# Factorisation of matrix functions: New techniques and applications

Created: | 2019-08-12 08:39 |
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Institution: | 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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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