78 episodes

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/

Highly Oscillatory Problems: Computation, Theory and Application Cambridge University

    • Education

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/

    • video
    Welcome by ESF Rapporteur

    Welcome by ESF Rapporteur

    Sanz-Serna, C
    Monday 13 September 2010, 08:50-09:00

    • 7 min
    • video
    Existence of approximate solitary waves in simplectic algorithms of integration

    Existence of approximate solitary waves in simplectic algorithms of integration

    Bambussi, D (University of Milan, IT)
    Friday 17 September 2010, 11:30-12:30

    • 1 hr 6 min
    • video
    Coercivity of boundary integral operators in high frequency scattering

    Coercivity of boundary integral operators in high frequency scattering

    Spence, E (University of Bath, UK)
    Friday 17 September 2010, 10:40-11:10

    • 30 min
    • video
    Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

    Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

    Correia, JMC (Universidade de Évora, PT)
    Friday 17 September 2010, 10:10-10:40

    • 23 min
    • video
    Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation

    Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation

    Alvarez-Caudevilla, P (Scuola Normale Superiore, IT)
    Thursday 16 September 2010, 18:00-18:30

    • 22 min
    • video
    An Effective Finite Difference Approach for Optical Beam Propagations

    An Effective Finite Difference Approach for Optical Beam Propagations

    Sheng, Q (Baylor University, US)
    Thursday 16 September 2010, 17:30-18:00

    • 27 min

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