Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems
Fuente:
arXiv
Saved in:
| Main Authors: | Deng, Siyuan, Hatzel, Michelle, Reid, Gregory, Yang, Wenqiang, Wu, Wenyuan |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Dissipative quadratizations of polynomial ODE systems
by: Cai, Yubo, et al.
Published: (2023)
by: Cai, Yubo, et al.
Published: (2023)
Solving parametric polynomial systems using Generic Rational Univariate Representation
by: Corniquel, Florent
Published: (2026)
by: Corniquel, Florent
Published: (2026)
Generalized ODE reduction algorithm for bounded degree transformation
by: Huang, Shaoxuan
Published: (2025)
by: Huang, Shaoxuan
Published: (2025)
Generalized ODE reduction algorithm with bounded degree transformation
by: Huang, Shaoxuan
Published: (2025)
by: Huang, Shaoxuan
Published: (2025)
Computing greatest common divisor of several parametric univariate polynomials via generalized subresultant polynomials
by: Hong, Hoon, et al.
Published: (2023)
by: Hong, Hoon, et al.
Published: (2023)
Faster Gröbner bases for Lie derivatives of ODE systems via monomial orderings
by: Bessonov, Mariya, et al.
Published: (2022)
by: Bessonov, Mariya, et al.
Published: (2022)
A Dataset of Nonlinear Equations for Subdivision
by: Xu, Juan, et al.
Published: (2026)
by: Xu, Juan, et al.
Published: (2026)
Probably faster multiplication of sparse polynomials
by: van der Hoeven, Joris
Published: (2025)
by: van der Hoeven, Joris
Published: (2025)
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules
by: Caruso, Xavier, et al.
Published: (2023)
by: Caruso, Xavier, et al.
Published: (2023)
On the computation of Gröbner bases for matrix-weighted homogeneous systems
by: Verron, Thibaut
Published: (2022)
by: Verron, Thibaut
Published: (2022)
An Algorithm for Discriminating the Complete Multiplicities of a Parametric Univariate Polynomial
by: Qin, Simin, et al.
Published: (2024)
by: Qin, Simin, et al.
Published: (2024)
Computing submatrices of the Hermite normal form of a structured polynomial matrix
by: Berthomieu, Jérémy, et al.
Published: (2026)
by: Berthomieu, Jérémy, et al.
Published: (2026)
Algorithms for Recursive Block Matrices
by: Watt, Stephen M.
Published: (2024)
by: Watt, Stephen M.
Published: (2024)
Consequences of the Moosbauer-Poole Algorithms
by: Kauers, Manuel, et al.
Published: (2025)
by: Kauers, Manuel, et al.
Published: (2025)
Support bound for differential elimination in polynomial dynamical systems
by: Mukhina, Yulia, et al.
Published: (2025)
by: Mukhina, Yulia, et al.
Published: (2025)
Solving generic parametric linear matrix inequalities
by: Naldi, Simone, et al.
Published: (2025)
by: Naldi, Simone, et al.
Published: (2025)
Fast interpolation and multiplication of unbalanced polynomials
by: Giorgi, Pascal, et al.
Published: (2024)
by: Giorgi, Pascal, et al.
Published: (2024)
Fast polynomial computations with space constraints
by: Grenet, Bruno
Published: (2025)
by: Grenet, Bruno
Published: (2025)
Telescoping Algorithms for $Σ^*$-Extensions via Complete Reductions
by: Chen, Shaoshi, et al.
Published: (2025)
by: Chen, Shaoshi, et al.
Published: (2025)
A Generalisation of Goursat's Algorithm for Integration in Finite Terms
by: Blake, Sam
Published: (2026)
by: Blake, Sam
Published: (2026)
Local Hamiltonian decomposition and classical simulation of parametrized quantum circuits
by: Adhikari, Bibhas, et al.
Published: (2024)
by: Adhikari, Bibhas, et al.
Published: (2024)
Algorithmic Detection of Jacobi Stability for Systems of Second Order Differential Equations
by: Böhmer, Christian G., et al.
Published: (2025)
by: Böhmer, Christian G., et al.
Published: (2025)
Two Algorithms for Computing Rational Univariate Representations of Zero-Dimensional Ideals with Parameters
by: Wang, Dingkang, et al.
Published: (2024)
by: Wang, Dingkang, et al.
Published: (2024)
An Algorithm for Computing the Leading Monomials of a Minimal Groebner Basis of Generic Sequences
by: Sakata, Kosuke, et al.
Published: (2025)
by: Sakata, Kosuke, et al.
Published: (2025)
Factoring sparse polynomials fast
by: Demin, Alexander, et al.
Published: (2023)
by: Demin, Alexander, et al.
Published: (2023)
Modular composition & polynomial GCD in the border of small, shallow circuits
by: Andrews, Robert, et al.
Published: (2025)
by: Andrews, Robert, et al.
Published: (2025)
Fast interpolation of sparse multivariate polynomials
by: van der Hoeven, Joris, et al.
Published: (2023)
by: van der Hoeven, Joris, et al.
Published: (2023)
Matrices with displacement structure: a deterministic approach for linear systems and nullspace bases
by: Khichane, Sara, et al.
Published: (2026)
by: Khichane, Sara, et al.
Published: (2026)
Solving parameter-dependent semi-algebraic systems
by: Gaillard, Louis, et al.
Published: (2024)
by: Gaillard, Louis, et al.
Published: (2024)
An algorithm to recognize regular singular Mahler systems
by: Faverjon, Colin, et al.
Published: (2021)
by: Faverjon, Colin, et al.
Published: (2021)
A Basis-preserving Algorithm for Computing the Bezout Matrix of Newton Polynomials
by: Yang, Jing, et al.
Published: (2024)
by: Yang, Jing, et al.
Published: (2024)
On the equivalence problem of Smith forms for multivariate polynomial matrices
by: Lu, Dong, et al.
Published: (2024)
by: Lu, Dong, et al.
Published: (2024)
Certificates for nonnegativity of multivariate integer polynomials under perturbations
by: Bender, Matías R, et al.
Published: (2025)
by: Bender, Matías R, et al.
Published: (2025)
A multistep strategy for polynomial system solving over finite fields and a new algebraic attack on the stream cipher Trivium
by: La Scala, Roberto, et al.
Published: (2023)
by: La Scala, Roberto, et al.
Published: (2023)
Geometry of the signed support of a multivariate polynomial and Descartes' rule of signs
by: Telek, Máté L.
Published: (2023)
by: Telek, Máté L.
Published: (2023)
Conditions for eigenvalue configurations of two real symmetric matrices (symmetric polynomial approach)
by: Hong, Hoon, et al.
Published: (2023)
by: Hong, Hoon, et al.
Published: (2023)
Indicial polynomials and $b$-functions of $D$-modules along arbitrary varieties and their computation
by: Oaku, Toshinori
Published: (2026)
by: Oaku, Toshinori
Published: (2026)
A Generalization of Habicht's Theorem for Subresultants of Several Univariate Polynomials
by: Hong, Hoon, et al.
Published: (2024)
by: Hong, Hoon, et al.
Published: (2024)
LawMind: A Law-Driven Paradigm for Discovering Analytical Solutions to Partial Differential Equations
by: Zheng, Min-Yi, et al.
Published: (2026)
by: Zheng, Min-Yi, et al.
Published: (2026)
Advancing Symbolic Discovery on Unsupervised Data: A Pre-training Framework for Non-degenerate Implicit Equation Discovery
by: Yufei, Kuang, et al.
Published: (2025)
by: Yufei, Kuang, et al.
Published: (2025)
Similar Items
-
Dissipative quadratizations of polynomial ODE systems
by: Cai, Yubo, et al.
Published: (2023) -
Solving parametric polynomial systems using Generic Rational Univariate Representation
by: Corniquel, Florent
Published: (2026) -
Generalized ODE reduction algorithm for bounded degree transformation
by: Huang, Shaoxuan
Published: (2025) -
Generalized ODE reduction algorithm with bounded degree transformation
by: Huang, Shaoxuan
Published: (2025) -
Computing greatest common divisor of several parametric univariate polynomials via generalized subresultant polynomials
by: Hong, Hoon, et al.
Published: (2023)