Grundland, Alfred Michel

Professeur associé

Faculté des arts et des sciences - Département de mathématiques et de statistique

André-Aisenstadt

514 343-6111 ext 4741

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Page web personnelle

Affiliations

Centre de Recherches Mathématiques (CRM)

Expertise

Nombre total de publications dans des revues avec comité de lecture: 199.

Nombre total d’étudiants promus sous ma direction

Stagiaires postdoctoraux: 16, Étudiants au doctorat: 10, Étudiants à la maîtrise: 22

Étudiants présentement sous ma direction

W. Trudel (2023-présent), M.Sc., physique mathématique, Département de Mathématiques et Informatique, Université du Québec à Trois-Rivières

M.A. Lemire (2024-présent), M.Sc., physique mathématique, Département de Physique, Université de Montréal

L. Chomienia (2024=présent), postdoctoral, physique mathématique, Centre de Recherches Mathématiques, Université de Montréal

Publications choisies Tout déplier Tout replier

Quasi-rectifiable Lie algebras for partial differential equations

A. M. Grundland, J. De Lucas, Quasi-rectifiable Lie algebras for partial differential equations , (2025-01-31), 10.1088/1361-6544/ada50e, Journal of Nonlinearity

Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé

Conte Robert, Michel Grundland A., Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé 190, (2024-02-01), 10.1016/j.bulsci.2023.103372, Bulletin des Sciences Mathematiques

On k-wave solutions of quasilinear systems of partial differential equations

Grundland Alfred Michel, On k-wave solutions of quasilinear systems of partial differential equations 2024, (2024-01-01), 10.46298/ocnmp.11341, Open Communications in Nonlinear Mathematical Physics

The Lie algebra of the lowest transitively differential group of degree three

Grundland Alfred Michel, Marquette Ian, The Lie algebra of the lowest transitively differential group of degree three 56, (2023-08-25), 10.1088/1751-8121/ace866, Journal of Physics A: Mathematical and Theoretical

Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems

A. M. Grundland, J. De Lucas , Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems 28, 73-112 (2023-01-01), 10.57262/ade028-0102-73, Advances in Differential Equations

Recurrence Relations and General Solution of the Exceptional Hermite Equation

Grundland Alfred Michel, Latini Danilo, Marquette Ian, Recurrence Relations and General Solution of the Exceptional Hermite Equation , (2023-01-01), 10.1007/s00023-023-01395-x, Annales Henri Poincare

The Veronese Sequence of Analytic Solutions of the CP^2S Sigma Model Equations Described via Krawtchouk Polynomials

Nicolas Crampé (University of Orléans), Alfred Michel Grundland (Centre de Recherches Mathématiques), The Veronese Sequence of Analytic Solutions of the CP^2S Sigma Model Equations Described via Krawtchouk Polynomials , 57 / 65 (2021-01-01), 10.1007/978-3-030-55777-5_5, Unknown

General solution of the exceptional Hermite differential equation and its minimal surface representation

Chalifour V., Grundland A. M., General solution of the exceptional Hermite differential equation and its minimal surface representation 21, 3341-3384 (2020-10-01), 10.1007/s00023-020-00945-x, Annales Henri Poincare

On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications

Grundland A.M., de Lucas J., On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications 67, (2019-12-01), 10.1016/j.difgeo.2019.101557, Differential Geometry and its Application

CP^2S Sigma Models Described Through Hypergeometric Orthogonal Polynomials

Nicolas Crampé (University of Orléans), Alfred Michel Grundland, CP^2S Sigma Models Described Through Hypergeometric Orthogonal Polynomials 20, 3365 / 3387 (2019-10-01), 10.1007/S00023-019-00830-2, Annales Henri Poincaré

Université de Montréal / Faculté des arts et des sciences Département de mathématiques et de statistique

Grundland, Alfred Michel

Affiliations

Expertise

Nombre total d’étudiants promus sous ma direction

Publications choisies Tout déplier Tout replier

Quasi-rectifiable Lie algebras for partial differential equations

Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé

On k-wave solutions of quasilinear systems of partial differential equations

The Lie algebra of the lowest transitively differential group of degree three

Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems

Recurrence Relations and General Solution of the Exceptional Hermite Equation

The Veronese Sequence of Analytic Solutions of the CP^2S Sigma Model Equations Described via Krawtchouk Polynomials

General solution of the exceptional Hermite differential equation and its minimal surface representation

On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications

CP^2S Sigma Models Described Through Hypergeometric Orthogonal Polynomials

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Grundland, Alfred Michel

Courriels

Affiliations

Expertise

Nombre total d’étudiants promus sous ma direction

Publications choisies Tout déplier Tout replier

Quasi-rectifiable Lie algebras for partial differential equations

Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé

On k-wave solutions of quasilinear systems of partial differential equations

The Lie algebra of the lowest transitively differential group of degree three

Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems

Recurrence Relations and General Solution of the Exceptional Hermite Equation

The Veronese Sequence of Analytic Solutions of the CP2S Sigma Model Equations Described via Krawtchouk Polynomials

General solution of the exceptional Hermite differential equation and its minimal surface representation

On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications

CP2S Sigma Models Described Through Hypergeometric Orthogonal Polynomials

Nos chercheurs par thème

The Veronese Sequence of Analytic Solutions of the CP^2S Sigma Model Equations Described via Krawtchouk Polynomials

CP^2S Sigma Models Described Through Hypergeometric Orthogonal Polynomials