Invited Conference/Workshop Talks
- Moving Mesh Methods for Implicit Moving Boundary Problems,
Gothenburg (ADMOS 2023), 20th June 2023.
- Adapive Moving Meshes for Hyperbolic PDEs,
ICMS, Edinburgh (Adaptive Moving and Anisotropic Meshes for the Numerical Approximation of PDEs), 13th May 2022.
- Moving Mesh Methods for Implicit Moving Boundary Problems,
Online (ADMOS 2021), 22nd June 2021.
- Moving Mesh Algorithms for Time-Dependent Hyperbolic Conservation Laws,
El Campello (ADMOS 2019), 28th May 2019.
- Space-Time Residual Distribution Schemes on Moving Meshes,
University of Cambridge (Phil Roe's 80th Birthday Workshop), 4th July 2018.
- Continuous and Discontinuous Approaches to Moving Mesh Finite Elements,
Banff International Research Station (Adaptive Numerical Methods for PDEs with Applications), 28th May 2018.
- A Multiscale, Multiphase Model of Drug Transport and Tumour Response,
Heriot-Watt University (UKIERI Workshop on Multiscale Hierarchy and Heterogeneity in Biological Tissue), 7th December 2015.
- Modelling Complex Interactions in Biological Systems,
University of Leeds (Predictions in Oncology Workshop), 19th October 2012.
- Fluctuation Distribution Schemes,
University of Zaragoza (Lectures on Computational Fluid Dynamics), 24th/25th March 2010.
- From Fluxes to Fluctuations: Integral-Based Methods for CFD,
Oxford (ICFD 25th Anniversary Meeting), 16th September 2008.
- Genuinely Multidimensional Godunov-Type Schemes: A Discontinuous Fluctuation Splitting Approach,
University of Cambridge (Godunov Methods in Computational Engineering and Technology), 20th September 2006.
- An Adaptive Finite Volume Method for Coastal Flows,
University of Cambridge (A First Course on CFD), 28th June 2006.
- Treatment of Forcing/Source Terms,
University of Cambridge (A First Course on CFD), 28th June 2006.
- Positivity Preserving Finite Element Methods for Hyperbolic Problems,
Newton Institute, Cambridge (Workshop on Very High Order Methods for Hyperbolic Problems), 30th May 2003.
- Roe's Scheme and Adaptive Mesh Refinement for Coastal Engineering Problems,
Oxford (ICFD Meeting), 15th December 1999.
- Multidimensional Upwind Schemes for the Shallow Water Equations,
Zaragoza (Numerical Modelling of Hydrodynamic Systems), 23rd/24th June 1999.
- Multidimensional Upwinding for the Shallow Water Equations,
University of Bradford (IAHR), 16th October 1996.
Invited Seminars
- Moving Mesh Methods for Evolutionary Partial Differential Equations,
University of Leeds (Computational Science Seminar), 5th March 2021.
- Continuous and Discontinuous Approaches to Moving Mesh Finite Elements,
University of Leicester (Mathematics Seminar), 4th October 2018.
- Modelling Drug Delivery and Tumour Growth,
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University of Stirling (Computing Science Seminar), 2nd December 2016.
- Modelling Drug Delivery and Tumour Growth,
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University of Greenwich (Leslie Comrie Seminar), 11th December 2014.
- Computational Modelling of Drug Delivery and Tumour Growth,
University of Nottingham (Intelligent Modelling and Analysis Seminar), 3rd December 2014.
- Residual Distribution Schemes for Hyperbolic Conservation Laws,
University of Leeds (Applied Mathematics Seminar), 1st October 2012.
- Computational Modelling of Tumour Growth,
University of Aberystwyth (Computer Science Seminar), 30th January 2012.
- A Computational Model of Vascular Tumour Growth,
University of Oxford (Computational Biology Seminar), 13th May 2011.
- Moving Mesh Methods for Moving Boundary Problems,
University of Bordeaux (INRIA Seminar), 22nd January 2009.
- Non-Oscillatory Third Order Fluctuation Splitting Schemes,
University of Leicester (Maths Department Seminar), 15th December 2005.
- A Moving Mesh Finite Element Algorithm for Time-Dependent Partial Differential Equations with Moving Boundaries,
University of Strathclyde, (Maths Department Seminar), 5th May 2004.
- Flux-Based Schemes and Approximating Source Terms in Shallow Water Flows,
University of Nottingham (Civil Engineering Department Seminar), 24th March 2004.
- Moving Mesh Methods for Nonlinear Diffusion Equations,
University of Reading (Maths Department Seminar), 28th February 2003.
- Improving the Accuracy of Finite Volume Schemes: Multidimensional Limiters and Source Terms,
University of Leicester (Maths and Computer Science Department Seminar), 16th March 2000.
- Improving the Accuracy of Finite Volume Schemes: Multidimensional Limiters and Source Terms,
University of Reading (Maths Department Seminar), 14th January 2000.
- Multidimensional Upwind Schemes for Conservation Laws,
University of Wales Swansea, (Computer Science Department Colloquium), 24th November 1998.
- An Adaptive Numerical Model for Two-dimensional Shallow Water Flows with Moving Boundaries,
HR Wallingford Ltd., 18th September 1998.
- Multidimensional Upwind Schemes for Conservation Laws,
University of Zaragoza, 8th June 1998.
- Multidimensional Upwind Schemes for Conservation Laws,
UMIST (Mechanical Engineering Department Seminar), 19th November 1997.
- Multidimensional Upwind Schemes for Conservation Laws,
University of Reading (Maths Department Seminar), 7th November 1997.
- Multidimensional Upwind Schemes for Conservation Laws,
University of Bristol (Maths Department Seminar), 8th May 1997.
- Genuinely Multidimensional Upwind Schemes for the Euler Equations,
DRA Farnborough, 15th June 1994.
- Genuinely Multidimensional Upwind Schemes for the Euler Equations,
University of Reading (Maths Department Seminar), 15th October 1993.
Other Conference Talks
- A Parallel Adaptive Multigrid Approach to Simulating Phase-Field Problems,
Montreal (USNCCM14), 19th July 2017.
- Space-Time Residual Distribution Schemes on Moving Meshes,
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Strathclyde (Numerical Analysis Conference), 27th June 2013.
- Runge-Kutta Residual Distribution Schemes,
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Bordeaux (HONOM13), 19th March 2013.
- Unconditionally Positive, Space-Time, Residual Distribution Schemes for Hyperbolic Conservation Laws,
Las Vegas (SCA2012), 3rd April 2012.
- Residual Distribution for Shallow Water Flows,
Santiago de Compostela (Numerical Methods for Hyperbolic Equations Conference), 5th July 2011.
- Discontinuous Fluctuation Distribution: A Route to Unconditional Positivity and High Order Accuracy,
Reading (ICFD Conference), 13th April 2010.
- An Unconditionally Positive Scheme for Time-Dependent Hyperbolic Conservation Laws,
Strathclyde (Numerical Analysis Conference), 23rd June 2009.
- Discontinuous Fluctuation Distribution for Time-Dependent Problems,
Seoul (ICCFD Conference), 7th July 2008.
- A Moving Mesh Finite Element Approach to Phase Change Problems,
Dundee (Numerical Analysis Conference), 28th June 2007.
- A Framework for Discontinuous Fluctuation Distribution,
Reading (ICFD Conference), 26th March 2007.
- Very High Order, Non-Oscillatory Fluctuation Distribution Schemes,
Ghent (ICCFD Conference), 10th July 2006.
- Positive High Order Schemes for Multidimensional Hyperbolic Conservation Laws,
Brunel (MAFELAP), 16th June 2006.
- Non-Oscillatory Third Order Fluctuation Splitting Schemes,
Marrakech (FVCA Conference), 7th July 2005.
- Moving Mesh Finite Elements for Moving Boundary Problems,
Dundee (Numerical Analysis Conference), 29th June 2005.
- Scale-Invariant Moving Mesh Finite Elements for Fluid Flow Problems with Moving Boundaries,
Swansea (FEF Conference), 5th April 2005.
- A Moving Mesh Finite Element Algorithm for Fluid Flow Problems with Moving Boundaries,
Oxford (ICFD Conference), 30th March 2004.
- A Moving Mesh Finite Element Method for Nonlinear Diffusion Equations,
Dundee (Numerical Analysis Conference), 24th June 2003.
- A Positivity Preserving Finite Element Method for Hyperbolic Partial Differential Equations,
Sydney (ICCFD Conference), 18th July 2002.
- Extending the Stencil for Higher Order Fluctuation Splitting Schemes,
University of Bordeaux (Workshop), 18th June 2002.
- High Order Fluctuation Distribution Schemes on Triangles,
University of Reading (BAMC), 5th April 2001.
- Adaptive Mesh Refinement for Three-Dimensional Off-Line Tracer Advection over the Sphere,
Oxford (ICFD Conference), 28th March 2001.
- Adaptive Mesh Refinement for Three-Dimensional Off-Line Chemical Transport,
Royal Institution, (UGAMP Conference), 19th September 2000.
- Balancing Source Terms and Flux Gradients in Finite Volume Schemes,
Oxford, (Godunov Methods: Theory and Applications), 20th October 1999.
- Multidimensional Upwind Fluctuation Distribution Schemes for Time Dependent Problems,
Oxford (ICFD Conference), 31st March 1998.
- Multidimensional Upwinding and Grid Adaptation,
Oxford (ICFD Conference), 5th April 1995.
Other Talks
- Velocity-Based Moving Mesh Algorithms for Moving Boundary Problems,
University of Nottingham (Finite Element Coffee), 7th July 2020.
- An Uncertain Route Towards Multidimensional, Multiphase, Multiscale Computation,
University of Nottingham (Centre for Mathematical Medicine and Biology), 6th November 2018.
- Moving-Mesh Finite Elements for Moving Boundary Problems,
University of Nottingham (Mathematics and Computation Seminar), 20th January 2016.
- ALE Schemes, the GCL and Space-Time,
University of Nottingham (Mathematics and Computation Seminar), 19th January 2016.
- Numerical Methods for Multidimensional Hyperbolic Conservation Laws,
University of Nottingham (Mathematics and Computation Seminar), 6th November 2014.
- An Adaptive Algorithm for Simulating Fluid Flow,
University of Leeds (Computational Science and Engineering Seminar), 13th December 2013.
- Quantitative Cancer Therapeutics,
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University of Leeds (Scientific Computing Seminar), 8th February 2013.
- Computational Modelling (of Cancer): the Scientific Computing Way,
University of Leeds (School of Computing Colloquium), 16th February 2012.
- A Computational Model of Vascular Tumour Growth,
University of Leeds (Scientific Computing Seminar), 1st April 2011.
- Computational Simulation of Vascular Tumour Growth,
University of Leeds (MathBiol Seminar), 9th November 2010.
- Numerical Simulation of Vascular Tumour Growth,
University of Leeds (School of Computing Away Day), 10th November 2009.
- A Bluffer's Guide to Approximating Conservation Laws,
University of Leeds (School of Computing Away Day), 7th November 2007.
- Discontinuous Fluctuation Splitting,
University of Leeds (Scientific Computing Seminar), 6th October 2007.
- Finite Volume Schemes: A Tutorial,
University of Leeds (Scientific Computing Seminar), 27th January 2006.
- Accurate and Efficient Modelling of Multidimensional Fluid Flows,
University of Leeds (School of Computing Away Day), 12th November 2002.
- Fluctuation Splitting Methods for Hyperbolic PDEs,
University of Leeds (Scientific Computing seminar), 25th January 2002.
- 3D AMR for Scalar Advection on the Sphere,
University of Reading (Meteorology Department, CGAM meeting), 18th January 2000.
- Balancing Source Terms with Flux Gradients,
University of Reading, 28th October 1998.
- An Introduction to Multidimensional Upwinding for Conservation Laws,
University of Oxford (ICFD), 15th December 1995.
- Grid Movement - Practical Examples,
University of Reading (ICFD), 18th November 1994.
- An Introduction to TVD Schemes - Two Dimensions,
University of Reading (ICFD), 21st October 1994.
- Multidimensional Upwinding for the Euler Equations,
University of Bath (Graduate Student Symposium), 1st July 1994.
- Grid Adaption in the Context of Multidimensional Upwinding,
University of Reading (ICFD), 3rd June 1994.
Posters
- A Multiscale Model of Drug Delivery to Tumours,
Edinburgh, ICMS Workshop on Computational and Multiscale Mathematical Modelling of Cancer Growth and Spread, 22nd June 2015.
- Development of a Mathematical Model for Drug Delivery to Tumours,
Liverpool, 7th NCRI Cancer Conference, 8th November 2011.
- Moving Mesh Methods for Solving Parabolic PDEs,
Reading (ICFD Conference), 14th April, 2010.
- Experimental Insights into Dam Break Outburst Floods,
Sheffield, 34th Annual Meeting of the British Branch of the International Glaciological Society, 3rd September 2009.
- Experimental Modelling of Flow - Bed Interactions in Jökulhlaups,
Vienna (EGU Conference), 22nd April 2009.
- Experimental Modelling of Outburst Flood - Bed Interactions,
Vienna (EGU Conference), 22nd April 2009.
- Least Squares Methods and Grid Adaptation for Solving Hyperbolic Partial Differential Equations,
Oxford (ICFD Conference), 1st April 1998.
- Multidimensional Upwinding for the Euler Equations,
Oxford (Shock Wave Physics Conference), 15th September 1997.
- Multidimensional Upwinding and Grid Adaptation,
Oxford (ICFD Conference), 5th April 1995.