A novel central compact finite|difference scheme for third derivatives ...

A novel central compact finite-difference scheme for third derivatives ...

In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes.

A novel central compact finite-difference scheme for third derivatives ...

In comparison to the traditional compact interpolation method, this proposed approach effectively eliminates the introduction of transfer errors ...

a novel central compact finite-difference scheme for third derivatives ...

Through systematic Fourier analysis and numerical tests, we observe that the schemes have excellent properties of high order, high resolution ...

A novel central compact finite-difference scheme for third derivatives ...

The authors propose a novel central compact scheme that leverages both cell node and cell center function values to achieve superior spectral resolution for ...

A new central compact finite difference scheme with high spectral ...

A central compact finite difference method with high order accuracy is presented. This method is designed for the acoustic-wave equation.

A new class of central compact schemes with spectral-like resolution I

A novel central compact finite-difference scheme for third derivatives with high spectral resolution · Lavanya V SalianSamala RathanDebojyoti Ghosh.

Compact finite difference - Wikipedia

The compact finite difference formulation, or Hermitian formulation, is a numerical method to compute finite difference approximations.

A combined compact finite difference scheme for solving the ...

The compactness of the scheme is obtained by the so-called combined finite difference method, which utilizes the boundary values of the spatial ...

A novel transformation free nonuniform higher order compact finite ...

This paper presents a newly developed higher order compact scheme that is designed on a polar grid by using an implicit form of first order derivatives on ...

Algorithm 986: A Suite of Compact Finite Difference Schemes

Tenth-order accurate compact finite difference schemes for first and second derivative approximations and sixth-order accurate compact finite difference schemes ...

A novel approach to evaluating compact finite differences and ...

In the evaluation of spatial derivatives, the above schemes are referred. 3. Page 14. to as explicit schemes, as the derivative at each point can be expressed ...

Prefactored optimized compact finite-difference schemes for second ...

... The high-order compact FD scheme is employed to numerically approximate the spatial derivatives [37, 41, 42]. For simplicity, we only ...

High-order, stable, and conservative boundary schemes for central ...

Coefficients for first derivative compact fi- nite differences approximation of order. 2(p + s) given by Eq. (6) . ( s, p) δ1 γ 1 γ 2 γ 3.

A new high-order compact finite difference scheme based on ...

One scheme is a modification of the compact finite difference scheme of precise integration method (CFDS-PIM) based on the fourth-order Taylor ...

Prefactored optimized compact finite-difference schemes for second ...

This property guarantees that the original optimized compact scheme can be completely recovered after the summation of the forward and backward finite ...

Application of High-Order Compact Difference Schemes for Solving ...

In this paper, high-order compact-difference schemes involving a large number of mesh points in the computational stencils are used to numerically solve ...

Compact Finite Difference Schemes - Per-Olof Persson

Consider a uniformly spaced mesh xi = hi with given function values fi = f(xi). Seek approximations to the first derivative at the nodes f/.

Brief Summary of Finite Difference Methods

... compact (implicit) 4th order accurate formula for the second derivative ... He, A family of fourth-order and sixth-order compact difference schemes for the three- ...

A Family of Sixth‐Order Compact Finite‐Difference Schemes for the ...

We derive a family of sixth-order compact finite-difference schemes for the three-dimensional Poisson′s equation.

A Family of Sixth-Order Compact Finite-Difference Schemes for the ...

derivatives of the equation about the center of the three-dimensional compact difference stencil. Higher-order compact finite-difference schemes for ...