Geometric integration can refer to: Homological integration – a method for extending the notion of integral to manifolds. Geometric integrator; a numerical...

numerical ordinary differential equations, a geometric integrator is a numerical method that preserves geometric properties of the exact flow of a differential...

symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of geometric integrators which...

understood as geometric objects since Klein's Erlangen programme. Geometric group theory studies group actions on objects that are regarded as geometric (significantly...

mathematical fields of differential geometry and geometric measure theory, homological integration or geometric integration is a method for extending the notion of...

geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra...

A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by...

theory linking these ideas is that of homological integration (sometimes called geometric integration theory), pioneered by Georges de Rham and Hassler...

Geometric dimensioning and tolerancing (GD&T) is a system for defining and communicating engineering tolerances via a symbolic language on engineering...

In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant...

Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and rigid...

integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system...

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

integral to the desired precision. Numerical integration has roots in the geometrical problem of finding a square with the same area as a given plane figure...

flows strictly conserves the mass of the flowing fluid. The term geometric integration denotes the same philosophy. Hyman, James M.; Morel, Jim E.; Shashkov...

In mathematics, a multisymplectic integrator is a numerical method for the solution of a certain class of partial differential equations, that are said...

manifolds, embeddings, immersions, characteristic classes and, geometric integration theory. Hassler Whitney was born on March 23, 1907, in New York...

A fractional-order integrator or just simply fractional integrator is an integrator device that calculates the fractional-order integral or derivative...

problems with muscles, tendons, ligaments, fascia, and nerves. Bio-Geometric Integration is a framework for understanding the body's response to force dynamics...

Dynamic relaxation Geometric integrator — a method that preserves some geometric structure of the equation Symplectic integrator — a method for the solution...

in mathematics including the Knizhnik–Zamolodchikov equations and the geometric Langlands correspondence. Garnier, Par M. René (December 1919). "Sur une...

representation with a spectral parameter, and proved its algebraic-geometric integrability. This means that the space of polygons (either twisted or ordinary)...

complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is closely related to...

circle with a radius of one, and hence integrating the upper right quarter from zero to one is the geometric equivalent to the area of one quarter of...

In classical and quantum mechanics, geometric phase is a phase difference acquired over the course of a cycle, when a system is subjected to cyclic adiabatic...

implicit Runge–Kutta method—which also has the property of being a geometric integrator. For example, in one dimension, suppose the partial differential...

In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It...

; Patrick, George; Ratiu, Tudor (eds.), "Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms", Geometry...

Fundamental Sciences, Massey University, New Zealand. His research in geometric integration encompasses both pure and applied mathematics, modelling the structure...

Calculus of variations and optimal control; optimization (including geometric integration theory) 51: Geometry 52: Convex and discrete geometry 53: Differential...