extended into the Extended Discrete Element Method taking heat transfer, chemical reaction and coupling to CFD and FEM into account. Discrete element...

The extended discrete element method (XDEM) is a numerical technique that extends the dynamics of granular material or particles as described through...

Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs, finite element meshes, and...

Computational magnetohydrodynamics Discrete element method Fictitious domain method Finite element method Finite volume method for unsteady flow Fluid animation...

which the elements can move freely relative to each other Extended discrete element method — adds properties such as strain to each particle Movable cellular...

the affine function in the simplex. The mixed finite element method consists in defining two discrete spaces, one for the approximation of ∇ u ¯ {\displaystyle...

Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. These methods were developed around 1900...

{\displaystyle \gcd(a,m)=1} . Discrete logarithms are quickly computable in a few special cases. However, no efficient method is known for computing them...

Laplacian, obtained by the finite-difference method or by the finite-element method, can also be called discrete Laplacians. For example, the Laplacian in...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

references. Discrete element method Divided differences Finite difference coefficient Finite difference method Finite element method Finite volume method Numerical...

overlap–save is the traditional name for an efficient way to evaluate the discrete convolution between a very long signal x [ n ] {\displaystyle x[n]} and...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes...

In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary...

domain methods, and frequency (spectral) domain methods are available for the numerical solution of the discretized master equation. Upon discretization into...

{\displaystyle \Omega } . Therefore, upon finite element method (FEM) discretization, the discrete Lagrange multiplier λ h {\displaystyle \mathbf {\lambda...

efficient than volume-discretization methods (finite element method, finite difference method, finite volume method). Boundary element formulations typically...

The lumped-element model (also called lumped-parameter model, or lumped-component model) is a simplified representation of a physical system or circuit...

Diffie–Hellman (DH) key exchange is a mathematical method of securely generating a symmetric cryptographic key over a public channel and was one of the...

derivatives. Similar to the finite difference method or finite element method, values are calculated at discrete places on a meshed geometry. "Finite volume"...

boundary conditions. This is done by using discrete meshes as in finite difference and finite element methods, often for the surface. The solutions are...

spectral methods for the numerical solution of partial differential equations. A DCT is a Fourier-related transform similar to the discrete Fourier transform...

In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest...

algorithm for computing the discrete logarithm or order of an element in a finite abelian group by Daniel Shanks. The discrete log problem is of fundamental...

interpolation methods are used to estimate the peak location in the cross-correlogram to non-integer values, despite the fact that the data are discrete, and this...

combinatorial questions and techniques can be extended to an infinite (specifically, countable) but discrete setting. Basic combinatorial concepts and enumerative...

the flexibility method is that the result error is independent of the discretization of the model and that it is indeed a very fast method. For instance...

example, in the context of the discrete-time Fourier transform (DTFT). In particular, the DTFT of the product of two discrete sequences is the periodic convolution...