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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Kaiyang Huang, Kai Sun
स्वरूप:	लेख
भाषा:	English
प्रकाशित:	Tsinghua University Press 2023-12-01
श्रृंखला:	iEnergy
विषय:	holomorphic embedding method power flow polynomial solutions nonlinear algebraic equations differential equations
ऑनलाइन पहुंच:	https://www.sciopen.com/article/10.23919/IEN.2023.0037

समान संसाधन

Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions
द्वारा: Dan Wu, और अन्य
प्रकाशित: (2019-01-01)

Holomorphic embedding method based Three-Phase power flow algorithm considering the sensitivity of the initial value
द्वारा: Yi Zhang, और अन्य
प्रकाशित: (2024-11-01)

Holomorphic embedding approach for VSC‐based AC/DC power flow
द्वारा: Ying Huang, और अन्य
प्रकाशित: (2020-12-01)

STATCOM Model Using Holomorphic Embedding
द्वारा: Pradeep Singh, और अन्य
प्रकाशित: (2019-01-01)

HOLOMORPHIC EMBEDDING AS ANALYTICAL TECHNIQUE FOR CALCULATING ELECTRIC GRIDS OF OIL AND GAS DEPOSITSAND ASSESSING THEIR STABILITY
द्वारा: Yusup N. Isaev, और अन्य
प्रकाशित: (2021-02-01)

HOLOMORPHIC EMBEDDING AS ANALYTICAL TECHNIQUE FOR CALCULATING ELECTRIC GRIDS OF OIL AND GAS DEPOSITS
द्वारा: Yusup N. Isaev, और अन्य
प्रकाशित: (2020-04-01)

Analytic solutions of nonlinear neutral and advanced differential equatios
द्वारा: Joseph Wiener, और अन्य
प्रकाशित: (1986-01-01)

Computation of rational solutions for a first-order nonlinear differential equation
द्वारा: Djilali Behloul, और अन्य
प्रकाशित: (2011-09-01)

Grid structure optimization using slow coherency theory and holomorphic embedding method
द्वारा: Fei Tang, और अन्य
प्रकाशित: (2025-03-01)

Holomorphic functions of the variable /
द्वारा: 236767 Colombo, Serge
प्रकाशित: (1983)

Hosting capacity of distributed generation based on holomorphic embedding method in distribution networks
द्वारा: Jiarui Xie, और अन्य
प्रकाशित: (2023-01-01)

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

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

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

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

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

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

Foundational aspects of a new matrix holomorphic structure
द्वारा: Hedi Khedhiri, और अन्य
प्रकाशित: (2025-01-01)

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

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

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

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

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

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

Hyperbolic manifolds and holomorphic mappings/
द्वारा: 343650 Kobayashi, Shoshichi
प्रकाशित: (1970)

Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
द्वारा: Al-Jawary Majeed A., और अन्य
प्रकाशित: (2020-05-01)

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

Special solutions of Huxley differential equation
द्वारा: Zenonas Navickas, और अन्य
प्रकाशित: (2011-06-01)

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

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

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

Numerical solution of a weakly singular integral equation by the method of orthogonal polynomials
द्वारा: Sergei M. Sheshko
प्रकाशित: (2021-11-01)

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
द्वारा: Shahad Adil Taher Algazaa, और अन्य
प्रकाशित: (2023-01-01)

Weighted Spaces of Holomorphic Functions on Banach Spaces and the Approximation Property
द्वारा: Manjul Gupta, और अन्य
प्रकाशित: (2016-12-01)

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

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

The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems
द्वारा: Ghada H. Ibraheem, और अन्य
प्रकाशित: (2020-10-01)

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python
द्वारा: Mohsen Noorimohammad, और अन्य
प्रकाशित: (2024-06-01)

Comparative study of Adomian decomposition method and Clique polynomial method
द्वारा: Kumbinarasaiah S, और अन्य
प्रकाशित: (2022-12-01)

Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method
द्वारा: Saleh Alshammari, और अन्य
प्रकाशित: (2024-11-01)