Factorisation of matrix functions: New techniques and applications
| Created: | 2019-08-12 08:39 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Editors' group: | Members of "Isaac Newton Institute for Mathematical Sciences". |
| Description: | The Wiener–Hopf method has been interdisciplinary ever since its inception. It resulted from a collaboration between Norbert Wiener, who worked on stochastic processes, and Eberhard Hopf, who worked on partial differential equations. The Wiener–Hopf technique combines two powerful
ideas: the Fourier transform and complex analysis. The Wiener–Hopf method has enabled us to analytically solve previously intractable integral and partial differential equations. To date, it remains the only known method for solving a wide class of physical problems. There are a numerous new directions of approximate methods which allow to tackle previously unapproachable real life problems. The aim of this workshop is to share (i) new tools for the solution of matrix Wiener-Hopf equation (ii) the generalisations of the Wiener-Hopf method (iii) the diverse applications of the Wiener-Hopf technique" |
Media items
This collection contains 32 media items.
Media items
Complex scattering and radiation problems using the Generalized Wiener-Hopf Technique
11 views
Lombardi, G
Thursday 15th August 2019 - 12:00 to 12:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 16 Aug 2019
Moving boundary value problems in the dynamics of structures
24 views
Corso, F.D
Thursday 15th August 2019 - 15:00 to 15:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 16 Aug 2019
Ordered Exponential (OE) equation as an alternative to the Wiener-Hopf method
18 views
Shanin, A
Monday 12th August 2019 - 14:30 to 15:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 13 Aug 2019
Recent advances in the quarter-plane problem using functions of two complex variables
20 views
Assier, R
Monday 12th August 2019 - 13:30 to 14:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 13 Aug 2019
Transmission and reflection at an interface between metamaterial and ordinary material
13 views
Willis, J.R
Wednesday 14th August 2019 - 10:00 to 10:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Wiener-Hopf Factorisations for Levy processes
12 views
Kyprianou, A
Tuesday 13th August 2019 - 11:30 to 12:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Analytical solutions of dynamic fracture and friction at the atomic scale
10 views
Marder, M
Wednesday 14th August 2019 - 09:00 to 10:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Application of Khrapkov’s technique of 2x2 matrix factorization to solving problems related to interface cracks
9 views
Ustinov, K
Friday 16th August 2019 - 10:30 to 11:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Aug 2019
Comments on the approximate factorisation of matrix functions with unstable sets of partial indices
18 views
Mishuris, G
Friday 16th August 2019 - 15:30 to 16:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Aug 2019
Diffraction in Mindlin plates
9 views
Thompson, I
Friday 16th August 2019 - 11:30 to 12:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Aug 2019
Elastic wedge diffraction, with applications to non-destructive evaluation
9 views
Fradkin, L
Thursday 15th August 2019 - 16:00 to 16:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 16 Aug 2019
Factorisation of triangular matrix-functions of arbitrary order
11 views
Rogosin, S
Tuesday 13th August 2019 - 13:30 to 14:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Fredholm factorization of Wiener-Hopf equations (presented by Guido Lombardi)
10 views
Daniele, V
Thursday 15th August 2019 - 11:30 to 12:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 16 Aug 2019
Functional-integral equations and diffraction by a truncated wedge
16 views
Lyalinov, M
Friday 16th August 2019 - 15:00 to 15:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Aug 2019
Generalisation of the Wiener-Hopf pole removal method and application to n by n matrix functions
32 views
Kisil, A
Monday 12th August 2019 - 15:00 to 15:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 13 Aug 2019
Greater generality brings simplicity
5 views
Slepyan, L
Wednesday 14th August 2019 - 10:30 to 11:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Homogenisation and a Wiener-Hopf formulation for a scattering problem around a semi-infinite elastic structured duct
10 views
Movchan, A
Wednesday 14th August 2019 - 11:30 to 12:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
Numerical solution of matrix Wiener–Hopf problems via a Riemann–Hilbert formulation
12 views
Luca, E
Thursday 15th August 2019 - 10:30 to 11:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 16 Aug 2019
On explicit and exact solutions of the Wiener-Hopf factorization problem for some matrix functions
13 views
Adukov, V
Tuesday 13th August 2019 - 16:00 to 16:30
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019
On Janashia-Lagvilava method of matrix spectral factorisation
21 views
Ephremidze, L
Tuesday 13th August 2019 - 10:00 to 11:00
Collection: Factorisation of matrix functions: New techniques and applications
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 14 Aug 2019