Maciej Paszynski

Full Professor of Computer Science

Ph.D. in Mathematics with Applications to Computer Science

h-index: 22 (Web of Science) 23 (Scopus) 28 (Google Scholar)

Erdös number: 4 (Paszynski -> Andrew Lenharth -> Richard E. Ladner -> Laszlo Lovasz)

Phone: 48-12-328-3314

Email: maciej dot paszynski at agh dot edu dot pl

ORCID: 0000-0001-7766-6052

ResearcherID: H-8883-2012

Scopus: 23393712700

Address:

Faculty of Computer Science

ul.Kawiory 21 Building D-17 Office 2.23

AGH University of Krakow

30-059, Poland

AGH TED Talk (in Polish) (Przydatne symulacje komputerowe: smog, pandemia, powodzie i nowotwory)

Introduction to simulations (in Polish) (Malopolska Noc Naukowcow 2020)

Every year, since 2003, I visit Oden Institute (rank #1 in the world), The University of Texas at Austin, USA mostly under JTOden Research Faculty Fellowship program

I am a full professor at Faculty of Computer Science, AGH University of Krakow, Poland. I obtained my PhD in Mathematics with Applications to Computer Science from Jagiellonian University, and my Habilitation in Computer Science from AGH University of Science and Technology. With my research group "Adaptive Algorithms and Systems (A2S)" we perform research oriented towards the applications of artificial intelligence (AI) and high-performance computing (HPC) in advanced simulations.

I am a precursor in Poland of modern computer simulation methods called isogeometric analysis . I started researching these methods in 2011 while working in an international team to determine the cost of making such simulations. It turned out then that the computer simulation methods used require very long computation times on large computers from supercomputing centers to obtain accurate simulations. Additionally, they require problem specific stabilization methods to obtain reliable simulation results. In the field of isogeometric analysis, I discovered a new, automatically stable, low-cost way to perform challenging computer simulations on a regular laptop. Recently, I am also researching using Deep Neural Networks in computational science.

My Ph.D. students

I am an Editor of Journal of Computational Science (Elsevier)

I am an Editor of Computers and Mathematics with Applications (Elsevier)

I am the thematic track chair of the International Conference on Computational Science

Since 2010, I co-chair the Artificial Intelligence and High-Performance Computing for Advanced Simulations Workshop

Most important recent papers:

Matrix-by-matrix multiplication algorithm with O(N^2log_2(N)) computational complexity for variable precision arithmetic(is it really possible to multiply matrices in quadratic cost?)

Collocation-based Robust Variational Physics-Informed Neural Networks (CRVPINN)(collocation method for fast and robust VPINNs)

Graph-grammars and Physics Informed Neural Networks for simulating of pollution propagation on Spitzbergen(my tickets to Spitzbergen)

Simulating the aftermath of Northern European Enclosure Dam (NEED) break and flooding of European coast(why is it better not to melt Arctic ice)

Parallel shared-memory open-source code for simulations of transient problems using isogeometric analysis, implicit direction splitting and residual minimization (IGA-ADS-RM)(ultra fast solver for challenging unstable simulations)

Shock waves generators: From prevention of hail storms to reduction of the smog in urban areas: experimental verification and numerical simulations(hail cannon magic)

Comparison of Physics Informed Neural Networks and Finite Element Method Solvers for advection-dominated diffusion problems(how PINNs compare with FEM)

Physics Informed Neural Network Code for 2D Transient Problems (PINN-2DT) Compatible with Google Colab(a cool PINN simulator)

Augmenting MRI scan data with real-time predictions of glioblastoma brain tumor evolution using exponential time integrators(How to simulate brain tumor on MRI scans in a real time)

Robust Physics-Informed Neural Networks (how to design loss function for PINN so it coincides with the true error)

Fast parallel IGA-ADS solver for time-dependent Maxwell's equations (super fast solver for 3D electromagnetic waves propagation problems)

Robust Variational Physics-Informed Neural Networks (mathematical theory and numerical examples showing how to construct robust convergent VPINNs)

Quasi-optimal hp-finite element efinements towards singularities via deep neural network prediction (neural networks selecting optimal hp refinements in 3D finite element method)

The first scientiffic evidence for the hail cannon (how to stop a hail storm)

Influence of Activation Functions on the Convergence of Physics-Informed Neural Networks for 1D Wave Equation (sigmoid is the best activation function for PINN)

A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems (a good preconditioner to speedup e.g. tsunami simulations)

Automatic stabilization of finite-element simulations using neural networks and hierarchical matrices (neural networks and hierarchical matrices for automatic stabilization of challenging PDEs)

Cloud-native alternating directions solver for isogeometric analysis (how to perform IGA simulations in clouds)

Stability of non-linear flow in heterogeneous porous media simulations using higher order and continuity basis functions(Oil extraction simulations)

Graph-grammar based algorithm for asteroid tsunami simulations (impact of asteroid tsunami)

Fast Isogeometric Analysis Simulations of a Process of Air Pollution Removal by Artificially Generated Shock Waves (a remedy to the air pollution in Krakow)

Tunning three-dimensional tumor progression simulations on a cluster of GPGPUs (Computational oncology)

Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression (Computational oncology) [arxiv]

Deep Learning Driven Self-adaptive Hp Finite Element Method (Deep Neural Networks and adaptive Finite Element Method)

My recent paper has been recognized by Springer Nature, as important research contribution related to COVID-19 airborn pathogen spread

The mentioned above recognition has motivated this paper

Parallel graph-grammar-based algorithm for the longest-edge refinement of triangular meshes and the pollution simulations in Lesser Poland area (Pollution propagation simulations)

DGIRM Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem (Automatic stabilization of flow simulations)

Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems (Automatic stabilization of flow simulations)

Isogeometric Residual Minimization Method (iGRM) with direction splitting preconditioner for stationary advection-dominated diffusion problems (Automatic stabilization of pollution simulations)

A Massively Parallel Algorithm for the Three-Dimensional Navier-Stokes-Boussinesq Simulations of the Atmospheric Phenomena (Prototype of the code for simulation of atmospheric phenomena related to climate change)

Application of fast isogeometric L2 projection solver for tumor growth simulations (Computational oncology)

Fast isogeometric solvers for hyperbolic wave propagation problems (Possible applications to seismic simulations)

Isogeometric analysis with piece-wise constant test functions (How to speed-up numerical simulations)

Parallel splitting solvers for the isogeometric analysis of the Cahn-Hilliard equation (Computational oncology)

Fast and Green Parallel Isogeometric Analysis Computations for Multi-objective Optimization of Liquid Fossil Fuel Reserve Exploitation with Minimal Groundwater Contamination (Environmental aspects of oil extraction process)

isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection-diffusion problems (Automatic stabilization of pollution simulations)

Parallel fast isogeometric L2 projection solver with GALOIS system for 3D tumor growth simulations (Computational oncology)

Object-oriented implementation of the alternating directions implicit solver for isogeometric analysis (Protype of the code for flood simulations)

Parallel refined isogeometric analysis in 3D (How to speed up numerical simulations)

Recent projects:

Real-time inversion using self-explainable deep learning driven by expert knowledge IN-DEEP ( Horizon Europe research and innovation programme under the Marie Sklodowska-Curie grant agreement No 101119556)

Multiscale Inversion of Porous Rock Physics using High-Performance Simulators: Bridging the Gap between Mathematics and Geophysics MATHROCKS (EU H2020)

Fast isogeometric finite element method solver as a key component in supermodeling of cancer proliferation (National Science Centre)

New computational paradigm Isogeometric Residual Minimization method (iGRM) and its application for solution of parabolic, hyperbolic, linear and nonlinear problems (National Science Centre)

IGA-ADS code with installation and usage manual

ATARI cluster constructed from my National Science Centre, Poland and Foundation for Polish Science grants (11 computing nodes, 136 cores total, 210GB RAM total)

Administrated by outstanding Dr Maciej Wozniak (macwozni@agh.edu.pl)

Selected papers to download

Teaching

Maciej Paszynski

Graph-grammar driven parallel adaptive PDE solvers (Habilitation Thesis 2010)

Movies: Propagation of pollution by the wind over south of Poland (and how Slovakia is protected by Tatra mountains) Hitting a jelly (alternating direction solver) Tumor growth (alternating direction solver) Phase sepparation (material science applications) Pumping CO2 into geological formations (alternating direction solver)

Selected talks:

Robust Variational Physics Informed Neural Networks, June 5, 2024, ECCOMAS Congress

Neural networks, hierarchical matrices, alternating direction solver for stabilized Navier-Stokes simulations, October 2023, 80th Birthday of prof. Tom Hughes

Robust Physics Informed Neural Networks, January 2024, Simula, Oslo, Norway

Simulations of atmospheric phenomena with different solvers, Basque Center for Applied Mathematics (invited talk) July 24, 2023

Deep neural networks and smooth approximations of PDEs, Higher Order Finite Element and Isogeometric Methods (HOFEIM 2023) (invited talk), June 2023

Parallel linear computational cost isogeometric alternating-directions (IGA-ADS) simulator of time-dependent Maxwell equations, Oden Institute for Computational Engineering Sciences, The University of Texas at Austin, USA (invited in person talk) July 28, 2022

Parallel linear computational cost isogeometric alternating-directions (IGA-ADS) simulator of three-dimensional non-stationary problems, Cornegie Mellon University, Pittsburg, Pennsylvania, USA (invited in person talk) July 19, 2022

Isogeometric Residual Minimization Method for non-stationary Maxwell problem, Online talk at US National Congress on Computational Mechanics, Chicago, USA, 27 July 2021

"Deep neural network driven self-adaptive hp finite element method" May 26, 2021, invited online talk at Lawrence Livermore National Laboratory, USA

"Deep neural network driven self-adaptive hp finite element method" April 30, 2021, invited online talk at Ponitifical Catholic University of Valparaiso, Chile

Slides of talk "DNN-driven self-adaptive hp-FEM"

Isogeometric Residual Minimization Method: a linear computational cost automatically stable solver for difficult time-dependent problems on tensor product grids, Oden Institute for Computational and Engineering Sciences, The University of Texas at Austin, USA (invited talk) March 11, 2021

Parallel alternating-directions linear computational cost direct solver for isogeometric residual minimization method, talk recorded for World Congress on Computational Mechanics, Paris, January 11-15, 2021

Supermodeling of a tumor dynamics employing isogeometric analysis solvers with piece-wise constant test functions, Texas A&M, USA, 19 February 2020

Graph grammar for unstructured mesh refinements, Invited Talk at Distributed Systems Group of Prof. Keshav Pingali, Oden Institute, The University of Texas at Austin, USA, 9 August 2019

Supermodeling of a tumor with isogeometric analysis solvers, Invited Talk at Oden Institute, The University of Texas at Austin, USA, 6 August 2019

Slides for Oden Institute talk

isogeometric Residual Minimizaton Method (iGRM), Invited Talk at INRIA, Paris, 27 May 2019

Slides for INRIA talk

isogeometric Residual Minimizaton Method (iGRM), Invited Talk at University of Valparaiso, Chile, March 8, 2019

isogeometric Residual Minimization Method (iGRM), Invited Talk at University of Alberta, Edmonton, Canada, August 18, 2018

isogeometric Residual Minimization Method (iGRM), Invited Talk at Symposium in Honor of Prof. T.J.R. Hughes, World Congress of Computational Mechanics, New York, July 2018

Fast and smooth simulations of time-dependent problems, Curtin University, Perth, Australia, November 22, 2017

Fast and smooth simulation of space-time problems, Short course at Intituto de Matematics, Pontificia Universidad Catolica de Valparaiso, Chile, July 24-28, 2017

Fast isogeometric finite element method solver for melanoma tumor growth simulations, Invited Talk at University of Rio de Janerio, Brasil, June 7, 2017

Fast isogeometric finite element method solver for melanoma tumor growth simulations, Invited Talk at LNCC, Petropolis, Brasil, June 1, 2017

Fast isogeometric finite element method solver for melanoma tumor growth simulations, Invited Talk at Center for Computational Oncology, The University of Texas at Austin, Texas, USA, April 26, 2017

Fast isogeometric finite element method solver for melanoma tumor growth simulations, Texas A&M University, College Station, Texas, USA, April 19, 2017

Application of fast isogeometric L2 projection solver for tumor growth simulations, Invited Talk at SIANI, The University of Las Palmas de Gran Canaria, March 21, 2017

Fast isogeometric finite element method simulations of melanoma tumor growth, Invited Talk at Basque Center for Applied Mathematics, Bilbao, Spain, February 14, 2017

Parallel Direct Solvers for Isogeometric Finite Element Method, Invited Talk at LNCC, Petropolis, Brasil, December 5, 2016

Tumor growth simulation using isogeometric L^2-projections solver, Invited Talk at ICES, The University of Texas at Austin, 30 August 2016

Parallel Matrix Algorithms and Applications 2016, Bordeaux, France

Invited talk at HOFEIM, 2016, Jerusalem, Israel

ICCS 2016 Talk, San Diego, CA, USA

Invited talk at Fourth International Congress on Multiphysics, Multiscale, and Optimization Problems, May 26-27, 2016, BCAM, Bilbao, Spain

Invited talk at BCAM, Bilbao, Spain, 2016

Slides for BCAM talk

Visit at Valparaiso, Chile, 2015

Visit at ICES, The University of Texas at Austin, 2014

Visit at ICES, The University of Texas at Austin, 2014

Visit at ICES, The University of Texas at Austin, 2013

Visit at ICES, The University of Texas at Austin, 2012

Visit at BCAM, Bilbao, Spain, 2014

Visit at KAUST, Saudi Arabia, 2014

I traveled around 2,000,000 kilometers since 2003 (flying 50 times around the Earth)

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