS) was used to construct 4D analytical PESs.

^{[5]}A new variant of the MLS approximation scheme, namely interpolating moving least squares scheme, possesses Kronecker delta property.

^{[6]}An improved interpolating moving least-square (IIMLS) method is applied to approximate the field in parameter space, and the boundary nodes can be defined using Greville abscissae definition.

^{[7]}Since the shape functions of the improved interpolating moving least-squares (IIMLS) method satisfy the delta function property, the essential boundary conditions, as a result, can be enforced accurately without any additional efforts.

^{[8]}By using the improved interpolating moving least squares method to form meshless shape functions, mixed boundary conditions in the BEFM can be satisfied directly and easily.

^{[9]}The improved interpolating moving least-square (IIMLS) method has been widely used in data fitting and meshfree methods, and the obtained shape functions have the property of the delta function, compared with those obtained by the moving least-square (MLS) method.

^{[10]}The modified improved interpolating moving least squares (MIIMLS) method for meshless approaches has been developed.

^{[11]}The interaction energies are fitted using an interpolating moving least squares method, and this potential is refitted using a partial wave expansion based on spherical harmonics.

^{[12]}

## Improved Interpolating Moving

An improved interpolating moving least-square (IIMLS) method is applied to approximate the field in parameter space, and the boundary nodes can be defined using Greville abscissae definition.^{[1]}Since the shape functions of the improved interpolating moving least-squares (IIMLS) method satisfy the delta function property, the essential boundary conditions, as a result, can be enforced accurately without any additional efforts.

^{[2]}By using the improved interpolating moving least squares method to form meshless shape functions, mixed boundary conditions in the BEFM can be satisfied directly and easily.

^{[3]}The improved interpolating moving least-square (IIMLS) method has been widely used in data fitting and meshfree methods, and the obtained shape functions have the property of the delta function, compared with those obtained by the moving least-square (MLS) method.

^{[4]}The modified improved interpolating moving least squares (MIIMLS) method for meshless approaches has been developed.

^{[5]}

## interpolating moving least

The test and trial functions for the interpolating element-free Galerkin technique have been chosen from the interpolating moving least squares approximation.^{[1]}The algorithms are based on a local interpolating moving least-squares methodology and have many advanced features such as iterative refinement and symmetry recognition.

^{[2]},In the time-fractional diffusion equation, the time fractional derivatives are approximated by L1 method, and the shape functions are constructed by the interpolating moving least-squares (IMLS) method.

^{[3]}In this paper, we propose a numerical method to solve the elliptic stochastic partial differential equations (SPDEs) obtained by Gaussian noises using an element free Galerkin method based on stabilized interpolating moving least square shape functions.

^{[4]}The method of interpolating moving least squares (IMLS) was used to construct 4D analytical PESs.

^{[5]}A new variant of the MLS approximation scheme, namely interpolating moving least squares scheme, possesses Kronecker delta property.

^{[6]}An improved interpolating moving least-square (IIMLS) method is applied to approximate the field in parameter space, and the boundary nodes can be defined using Greville abscissae definition.

^{[7]}Since the shape functions of the improved interpolating moving least-squares (IIMLS) method satisfy the delta function property, the essential boundary conditions, as a result, can be enforced accurately without any additional efforts.

^{[8]}By using the improved interpolating moving least squares method to form meshless shape functions, mixed boundary conditions in the BEFM can be satisfied directly and easily.

^{[9]}The improved interpolating moving least-square (IIMLS) method has been widely used in data fitting and meshfree methods, and the obtained shape functions have the property of the delta function, compared with those obtained by the moving least-square (MLS) method.

^{[10]}The modified improved interpolating moving least squares (MIIMLS) method for meshless approaches has been developed.

^{[11]}The interaction energies are fitted using an interpolating moving least squares method, and this potential is refitted using a partial wave expansion based on spherical harmonics.

^{[12]}