Thu 22 May 15:00: Title to be confirmed
Abstract not available
- Speaker: Sheehan Olver (Imperial College London)
- Thursday 22 May 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 22 May 15:00: Title to be confirmed
Abstract not available
- Speaker: Sheehan Olver (Imperial College London)
- Thursday 22 May 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 06 Feb 15:00: Numerical analysis of high frequency wave scattering via semiclassical analysis: a case study with non-uniform meshes
In recent years, semiclassical analysis has significantly advanced our understanding of numerical algorithms for high-frequency wave scattering. This talk will begin with an overview of how semiclassical methods have influenced the theory of numerical methods for frequency-domain wave problems. As a case study, we will then focus on the finite element method (FEM), a classical approach for approximating solutions to high-frequency scattering problems. In FEM , the solution is typically approximated using piecewise polynomials of degree p on a mesh of width h. A fundamental question is then: how should h be chosen (as a function of the frequency, k) so that the error in the numerical solution is small? It has been known since the seminal work of Babuska and Ihlenberg that the natural conjecture hk<
- Speaker: Jeffrey Galkowski (UCL)
- Thursday 06 February 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Matthew Colbrook.
Thu 06 Feb 15:00: Numerical analysis of high frequency wave scattering via semiclassical analysis: a case study with non-uniform meshes
In recent years, semiclassical analysis has significantly advanced our understanding of numerical algorithms for high-frequency wave scattering. This talk will begin with an overview of how semiclassical methods have influenced the theory of numerical methods for frequency-domain wave problems. As a case study, we will then focus on the finite element method (FEM), a classical approach for approximating solutions to high-frequency scattering problems. In FEM , the solution is typically approximated using piecewise polynomials of degree p on a mesh of width h. A fundamental question is then: how should h be chosen (as a function of the frequency, k) so that the error in the numerical solution is small? It has been known since the seminal work of Babuska and Ihlenberg that the natural conjecture hk<
- Speaker: Jeffrey Galkowski (UCL)
- Thursday 06 February 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Matthew Colbrook.
Thu 05 Jun 15:00: Title to be confirmed
Abstract not available
- Speaker: Sergio Blanes (Universidad Politécnica de Valencia)
- Thursday 05 June 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 05 Jun 15:00: Title to be confirmed
Abstract not available
- Speaker: Sergio Blanes (Universidad Politécnica de Valencia)
- Thursday 05 June 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 12 Jun 15:00: Title to be confirmed
Abstract not available
- Speaker: Leonardo Tolomeo (University of Edinburgh)
- Thursday 12 June 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 12 Jun 15:00: Title to be confirmed
Abstract not available
- Speaker: Leonardo Tolomeo (University of Edinburgh)
- Thursday 12 June 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 23 Jan 15:00: Detecting and Attributing Change in Climate and Complex Systems: Foundations, Green's Functions, and Nonlinear Fingerprints
Detection and attribution (D&A) studies are cornerstones of climate science, providing crucial evidence for policy decisions. Their goal is to link observed climate change patterns to anthropogenic and natural drivers via the optimal fingerprinting method (OFM). We show that response theory for nonequilibrium systems offers the physical and dynamical basis for OFM , including the concept of causality used for attribution. Our framework clarifies the method’s assumptions, advantages, and potential weaknesses. We use our theory to perform D&A for prototypical climate change experiments performed on an energy balance model and on a low-resolution coupled climate model. We also explain the underpinnings of degenerate fingerprinting, which offers early warning indicators for tipping points. Finally, we extend the OFM to the nonlinear response regime. Our analysis shows that OFM has broad applicability across diverse stochastic systems influenced by time-dependent forcings, with potential relevance to ecosystems, quantitative social sciences, and finance, among others.
Key References V. Lucarini and M. D. Chekroun, Detecting and Attributing Change in Climate and Complex Systems: Foundations, Green’s Functions, and Nonlinear Fingerprints, Phys. Rev. Lett. 133, 244201 (2024) https://doi.org/10.1103/PhysRevLett.133.244201 V. Lucarini and M. D. Chekroun, Theoretical tools for understanding the climate crisis from Hasselmann’s programme and beyond, Nat. Rev. Phys. 5, 744 (2023) https://doi.org/10.1038/s42254-023-00650-8
- Speaker: Valerio Lucarini (University of Leicester)
- Thursday 23 January 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Matthew Colbrook.
Thu 23 Jan 15:00: Detecting and Attributing Change in Climate and Complex Systems: Foundations, Green's Functions, and Nonlinear Fingerprints
Detection and attribution (D&A) studies are cornerstones of climate science, providing crucial evidence for policy decisions. Their goal is to link observed climate change patterns to anthropogenic and natural drivers via the optimal fingerprinting method (OFM). We show that response theory for nonequilibrium systems offers the physical and dynamical basis for OFM , including the concept of causality used for attribution. Our framework clarifies the method’s assumptions, advantages, and potential weaknesses. We use our theory to perform D&A for prototypical climate change experiments performed on an energy balance model and on a low-resolution coupled climate model. We also explain the underpinnings of degenerate fingerprinting, which offers early warning indicators for tipping points. Finally, we extend the OFM to the nonlinear response regime. Our analysis shows that OFM has broad applicability across diverse stochastic systems influenced by time-dependent forcings, with potential relevance to ecosystems, quantitative social sciences, and finance, among others.
Key References V. Lucarini and M. D. Chekroun, Detecting and Attributing Change in Climate and Complex Systems: Foundations, Green’s Functions, and Nonlinear Fingerprints, Phys. Rev. Lett. 133, 244201 (2024) https://doi.org/10.1103/PhysRevLett.133.244201 V. Lucarini and M. D. Chekroun, Theoretical tools for understanding the climate crisis from Hasselmann’s programme and beyond, Nat. Rev. Phys. 5, 744 (2023) https://doi.org/10.1038/s42254-023-00650-8
- Speaker: Valerio Lucarini (University of Leicester)
- Thursday 23 January 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Matthew Colbrook.
Mon 03 Mar 18:00: Protein self-assembly – understanding and controlling the machinery of life
Proteins are the active molecules of life. However, most proteins do not work on their own in health or disease; a key challenge, therefore, is understanding how these molecules interact with each other to give rise to function or malfunction. This talk will outline our efforts to discover, understand and use the basic principles that drive protein assembly into larger scale structures and phases. I will discuss how controlling transitions between such phases can help us ameliorate biological malfunction when it occurs in disease, and well as develop new classes of functional materials.
- Speaker: Professor Tuomas Knowles, Yusuf Hamied Department of Chemistry
- Monday 03 March 2025, 18:00-19:00
- Venue: Bristol-Myers Squibb Lecture Theatre, Department of Chemistry.
- Series: Cambridge Philosophical Society; organiser: Beverley Larner.
Mon 03 Mar 18:00: Protein self-assembly – understanding and controlling the machinery of life
Proteins are the active molecules of life. However, most proteins do not work on their own in health or disease; a key challenge, therefore, is understanding how these molecules interact with each other to give rise to function or malfunction. This talk will outline our efforts to discover, understand and use the basic principles that drive protein assembly into larger scale structures and phases. I will discuss how controlling transitions between such phases can help us ameliorate biological malfunction when it occurs in disease, and well as develop new classes of functional materials.
- Speaker: Professor Tuomas Knowles, Yusuf Hamied Department of Chemistry
- Monday 03 March 2025, 18:00-19:00
- Venue: Bristol-Myers Squibb Lecture Theatre, Department of Chemistry.
- Series: Cambridge Philosophical Society; organiser: Beverley Larner.
Wed 12 Mar 18:00: Towards a Net Zero World: Developing and applying new tools to understand how materials for Li and “beyond-Li” battery technologies function
This talk will start by describing existing battery technologies, what some of the current and more long-term challenges are, and touch on strategies to address some of the issues. I will then focus on my own work – together with my research group and collaborators – to develop new characterisation (NMR, MRI , and X-ray diffraction and optical) methods that allow batteries to be studied while they are operating (i.e., operando). These techniques allow transformations of the various cell components to be followed under realistic conditions without having to disassemble and take apart the cell. We can detect key side reactions involving the various battery materials, in order to determine the processes that are responsible ultimately for battery failure. We can watch ions diffusing in, and moving in and out of, the active “electrode” materials that store the (lithium) ions and the electrons, to understand how the batteries function. Finally, I will discuss the challenges in designing batteries that can be rapidly charged and discharged.
- Speaker: Professor Clare P. Grey
- Wednesday 12 March 2025, 18:00-19:00
- Venue: Bristol-Myers Squibb Lecture Theatre, Department of Chemistry.
- Series: Cambridge Philosophical Society; organiser: Beverley Larner.
Wed 12 Mar 18:00: Towards a Net Zero World: Developing and applying new tools to understand how materials for Li and “beyond-Li” battery technologies function
This talk will start by describing existing battery technologies, what some of the current and more long-term challenges are, and touch on strategies to address some of the issues. I will then focus on my own work – together with my research group and collaborators – to develop new characterisation (NMR, MRI , and X-ray diffraction and optical) methods that allow batteries to be studied while they are operating (i.e., operando). These techniques allow transformations of the various cell components to be followed under realistic conditions without having to disassemble and take apart the cell. We can detect key side reactions involving the various battery materials, in order to determine the processes that are responsible ultimately for battery failure. We can watch ions diffusing in, and moving in and out of, the active “electrode” materials that store the (lithium) ions and the electrons, to understand how the batteries function. Finally, I will discuss the challenges in designing batteries that can be rapidly charged and discharged.
- Speaker: Professor Clare P. Grey
- Wednesday 12 March 2025, 18:00-19:00
- Venue: Bristol-Myers Squibb Lecture Theatre, Department of Chemistry.
- Series: Cambridge Philosophical Society; organiser: Beverley Larner.
Thu 29 May 15:00: Title to be confirmed
Abstract not available
- Speaker: Alberto Paganini (University of Leicester)
- Thursday 29 May 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.
Thu 29 May 15:00: Title to be confirmed
Abstract not available
- Speaker: Alberto Paganini (University of Leicester)
- Thursday 29 May 2025, 15:00-16:00
- Venue: Centre for Mathematical Sciences, MR14.
- Series: Applied and Computational Analysis; organiser: Georg Maierhofer.