# Highly Oscillatory Problems: Computation, Theory and Application

Created: | 2007-07-24 15:31 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | High oscillation pervades a very wide range of applications: electromagnetics, fluid dynamics, molecular modelling, quantum chemistry, computerised tomography, plasma transport, celestial mechanics, medical imaging, signal processing. It has been addressed by a wide range of mathematical techniques, inter alia from asymptotic theory, harmonic analysis, theory of dynamical systems, theory of integrable systems and differential geometry. The computation of highly oscillatory problems spawned a large number of different numerical approaches and algorithms. The purpose of this programme is to foster research into different aspects of high oscillation – the theoretical, the computational and the applied – from a united standpoint and to promote the synergy implicit in an interdisciplinary activity.
Read more at: http://www.newton.ac.uk/programmes/HOP/ |

# Media items

This collection contains 78 media items.

### Media items

#### A multiscale method for stiff ordinary differential equations with resonance

Liu, H (Texas at Austin)

Thursday 29 March 2007, 15:30-16:15

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 27 Jul 2007

#### A new transform method and some of its numerical implementations

Fokas, T (University of Cambridge, UK)

Thursday 16 September 2010, 10:00-11:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### A Numerical Algorithm for Advancing Slow Features in Fast-Slow Systems without Scale Separation - A Young Measure...

Titi, E (Weizmann Institute of Science, IL)

Monday 13 September 2010, 10:00-11:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 17 Sep 2010

#### An Effective Finite Difference Approach for Optical Beam Propagations

Sheng, Q (Baylor University, US)

Thursday 16 September 2010, 17:30-18:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 21 Sep 2010

#### Analysis of splitting methods for reaction-diffusion equations in the light of stochastic calculus

Faou, E (Rennes)

Thursday 22 March 2007, 16:00-17:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 11 Mar 2008

#### Approximate energy conservation for symplectic time semidiscretizations of semilinear wave equations

Wulff, C (Surrey)

Wednesday 28 March 2007, 14:00-14:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Feb 2008

#### Approximation by plane waves

Moiola, A (ETH Zurich, CH)

Wednesday 15 September 2010, 11:30-12:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Asymptotics for the Camassa-Holm equation

Boutet de Monvel, A (Paris 7)

Wednesday 28 March 2007, 15:30-16:15

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 21 Feb 2008

#### Beyond the adiabatic approximation: exponentially small coupling terms

Teufel, S (Tuebingen)

Wednesday 28 March 2007, 11:30-12:15

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Feb 2008

#### Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials

Hao, W (University Paul Sabatier, FR)

Thursday 16 September 2010, 14:30-15:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Coercivity of boundary integral operators in high frequency scattering

Spence, E (University of Bath, UK)

Friday 17 September 2010, 10:40-11:10

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 21 Sep 2010

#### Coercivity, Nonnormality and Numerical Range of boundary integral operators in high-frequency scattering

Betcke, T (University of Reading, UK)

Tuesday 14 September 2010, 17:00-17:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Computing expectation values for molecular quantum dynamics

Lasser, C (Technische Universität München, DE)

Tuesday 14 September 2010, 11:30-12:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Conservation of energy and actions in numerical discretizations of nonlinear wave equations

Hairer, E (Geneve)

Tuesday 27 March 2007, 09:45-10:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 24 Jul 2007

#### Convergent high-frequency algorithms for single and multiple scattering

Ecevit, F (Bogazici University, TR)

Tuesday 14 September 2010, 17:30-18:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Developing Integrators for Highly Oscillatory Hamiltonian Systems Using Homogenization

Dobson, M (Ecole des Ponts ParisTech, FR)

Tuesday 14 September 2010, 15:00-15:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Dispersive and dissipative behaviour of Galerkin approximation using high order polynomials

Ainsworth, M (Strathclyde)

Monday 26 March 2007, 15:30-16:15

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 18 Feb 2008

#### Efficient finite difference schemes for highly oscillatory linear ODE

Geier, J (TU Wien, AT)

Wednesday 15 September 2010, 14:30-15:00

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 20 Sep 2010

#### Existence of approximate solitary waves in simplectic algorithms of integration

Bambussi, D (University of Milan, IT)

Friday 17 September 2010, 11:30-12:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 21 Sep 2010

#### Exponential asymptotics for the primitive equations

Wirosoetisno, D (Durham)

Wednesday 28 March 2007, 17:00-17:30

**Collection**:
Highly Oscillatory Problems: Computation, Theory and Application

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Feb 2008