A number of minisymposia will be scheduled during the parallel sessions. Each minisymposium should consist of a multiple of three 20 minute presentations.

If you are interested in organising a minisymposium, in any branch of Numerical Analysis or a cognate area, please fill in the form below.

• Please supply the title of your proposed minisymposium along with a brief abstract and a tentative list of speakers, along with the affiliation of each speaker.
• Please note that individuals are limited to one presentation, either a minisymposium talk or a contributed talk.
• Organisers are encouraged to ensure that the speakers represent a broad spectrum of research experience.
• Authors will advised of acceptance of proposals by email shortly after submission.
• The deadline for submission of minisymposium topics is March 31 2025.
• Abstracts from contributors should be submitted by April 30th 2025. and should use the template provided (2k, tex).

Accepted Minisymposia

Numerical methods for surface and interface dynamics

Organisers: Buyang Li (Hong Kong Polytechnic University, Hong Kong) and Rong Tang (Hong Kong Polytechnic University, Hong Kong)

Speakers: Fabian Heimann (University College London), Bjorn Stinner (University of Warwick), Guangwei Gao (Hong Kong Polytechnic University), Chandrasekhar Venkataraman (University of Sussex), Andrea Bonito (Texas A&M University), Guosheng Fu (University of Notre Dame), Shawn W. Walker (Louisiana State University), Balázs Kovács (University of Paderborn), Yifei Li (University of Tübingen), Paola Pozzi (University of Duisburg-Essen), Bangwei She (Capital Normal University), Rong Tang (Hong Kong Polytechnic University)

Abstract: The dynamics of interface and boundary in partial differential equations (PDEs) are of paramount importance in various applications. Efficient numerical methods and rigorous numerical analysis for solving these PDEs have both theoretical and practical values. This mini-symposium aims to discuss recent advances in numerical methods and applications related to moving surface and interface problems, such as PDEs with moving boundary/interface problems, surface evolution in geometric flows, and fluid-structure interactions, among others.

Advances on nonstandard Galerkin methods - part 1

Organiser: Zhaonan Dong (INRIA Paris)

Speakers: Lina Zhao (City University Hong Kong), Andrea Cangiani (SISSA, Trieste), Andreas Rupp (Saarland University), Guosheng Fu (Notre-Dame University), Geraldine Pichot (INRIA Paris), Scott Congreve (Charles University Prague), Tien Ngoc Tran (University Augsburg), Philip Herbert (University of Sussex), Christian Döding (University of Bonn)

Abstract: In this minisymposium, we aim at gathering researchers working in the field of nonconforming Galerkin methods. Among possible topics of interest, we list: nonconforming finite element methods; immersed Galerkin methods; nonpolynomial based Galerkin methods; cut finite elements; PDE properties-preserving (positivity, conservation, divergence-preserving...) methods. This is part 1 of a series of two minisymposia on nonconforming methods.

Advances on nonstandard Galerkin methods - part 2

Organiser: Lorenzo Mascotto (University of Milano-Bicocca)

Speakers: Ruchi Guo (Sichuan University), Weifeng Qiu (City University Hong Kong), Paul Ledger (Leicester University), Tristan Pryer (Bath University), Simon Lemaire (INRIA Lille), Sara Zahedi (KTH Stokholm), Manolis Georgoulis (National Uni Athens - Heriot-Watt University), Wietse Boon (NORCE Norwegian Research Centre), Philip Lederer (University Hamburg)

Abstract: In this minisymposium, we aim at gathering researchers working in the field of nonconforming Galerkin methods. Among possible topics of interest, we list: nonconforming finite element methods; immersed Galerkin methods; nonpolynomial based Galerkin methods; cut finite elements; PDE properties-preserving (positivity, conservation, divergence-preserving...) methods. This is part 2 of a series of two minisymposia on nonconforming methods.

Numerical Methods for Mean Field Games

Organisers: Yohance Osborne (Durham University), Iain Smears (University College London) and Harry Wells (University College London)

Speakers: Elisa Calzola (Rome Sapienza), Harry Wells (University College London), Ahmad Zorkot (University of Limoges), E. Carlini (Rome Sapienza), Indranil Chowdhury (Indian Institute of Technology Kanpur), Diogo Gomes (KAUST Saudi Arabia)

Abstract: Mean field games are a system of nonlinear partial differential equations (PDEs) that model Nash equilibria of stochastic differential games involving a large numbers of players. They find applications across many fields, including mathematical biology, engineering, economics, and finance. This minisymposium will present recent developments in the design and analysis of discretisation methods for these problems to address the many numerical challenges encountered, such as structure preservation, first-order systems, nonlocal diffusions, error analysis and convergence rates, and nonsmoothness of the nonlinearities.

Interplay of solvers, discretisations and geometries in the numerical approximation of eigenvalue problems

Organisers: Fleurianne Bertrand (TU Chemnitz) and Philipp Zilk (Universität der Bundeswehr München)

Speakers: Davide Pradovera (KTH Royal Institute of Technology), Tugay Dagli (TU Chemnitz), Arbaz Kahn (Indian Institute of Technology Roorkee), Luca Grubišić (University of Zagreb), Nils Friess (Universität Heidelberg), Henrik Schneider (Universität Duisburg Essen)

Abstract: The numerical approximation of eigenvalue problems for partial differential equations (PDEs) plays a critical role in diverse scientific and engineering applications, such as wave propagation, structural mechanics, and material sciences. This mini-symposium aims to delve into the intricate interplay between solvers, cutting-edge numerical methods, and geometries that influence the accuracy and efficiency of eigenvalue computations.

High-order and hp- numerical methods for PDEs

Organiser: Scott Congreve (Charles University)

Speakers: Zhaonan Dong (INRIA Paris) Lorenzo Mascotto (University of Milano-Bicocca) Marialetizia Mosconi (University of Milano-Bicocca) Ani Miraçi (TU Wien) Charles Parker (University of Oxford) Thomas Radley (University of Montpellier) Manuel Colera Rico (Universidad Politécnica de Madrid) Zuodong Wang (INRIA Paris) Thomas P. Wihler (University of Bern)

Abstract: High-order numerical methods can provide more accurate solutions to PDEs for less computational resources when compared to low order methods for sufficiently smooth solutions. Additionally, hp-methods for mesh-based numerical methods provide a technique for combining high-order approximations in smooth analytical regions with low order approximations near singularities or interfaces. In this minisymposium we aim to discuss recent developments in the implementation and analysis of high-order and hp- methods for PDEs along with techniques for adaptive refinement in hp-methods.

Recent Advances in Randomised Numerical Linear Algebra

Organisers: Yuji Nakatsukasa (University of Oxford) and Taejun Park (University of Oxford)

Speakers: Stefan Güttel (University of Manchester), Malena Landman (University of Oxford), Liam Burke (Charles University), Taejun Park (University of Oxford), Alice Cortinovis (University of Pisa), Nathaniel Pritchard (University of Oxford), Diana Halikias (Cornell University), Lorenzo Lazzarino (University of Oxford), Alberto Bucci (Charles University)

Abstract: Randomised numerical linear algebra (RandNLA) is a rapidly emerging field that leverages probabilistic techniques to address large-scale linear algebraic problems efficiently. Recent advancements in this area have showcased remarkable improvements in speed, accuracy, and robustness for tasks such as low-rank approximations, least-squares problems, trace and determinant computation and diagonal estimation. This minisymposium aims to bring together researchers in RandNLA to share recent progress, discuss challenges and exchange ideas.

Recent developments in numerical integration, function approximation, and their applications in uncertainty quantification

Organisers: Yoshihito Kazashi (University of Strathclyde) and Yuya Suzuki (Aalto University)

Speakers: Motonobu Kanagawa (EURECOM France) Toni Karvonen (LUT Finland) Max Orteu (FU Berlin) Zexin Pan (RICAM Austria) Yuya Suzuki (Aalto University) Liu Yang (KAUST Saudi Arabia)

Abstract: This minisymposium highlights recent advancements in numerical integration, function approximation, and their applications in uncertainty quantification (UQ). Key topics include quasi-Monte Carlo methods and their applications to high-dimensional problems, as well as statistical learning techniques. Presentations will explore the interplay between numerical methods and the reliability of UQ.

Recent Advances in Numerical Methods for Modern Materials

Organisers: Heiko Gimperlein (University of Innsbruck) and Ruma Rani Maity (University of Innsbruck)

Speakers: Neela Nataraj (IIT Bombay), Apala Majumdar (University of Strathclyde), Shuo Yang (Beijing Institute of Mathematical Sciences and Applications), Michele Ruggeri (University of Bologna), Prabakaran Rajamanickam (University of Strathclyde), Vanessa Lleras (University of Montpellier 2), Ruma Rani Maity (University of Innsbruck)

Abstract: This minisymposium explores recent advances in numerical methods for complex materials governed by nonlinear variational principles. Topics include finite element analysis, uncertainty quantification, and energy minimization techniques for problems including liquid crystals, nonlinear elasticity or magnetoelastic materials. The session aims to encourage discussions on theoretical developments and computational strategies, and facilitate collaborations.

Special Numerical Linear Algebra: Numerical advances at the interface of linear algebra and special functions

Organisers: Timon S. Gutleb (University of Leeds) and Marcus Webb (University of Manchester)

Speakers: Timon S. Gutleb (University of Leeds), Marcus Webb (University of Manchester), Sheehan Olver (Imperial College London) Richard Mikael Slevinsky (University of Manitoba), Geoff Vasil (University of Edinburgh), Jiajie Yao (University of Leicester), Daniel VandenHeuvel (Imperial College London), Cade Ballew (University of Washington), Astrid Herremans (KU Leuven)

Abstract: Recent advances in the numerical computation and use of special functions, including hypergeometric functions and orthogonal polynomials, have highlighted its deep theoretical and practical connections with linear algebra. This mini symposium aims to gather researchers working at this intersection to discuss the numerical analysis and unique advantages and challenges of these approaches.

Numerical analysis for nonlinear PDEs

Organisers: Soeren Bartels (Universität Freiburg) and Max Jensen (University College London)

Speakers: Abner Salgado (University of Tennessee, Knoxville), Michele Alde (TU Wien), Tabea Tscherpel (TU Darmstadt), Johannes Storn (Universität Bielefeld), Lukas Gehring (Friedrich-Schiller-Universität Jena), Ivan Majic (University College London)

Abstract: The minisymposium aims at bringing together numerical analysts who are interested in developing and analyzing numerical methods for nonlinear partial differential equations. Particular examples include nonsmooth problems, equations in nondivergence form, and variational formulations with pointwise constraints.

Recent advances in numerical linear algebra with insights from scientific machine learning

Organisers: James Jackaman (NTNU) and Jemima Tabeart (TU Eindhoven)

Speakers: Paz Fink Shustin (University of Oxford), Eike Müller (University of Bath), Ann Paterson (University of Strathclyde), Scott MacLachlan (Memorial University of Newfoundland), Sebastian Scott (University of Würzburg), Sebastian Esche (TU Chemnitz)

Abstract: In recent years, machine learning has significantly impacted numerical analysis. While exciting advancements have been made for enhancing solutions and driving dynamics, these methods can have large errors due to difficulties in solving to high precision or difficulties optimising to a very high accuracy. Recently, there has been a spike in interest in advancing iterative solvers with neural networks, which is a promising emerging field due to the low precision to which iterative solvers need to be designed. In this MS, we explore this topic, in addition to other recent advances to numerical linear algebra.

Advanced numerical techniques for kinetic equations

Organisers: Giacomo Borghi (Heriot-Watt University), Andrea Medaglia (University of Oxford)

Speakers: Giulia Bertaglia (University of Ferrara), Jingwei Hu (University of Washington), Tino Laidin (Laboratoire de Mathématiques Bretagne Atlantique), Mohsen Sadr (ETH, Zurich), Lorenzo Pareschi (Heriot-Watt University), Domenico Caparello (Université Côte d’Azur, Nice)

Abstract: Kinetic equations are essential for modeling rarefied gases, charged particle dynamics, and multi-agent systems, with applications in fields such as fusion reactors, liquid crystals, and aerospace engineering. Their numerical simulation is challenging due to the high dimensionality of the phase space and the need to preserve key physical quantities like mass, charge, momentum, and energy, while ensuring structures such as entropy dissipation. To effectively address these difficulties, methods based on a direct discretization of the PDE, like finite differences/volumes, semi-Lagrangian or Fourier spectral schemes, and methods based on a particle approximation of the distribution function, like PIC schemes, Monte Carlo, and deterministic particle methods, are employed. This mini-symposium will focus on innovative algorithms and computational techniques for solving kinetic equations, highlighting applications across numerical analysis, computational physics, and applied mathematics.

Numerical methods for PDEs on curved domains or surfaces

Organiser: Jiashun Hu (Hong Kong Polytechnic University)

Speakers: Michel Duprez (Inria Strasbourg), Stefan Frei (University of Konstanz), Jiashun Hu (Hong Kong Polytechnic University), Chuwen Ma (Shanghai Jiao Tong University), Achilles Mavrakis (University of Warwick),  Surendra Nepal (Linnaeus University), Qiqi Rao (Hong Kong Polytechnic University), Tom Sales (University of Warwick), Paul Schwering (RWTH Aachen University)

Abstract: PDEs on curved domains and surfaces play a fundamental role in numerous scientific and engineering disciplines. This minisymposium brings together researchers to explore recent advances in both fitted and unfitted numerical methods, emphasizing their applications in PDEs on surfaces, curved geometries, and complex problems such as fluid-structure interactions. The discussions will highlight cutting-edge techniques, theoretical developments, and emerging challenges in this rapidly evolving field.

Iterative methods and preconditioners for (multiple) saddle point linear systems

Organisers: Luca Bergamaschi (University of Padua), Angeles Martinez (University of Trieste)

Speakers: Luca Bergamaschi (University of Padua), Michael Koch (Hamburg University of Technology), Angeles Martinez (University of Trieste), Federica Mugnaioni (Scuola Normale Superiore, Pisa), John Pearson (The University of Edinburgh), Andreas Potschka (Clausthal University of Technology)

Abstract: There are several relevant applications that, after discretization, lead to multiple saddle point linear systems. These include liquid crystal director modeling, the coupled Stokes-Darcy problem, the mixed form of Biot's poroelasticity equations, and (PDE)-constrained optimization problems. Multiple saddle point systems and preconditioning strategies for their efficient solution have attracted wide interest of late. This mini-symposium aims at bringing together researchers who work on these or other mathematical models, as well as on the linear algebra topics connected to their numerical solution (eigenvalue distribution of the preconditioned matrices and field-of-value analysis, among others).

Structure-preserving finite element methods

Organisers: Boris Andrews (University of Oxford), Charles Parker (University of Oxford)

Speakers: Boris Andrews (University of Oxford), Aaron Brunk (Johannes Gutenberg-Universität Mainz), Franziska Eickmann (TU Darmstadt), Mingdong He (University of Oxford), Kaibo Hu (University of Edinburgh), Rami Masri (Brown University)

Abstract: Many physical systems are governed by fundamental physical structures—conservation laws, dissipation inequalities, maximum principles, pressure robustness, etc. Structure-preserving discretisations maintain these essential properties at the discrete level, not only ensuring physical fidelity but often yielding superior numerical stability and reliability. Developing such discretisations, however, presents a significant challenge. In this minisymposium, we will explore recent advancements in structure-preserving finite element methods across diverse applications. Presentations will showcase innovative methods, the analysis of new and existing schemes, aspects of practical implementation (including efficient algorithms and preconditioning techniques) and novel applications.

Numerical methods for optimization with PDE constraints

Organisers: Estefania Loayza Romero (University of Strathclyde) and John Pearson (University of Edinburgh)

Speakers: Bernhard Heinzelreiter (University of Edinburgh), Dante Kalise (Imperial College London), Estefania Loayza-Romero (University of Strathclyde), Andrés Miniguano (University of Edinburgh), Kathrin Welker (Helmut-Schmidt-Universität Hamburg), Manuel Weiß (University of Heidelberg), Heidi Wolles Ljosheim (University of Edinburgh), Zhengang Zhong (University of Warwick)

Abstract: Optimization problems involving partial differential equations (PDEs) govern a wide range of physical processes—from optimizing structural cooling systems to identifying interior properties through external measurements to generating accurate weather forecasts from observational data. Such problems lead to significant numerical challenges, which are intensified when the constraints and objectives are nonlinear or time-dependent. Advanced algorithms are essential for addressing these challenges. These methods are engineered to manage large-scale computations, navigate complex solution landscapes with multiple minima, and provide robust solutions despite uncertainties. Such capabilities make them crucial tools for solving real-world optimization problems. This mini-symposium showcases recent advances in numerical methods for PDE-constrained optimization problems. We place particular emphasis on approaches that effectively handle large-scale problems, nonconvex objective functions, and geometric unknowns.

Numerical methods for fractional-derivative problems

Organisers: Natalia Kopteva (University of Limerick), Yubin Yan (University of Chester)

Speakers: James Hoult (University of Chester), Yanghong Huang (University of Manchester), Sean Kelly (University of Limerick), Natalia Kopteva (University of Limerick), Markus Melenk (TU Wien), Ercilia Sousa (University of Coimbra), Yubin Yan (University of Chester)

Abstract: In recent years there has been an explosion in the number of published papers dealing with numerical methods for fractional-derivative problems, but the rigorous analysis of such methods has many open questions. This mini-symposium brings together several fractional-derivative experts to present and discuss recent developments in this fast-changing area.

Advances in Linear Algebra and Preconditioners

Organisers: Ann Paterson (University of Strathclyde) and Razan Abu-Labdeh (University of Strathclyde)

Speakers: Niall Bootland (STFC Rutherford Appleton Laboratory), Yang Liu (University of Oxford), Tom-Christian Riemer (Chemnitz University of Technology), Fei Chen (Trinity College Dublin), Kirk Soodhalter (Trinity College Dublin), Razan Abu-Labdeh (University of Strathclyde)

Abstract: Solving large-scaled linear(ized) systems of equations, that are seen in many real-world applications spanning fields as engineering, physics and data science, is crucial. Pairing iterative solvers with appropriate preconditioners is well-known to lead to an increase in both the convergence rate and efficiency of the numerical method. This minisymposium highlights recent advancements in linear algebra, with a particular interest on preconditioning techniques. We aim to explore discussions on emerging trends in areas such as theoretical convergence analysis of preconditioned systems, preconditioner designs and strategies, and preconditioned algorithmic innovations and challenges.