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superseded by the more general theory of the homotopy analysis method.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...

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...

sampling of 2-categorical aspects of quasi-category theory", Categorical Homotopy Theory, Cambridge: Cambridge University Press, pp. 318–336, doi:10.1017/cbo9781107261457...

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

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

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

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

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

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

and Computation. (2006) Rotating flow of a third grade fluid by homotopy analysis method. Saleem Asghar, M. Mudassar Gulzar, Tasawar Hayat:Applied Mathematics...

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

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

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

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...

broadening Homogeneous isotropic turbulence Homologous temperature Homotopy analysis method Hongjie Dai Hooke's law Hoop Conjecture Hopkinson's law Horace-Bénédict...

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

terms. A parallel development was the category of spectra in homotopy theory. The homotopy category of spectra and the derived category of a ring are both...

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...

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

embarrassing not to develop parallel implementations of polynomial homotopy continuation methods." The term is first found in the literature in a 1986 book on...

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

mathematical analysis) started to make a rift more apparent. At the start of the twentieth century mathematicians took up the axiomatic method, strongly...

on the possible maps from X to Y. Unlike more subtle invariants such as homotopy groups, the cohomology ring tends to be computable in practice for spaces...

elementary methods. Its topics include divisibility, factorization, and primality. Analytic number theory, by contrast, relies on techniques from analysis and...

systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine...

Journal on Scientific Computing Chu, Moody T. (1988), "A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems", Linear Algebra Appl., 105:...