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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Kaiyang Huang, Kai Sun
Формат:	Өгүүллэг
Хэл сонгох:	English
Хэвлэсэн:	Tsinghua University Press 2023-12-01
Цуврал:	iEnergy
Нөхцлүүд:	holomorphic embedding method power flow polynomial solutions nonlinear algebraic equations differential equations
Онлайн хандалт:	https://www.sciopen.com/article/10.23919/IEN.2023.0037

Ижил төстэй зүйлс

Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions
-н: Dan Wu, зэрэг
Хэвлэсэн: (2019-01-01)

Holomorphic embedding method based Three-Phase power flow algorithm considering the sensitivity of the initial value
-н: Yi Zhang, зэрэг
Хэвлэсэн: (2024-11-01)

Holomorphic embedding approach for VSC‐based AC/DC power flow
-н: Ying Huang, зэрэг
Хэвлэсэн: (2020-12-01)

STATCOM Model Using Holomorphic Embedding
-н: Pradeep Singh, зэрэг
Хэвлэсэн: (2019-01-01)

HOLOMORPHIC EMBEDDING AS ANALYTICAL TECHNIQUE FOR CALCULATING ELECTRIC GRIDS OF OIL AND GAS DEPOSITS
-н: Yusup N. Isaev, зэрэг
Хэвлэсэн: (2020-04-01)

Analytic solutions of nonlinear neutral and advanced differential equatios
-н: Joseph Wiener, зэрэг
Хэвлэсэн: (1986-01-01)

Grid structure optimization using slow coherency theory and holomorphic embedding method
-н: Fei Tang, зэрэг
Хэвлэсэн: (2025-03-01)

Holomorphic functions of the variable /
-н: 236767 Colombo, Serge
Хэвлэсэн: (1983)

Hosting capacity of distributed generation based on holomorphic embedding method in distribution networks
-н: Jiarui Xie, зэрэг
Хэвлэсэн: (2023-01-01)

The equidistribution theory of holomorphic curves /
-н: 309957 Wu, Hung-Hsi
Хэвлэсэн: (1970)

Asymptotics of Solutions of Linear Differential Equations with Holomorphic Coefficients in the Neighborhood of an Infinitely Distant Point
-н: Maria Korovina
Хэвлэсэн: (2020-12-01)

Analytical Methods for Nonlinear Evolution Equations in Mathematical Physics
-н: Khaled A. Gepreel
Хэвлэсэн: (2020-12-01)

A New Application of Hermite Collocation Method
-н: Chandrali Baishya
Хэвлэсэн: (2019-02-01)

Cauchy type generalizations of holomorphic mean value theorems
-н: Anugraha Nidhi Mohapatra
Хэвлэсэн: (2012-10-01)

Foundational aspects of a new matrix holomorphic structure
-н: Hedi Khedhiri, зэрэг
Хэвлэсэн: (2025-01-01)

On the Polynomial Solutions and Limit Cycles of Some Generalized Polynomial Ordinary Differential Equations
-н: Claudia Valls
Хэвлэсэн: (2020-07-01)

Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials
-н: A.R. Jan
Хэвлэсэн: (2022-12-01)

Construction of solutions to PDEs using holomorphic functions of several variables
-н: Vitalii Shpakivskyi
Хэвлэсэн: (2024-11-01)

Λ-modules and holomorphic Lie algebroid connections
-н: Tortella Pietro
Хэвлэсэн: (2012-08-01)

A fortran subroutine for solving systems of non-linear algebraic equations /
-н: 336677 Powell, M. J. D.
Хэвлэсэн: (1968)

Hyperbolic manifolds and holomorphic mappings/
-н: 343650 Kobayashi, Shoshichi
Хэвлэсэн: (1970)

Numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials
-н: Galina A. Rasolko
Хэвлэсэн: (2019-01-01)

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials
-н: Galina A. Rasolko
Хэвлэсэн: (2019-04-01)

Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
-н: Al-Jawary Majeed A., зэрэг
Хэвлэсэн: (2020-05-01)

Approximate Solutions for a Class of Nonlinear Fredholm and Volterra Integro-Differential Equations Using the Polynomial Least Squares Method
-н: Bogdan Căruntu, зэрэг
Хэвлэсэн: (2021-10-01)

Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
-н: Che Hussin, Che Haziqah
Хэвлэсэн: (2011)

Spaces of holomorphic functions in the unit ball /
-н: Zhu, Kehe, 1961-
Хэвлэсэн: (2005)

Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
-н: Khoo, Kai Wen
Хэвлэсэн: (2015)

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
-н: Shahad Adil Taher Algazaa, зэрэг
Хэвлэсэн: (2023-01-01)

Direct one-step block methods for solving special second order delay differential equations
-н: Rasdi, Nadzirah
Хэвлэсэн: (2013)

Bounds for the sums of zeros of solutions of $u^{(m)}=P(z)u$ where $P$ is a polynomial
-н: Ting-Bin Cao, зэрэг
Хэвлэсэн: (2011-08-01)

The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems
-н: Ghada H. Ibraheem, зэрэг
Хэвлэсэн: (2020-10-01)

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python
-н: Mohsen Noorimohammad, зэрэг
Хэвлэсэн: (2024-06-01)

Comparative study of Adomian decomposition method and Clique polynomial method
-н: Kumbinarasaiah S, зэрэг
Хэвлэсэн: (2022-12-01)

Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method
-н: Saleh Alshammari, зэрэг
Хэвлэсэн: (2024-11-01)

Recent developments in numerical methods & software for ODEs/DAEs/PDEs
-н: Byrne, G. D., зэрэг
Хэвлэсэн: (1992)

10.34 Numerical Methods Applied to Chemical Engineering, Fall 2001
-н: Beers, Kenneth J.
Хэвлэсэн: (2001)

A numerical method for solving a class of systems of nonlinear Pantograph differential equations
-н: Musa Cakmak, зэрэг
Хэвлэсэн: (2022-04-01)

On the Solutions of Nonlinear Algebraic and Transcendental Equations using Adomian Decomposition Method
-н: Gbeminiyi Musibau Sobamowo, зэрэг
Хэвлэсэн: (2021-05-01)

Numerical study on factional differential-algebraic systems by means of Chebyshev Pseudo spectral method
-н: Hoda F. Ahmed
Хэвлэсэн: (2020-01-01)