The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method...

continuation method and the continuation method (see numerical continuation). The methods for differential equations include the homotopy analysis method. Homotopy...

superseded by the more general theory of the homotopy analysis method. The crucial aspect of the method is employment of the "Adomian polynomials" which...

is a fluid mechanics and applied mathematics expert working in homotopy analysis method (HAM), nonlinear waves, nonlinear dynamics, and applied mathematics...

such as Euler's method and Runge–Kutta methods can be used. The homotopy analysis method (HAM) has also been reported for obtaining approximate solutions...

decomposition method. Kluwer Academic Publishers. ISBN 9789401582896. Liao, S. J. (2003). Beyond Perturbation: Introduction to the Homotopy Analysis Method. Boca...

endgame methods for computing singular solutions using homotopy continuation, the target time being 0 {\displaystyle 0} can significantly ease analysis, so...

Hold-And-Modify, a screen mode of the Commodore Amiga computer Homotopy analysis method Human asset management Hamburg Airport's IATA code Hamlet (Amtrak...

entrance exam, then could enter University of Tehran. His paper "Homotopy analysis method for quadratic Riccati differential equation" was singled out by...

In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other....

is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent (or the stronger...

he published his ground-breaking paper on Analysis Situs, which introduced the concepts now known as homotopy and homology, which are now considered part...

have proposed a general method called MAPPER. It inherits the idea of Jean-Pierre Serre that a covering preserves homotopy. A generalized formulation...

Meeting and subsequently published. The method is founded on advanced concepts and results from complex analysis, such as holomorphicity, the theory of...

Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and 1960s...

univalent foundations and related to it homotopy type theory. Within homotopy type theory, a set may be regarded as a homotopy 0-type, with universal properties...

applications. The success of Hilbert space methods ushered in a very fruitful era for functional analysis. Apart from the classical Euclidean vector spaces...

and strengthened their method of killing homotopy groups in spectral sequence terms, creating the basic tool of stable homotopy theory now known as the...

as "Henry", was a British mathematician and was one of the founders of homotopy theory. He was born in Chennai (then known as Madras), in India, and died...

polarisation Eigenvalue perturbation Homotopy perturbation method Interval finite element Lyapunov stability Method of dominant balance Order of approximation...

solutions may be approximated numerically using computers, and many numerical methods have been developed to determine solutions with a given degree of accuracy...

{\displaystyle X} to Y {\displaystyle Y} . Unlike more subtle invariants such as homotopy groups, the cohomology ring tends to be computable in practice for spaces...

{G}})=\operatorname {rank} H_{1}({\tilde {G}}).} It can also be computed via homotopy. If a (connected) control-flow graph is considered a one-dimensional CW...

France, France "Achieved major results on the homotopy groups of spheres, especially in his use of the method of spectral sequences. Reformulated and extended...

residue computations easy to do. Since path integral computations are homotopy invariant, we will let C {\displaystyle C} be the circle with radius 1...

that a curve is homotopic to a constant curve if there exists a smooth homotopy (within U {\displaystyle U} ) from the curve to the constant curve. Intuitively...

is an active area of research, one direction being the development of homotopy type theory. The first computer proof assistant, called Automath, used...

complex problems and solution methods developed. Concrete problems and examples came from number theory, geometry, analysis, and the solutions of algebraic...

Kirszenblat and J. Hyam Rubinstein. A proof characterizing Dubins paths in homotopy classes has been given by J. Ayala. The Dubins path is commonly used in...

since all coverings have the homotopy lifting property, covering spaces are an important tool in the calculation of homotopy groups. A standard example...