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Study of 3D MPFEM simulation for high-velocity compaction of 2024 al alloy powders. [PDF]

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Yuan X   +7 more
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Wavelet-optimized compact finite difference method for convection–diffusion equations

International Journal of Nonlinear Sciences and Numerical Simulation, 2020
Abstract In this article, compact finite difference approximations for first and second derivatives on the non-uniform grid are discussed. The construction of diffusion wavelets using compact finite difference approximation is presented.
Mani Mehra   +2 more
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Two‐dimensional compact finite difference immersed boundary method

International Journal for Numerical Methods in Fluids, 2011
AbstractWe present a compact finite differences method for the calculation of two‐dimensional viscous flows in biological fluid dynamics applications. This is achieved by using body‐forces that allow for the imposition of boundary conditions in an immersed moving boundary that does not coincide with the computational grid.
Ferreira de Sousa, Paulo J. S. A.   +2 more
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Compact finite difference method for integro-differential equations

Applied Mathematics and Computation, 2006
The paper is concerned with developing a method for the approximate solution of (Fredholm) integro-differential equations. The authors remark that the method proposed can also be applied to Volterra equations. The starting point is a compact finite difference scheme for the second order derivatives.
Zhao, Jichao, Corless, Robert M.
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Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method

Journal of Scientific Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao Jin, Fei Liao, Jinsheng Cai
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Compact fourth-order finite difference method for solving differential equations

Physical Review E, 2001
We present a fourth-order finite difference (FD) method for solving two-dimensional partial differential equations. The FD operator uses a compact nine-point stencil on a regular square grid. Despite the regular grid, Dirichlet boundary conditions can be applied on an arbitrarily shaped boundary without resorting to the usual stepped approximation.
P B, Wilkinson   +4 more
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