A review on applications of holomorphic embedding methods

A review on applications of holomorphic embedding methods

The holomorphic embedding method (HEM) stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables. The key idea behind the HEM is to convert the task of solving complex algebraic equations into a series expansion...

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Bibliografiske detaljer
Main Authors:	Kaiyang Huang, Kai Sun
Format:	Article
Sprog:	English
Udgivet:	Tsinghua University Press 2023-12-01
Serier:	iEnergy
Fag:	holomorphic embedding method power flow polynomial solutions nonlinear algebraic equations differential equations
Online adgang:	https://www.sciopen.com/article/10.23919/IEN.2023.0037

Lignende værker

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Holomorphic embedding approach for VSC‐based AC/DC power flow
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STATCOM Model Using Holomorphic Embedding
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Analytic solutions of nonlinear neutral and advanced differential equatios
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Udgivet: (1986-01-01)

Grid structure optimization using slow coherency theory and holomorphic embedding method
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Udgivet: (2025-03-01)

Holomorphic functions of the variable /
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Udgivet: (1983)

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The equidistribution theory of holomorphic curves /
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Udgivet: (1970)

Asymptotics of Solutions of Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely Distant Point
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Analytical Methods for Nonlinear Evolution Equations in Mathematical Physics
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A New Application of Hermite Collocation Method
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Udgivet: (2019-02-01)

Cauchy type generalizations of holomorphic mean value theorems
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Foundational aspects of a new matrix holomorphic structure
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On the Polynomial Solutions and Limit Cycles of Some Generalized Polynomial Ordinary Differential Equations
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Udgivet: (2022-12-01)

Construction of solutions to PDEs using holomorphic functions of several variables
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Approximate Solutions for a Class of Nonlinear Fredholm and Volterra Integro-Differential Equations Using the Polynomial Least Squares Method
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Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
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Spaces of holomorphic functions in the unit ball /
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Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
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Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
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Direct one-step block methods for solving special second order delay differential equations
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Bounds for the sums of zeros of solutions of $u^{(m)}=P(z)u$ where $P$ is a polynomial
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The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems
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Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python
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Comparative study of Adomian decomposition method and Clique polynomial method
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Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method
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Recent developments in numerical methods & software for ODEs/DAEs/PDEs
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10.34 Numerical Methods Applied to Chemical Engineering, Fall 2001
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A numerical method for solving a class of systems of nonlinear Pantograph differential equations
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On the Solutions of Nonlinear Algebraic and Transcendental Equations using Adomian Decomposition Method
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Numerical study on factional differential-algebraic systems by means of Chebyshev Pseudo spectral method
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