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

Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of...

in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-independent generalization...

differential geometry, discrete exterior calculus, discrete Morse theory, discrete optimization, discrete probability theory, discrete probability distribution...

This article summarizes several identities in exterior calculus, a mathematical notation used in differential geometry. The following summarizes short...

which are piecewise linear finite elements, finite volumes, and discrete exterior calculus. To facilitate computation, the Laplacian is encoded in a matrix...

geometry processing and topological combinatorics. Discrete Laplace operator Discrete exterior calculus Discrete Morse theory Topological combinatorics Spectral...

combinatorics. Topics in this area include: Discrete Laplace operator Discrete exterior calculus Discrete calculus Discrete Morse theory Topological combinatorics...

exterior calculus is sometimes called as an example of a compatible discretization technique, and bears similarities with discrete exterior calculus,...

over their prime fields. Discrepancy theory Discrete differential geometry Discrete exterior calculus Discrete geometry a branch of geometry that studies...

Laplacian is defined are: analysis on fractals, time scale calculus and discrete exterior calculus. Styer, Daniel F. (2015-12-01). "The geometrical significance...

processes are respectively referred to as discrete-time and continuous-time stochastic processes. Discrete-time stochastic processes are considered easier...

topology now have a combinatorial analog in discrete Morse theory. Sperner's lemma Discrete exterior calculus Topological graph theory Combinatorial topology...

Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...

product, vector calculus does not generalize to higher dimensions, but the alternative approach of geometric algebra, which uses the exterior product, does...

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...

In mathematics, geometric calculus extends geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to...

so on. The discrete equivalent of differentiation is finite differences. The study of differential calculus is unified with the calculus of finite differences...

mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical...

In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function f is a differentiable...

finite elements with interval arithmetic Discrete exterior calculus — discrete form of the exterior calculus of differential geometry Modal analysis using...

as smooth manifolds. It uses the techniques of single variable calculus, vector calculus, linear algebra and multilinear algebra. The field has its origins...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...

the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that certain differentiable vector fields can be resolved into the...

the three theorems of vector calculus: the divergence theorem, Green's theorem, and the Kelvin-Stokes theorem. The discrete equivalent of integration is...

and generating functions. During this period, calculus techniques were applied to approximate discrete problems by continuous ones. In the 18th century...

called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns...

is Arnold's development of the finite element exterior calculus, a discrete version of exterior calculus that can be used to analyze the stability of finite...

considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane). This similarity is explored in the theory of time-scale calculus. While...