Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application...

make sense for any n. Exterior covariant derivative de Rham complex Finite element exterior calculus Discrete exterior calculus Green's theorem Lie derivative...

This textbook in multivariate calculus introduces the exterior algebra of differential forms adroitly into the calculus sequence for colleges. Shafarevich...

6: Exterior algebra and differential calculus", Functions of Several Variables, Addison-Wesley, pp. 205–238. This textbook in multivariate calculus introduces...

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...

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

of the finite element exterior calculus, a discrete version of exterior calculus that can be used to analyze the stability of finite element methods...

In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...

if the index set of a stochastic process has a finite or countable number of elements, such as a finite set of numbers, the set of integers, or the natural...

of computing an integral, is one of the two fundamental operations of calculus, the other being differentiation. Integration was initially used to solve...

differential refers to several related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal differences and the derivatives...

and nonconforming finite element, mixed finite element, mimetic finite difference...) inherit these convergence properties. The finite-volume method is...

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

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

dynamical systems, and discrete vector measures. In discrete calculus and the calculus of finite differences, a function defined on an interval of the integers...

finite, infinite, or even uncountable. Example 2. The empty set and X. This two-element algebra shows that a concrete Boolean algebra can be finite even...

Elwin Bruno Christoffel, and others – as part of the absolute differential calculus. The concept enabled an alternative formulation of the intrinsic differential...

a quaternion with a zero real part Multivector or p-vector, an element of the exterior algebra of a vector space. Spinors, also called spin vectors, have...

Douglas N.; Richard S. Falk; Ragnar Winther (16 May 2006). "Finite element exterior calculus, homological techniques, and applications". Acta Numerica....

family of techniques using calculus of variations to solve problems in Einstein's general theory of relativity; Finite element method is a variational method...

splitting algorithm for particle-in-cell simulations using finite element exterior calculus". Journal of Plasma Physics. 88 (2): 835880202. arXiv:2110...

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

major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures in...

different methods among which are piecewise linear finite elements, finite volumes, and discrete exterior calculus. To facilitate computation, the Laplacian is...

develop a calculus for differentiable manifolds. This leads to such mathematical machinery as the exterior calculus. The study of calculus on differentiable...

writing definitions for existing ones. This glossary of calculus is a list of definitions about calculus, its sub-disciplines, and related fields. Contents: ...

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters...

dimension of the Hilbert space. This dimension is finite if and only if the space's Hamel dimension is finite, and in this case the two dimensions coincide...

is finite-dimensional if its dimension is a natural number. Otherwise, it is infinite-dimensional, and its dimension is an infinite cardinal. Finite-dimensional...

In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ ) is a finite sequence of mathematically rigorous instructions, typically used to solve...