Ken Mattsson
Professor at Department of Information Technology; Division of Scientific Computing
- Telephone:
- +46 18 471 29 75
- Mobile phone:
- +46 73 617 19 53
- E-mail:
- ken.mattsson@it.uu.se
- Visiting address:
- Hus 10, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
- CV:
- Download CV
Short presentation
I am a professor in scientific computing (numerical analysis) with focus on efficient and reliable numerical methods for time-dependent partial differential equations. Application’s where this is of importance is found in for example quantum mechanics, geoscience and fluid mechanics.
Keywords
- högre ordningens finita differens metoder
- randvillkor för pde
- numerisk vågutbredning
- numerisk kvantmekanik
- numerisk optimering
Biography
Born in Stockholm and moved to Uppsala 1992 to study chemistry at Uppsala University. I have M.Sc in astronomy (1996) and finished my Ph.D in scientific computing 2003. My main interest (in science) since 1997 is on efficient finite difference methods for time-dependent PDE. I have previously been employed at Stanford University, Vattenfall and FOI.
In my spare time I like skiing (alpine) or spend time in nature. I have a big interest in food (both making it and eating it) and like to watch science fiction or science programs.
Research
My research has focused on higher order finite difference methods, for computational problems with elements of wave propagation. In recent years, I have especially applied these numerical methods, in collaboration with other researchers, mainly in CFD, geophysics and quantum mechanics. An active project that I am currently working on is calculation methods for low-frequency noise propagation both outdoors and indoors. I have recently become interested in numerical optimization, where you solve a PDE as a constraint.

Publications
Recent publications
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Part of Applied Acoustics, 2026
- DOI for Efficient finite difference modeling of infrasound propagation in realistic 3D domains: Validation with wind turbine measurements
- Download full text (pdf) of Efficient finite difference modeling of infrasound propagation in realistic 3D domains: Validation with wind turbine measurements
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Part of Journal of Scientific Computing, 2026
- DOI for Provably Stable and High-Order Accurate Multi-Block Finite Difference Discretisation for Incompressible Flow
- Download full text (pdf) of Provably Stable and High-Order Accurate Multi-Block Finite Difference Discretisation for Incompressible Flow
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Infrasound microphone network to monitor wind farm emissions
Part of 2025 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2025
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Projection based summation-by-parts methods, embeddings and the pseudoinverse
Part of Journal of Computational Physics, 2025
- DOI for Projection based summation-by-parts methods, embeddings and the pseudoinverse
- Download full text (pdf) of Projection based summation-by-parts methods, embeddings and the pseudoinverse
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Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
Part of Journal of Computational and Applied Mathematics, 2025
- DOI for Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
- Download full text (pdf) of Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
All publications
Articles in journal
-
Part of Applied Acoustics, 2026
- DOI for Efficient finite difference modeling of infrasound propagation in realistic 3D domains: Validation with wind turbine measurements
- Download full text (pdf) of Efficient finite difference modeling of infrasound propagation in realistic 3D domains: Validation with wind turbine measurements
-
Part of Journal of Scientific Computing, 2026
- DOI for Provably Stable and High-Order Accurate Multi-Block Finite Difference Discretisation for Incompressible Flow
- Download full text (pdf) of Provably Stable and High-Order Accurate Multi-Block Finite Difference Discretisation for Incompressible Flow
-
Projection based summation-by-parts methods, embeddings and the pseudoinverse
Part of Journal of Computational Physics, 2025
- DOI for Projection based summation-by-parts methods, embeddings and the pseudoinverse
- Download full text (pdf) of Projection based summation-by-parts methods, embeddings and the pseudoinverse
-
Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
Part of Journal of Computational and Applied Mathematics, 2025
- DOI for Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
- Download full text (pdf) of Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time
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Part of Journal of Computational Physics, 2023
- DOI for Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation
- Download full text (pdf) of Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation
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Part of Journal of Computational Physics, 2023
- DOI for Implicit summation by parts operators for finite difference approximations of first and second derivatives
- Download full text (pdf) of Implicit summation by parts operators for finite difference approximations of first and second derivatives
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Part of Journal of Computational Physics, 2023
- DOI for Boundary-optimized summation-by-parts operators for finite difference approximations of second derivatives with variable coefficients
- Download full text (pdf) of Boundary-optimized summation-by-parts operators for finite difference approximations of second derivatives with variable coefficients
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Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations
Part of Journal of Scientific Computing, 2022
- DOI for Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations
- Download full text (pdf) of Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations
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Energy stable and accurate coupling of finite element methods and finite difference methods
Part of Journal of Computational Physics, 2022
- DOI for Energy stable and accurate coupling of finite element methods and finite difference methods
- Download full text (pdf) of Energy stable and accurate coupling of finite element methods and finite difference methods
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A high order accurate finite difference method for the Drinfel’d-Sokolov-Wilson equation
Part of Journal of Scientific Computing, 2021
- DOI for A high order accurate finite difference method for the Drinfel’d-Sokolov-Wilson equation
- Download full text (pdf) of A high order accurate finite difference method for the Drinfel’d-Sokolov-Wilson equation
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High-order finite difference method for the Schrödinger equation on deforming domains
Part of Journal of Computational Physics, 2021
- DOI for High-order finite difference method for the Schrödinger equation on deforming domains
- Download full text (pdf) of High-order finite difference method for the Schrödinger equation on deforming domains
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A residual-based artificial viscosity finite difference method for scalar conservation laws
Part of Journal of Computational Physics, 2021
- DOI for A residual-based artificial viscosity finite difference method for scalar conservation laws
- Download full text (pdf) of A residual-based artificial viscosity finite difference method for scalar conservation laws
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An efficient finite difference method for the shallow water equations
Part of Journal of Computational Physics, 2020
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A finite difference method for earthquake sequences in poroelastic solids
Part of Computational Geosciences, p. 1351-1370, 2018
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High-fidelity sound propagation in a varying 3D atmosphere
Part of Journal of Scientific Computing, p. 1278-1302, 2018
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Simulation of acoustic and flexural-gravity waves in ice-covered oceans
Part of Journal of Computational Physics, p. 230-252, 2018
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Boundary optimized diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 1261-1266, 2018
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Part of Journal of Computational Physics, p. 349-372, 2018
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Compatible diagonal-norm staggered and upwind SBP operators
Part of Journal of Computational Physics, p. 52-75, 2018
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A high-order accurate embedded boundary method for first order hyperbolic equations
Part of Journal of Computational Physics, p. 255-279, 2017
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Diagonal-norm upwind SBP operators
Part of Journal of Computational Physics, p. 283-310, 2017
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High-fidelity numerical simulation of solitons in the nerve axon
Part of Journal of Computational Physics, p. 793-816, 2016
- DOI for High-fidelity numerical simulation of solitons in the nerve axon
- Download full text (pdf) of High-fidelity numerical simulation of solitons in the nerve axon
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High-fidelity numerical simulation of the dynamic beam equation
Part of Journal of Computational Physics, p. 194-213, 2015
- DOI for High-fidelity numerical simulation of the dynamic beam equation
- Download full text (pdf) of High-fidelity numerical simulation of the dynamic beam equation
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Realization of adiabatic Aharonov–Bohm scattering with neutrons
Part of Physical Review A. Atomic, Molecular, and Optical Physics, 2015
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Part of SIAM Journal on Scientific Computing, 2014
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Acoustic wave propagation in complicated geometries and heterogeneous media
Part of Journal of Scientific Computing, p. 90-118, 2014
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Atmospheric sound propagation over large-scale irregular terrain
Part of Journal of Scientific Computing, p. 369-397, 2014
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Optimal diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 91-111, 2014
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High-fidelity numerical solution of the time-dependent Dirac equation
Part of Journal of Computational Physics, p. 86-103, 2014
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Part of Journal of Computational Physics, p. 432-454, 2014
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A solution to the stability issues with block norm summation by parts operators
Part of Journal of Computational Physics, p. 418-442, 2013
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Part of Journal of Scientific Computing, p. 650-682, 2012
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Stable and accurate interpolation operators for high-order multiblock finite difference methods
Part of SIAM Journal on Scientific Computing, p. 2298-2320, 2010
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Stable and accurate second-order formulation of the shifted wave equation
Part of Communications in Computational Physics, p. 103-137, 2010
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Stable Boundary Treatment for the Wave Equation on Second-Order Form
Part of Journal of Scientific Computing, p. 366-383, 2009
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A hybrid method for unsteady inviscid fluid flow
Part of Computers & Fluids, p. 875-882, 2009
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Stable and accurate wave-propagation in discontinuous media
Part of Journal of Computational Physics, p. 8753-8767, 2008
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Stable and accurate schemes for the compressible Navier-Stokes equations
Part of Journal of Computational Physics, p. 2293-2316, 2008
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High-order accurate computations for unsteady aerodynamics
Part of Computers & Fluids, p. 636-649, 2007
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Part of Journal of Computational Physics, p. 874-890, 2007
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High order finite difference methods for wave propagation in discontinuous media
Part of Journal of Computational Physics, p. 249-269, 2006
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Steady-State Computations Using Summation-by-Parts Operators
Part of Journal of Scientific Computing, p. 79-95, 2005
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Summation by parts operators for finite difference approximations of second derivatives
Part of Journal of Computational Physics, p. 503-540, 2004
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Stable and Accurate Artificial Dissipation
Part of Journal of Scientific Computing, p. 57-79, 2004
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Boundary Procedures for Summation-by-Parts Operators
Part of Journal of Scientific Computing, p. 133-153, 2003
Chapters in book
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Towards time-stable and accurate LES on unstructured grids
Part of Complex Effects in Large Eddy Simulations, p. 235-249, Springer-Verlag, 2007
Comprehensive doctoral thesis
Conference papers
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Infrasound microphone network to monitor wind farm emissions
Part of 2025 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2025
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Unsteady simulations of rotor stator interactions using SBP-SAT schemes: Status and challenges
Part of Spectral and High Order Methods for Partial Differential Equations, p. 247-255, 2015
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Stable and accurate wave simulations in complex geometries and discontinuous media
Part of Proc. 11th International Conference on Mathematical and Numerical Aspects of Waves, p. 201-202, 2013
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Stable and accurate simulation of phenomena in relativistic quantum mechanics
Part of Proc. 11th International Conference on Mathematical and Numerical Aspects of Waves, p. 213-214, 2013
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Accuracy requirements for transient aerodynamics
Part of Proc. 16th AIAA CFD Conference, 2003
Manuscripts (preprints)
Reports
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Diagonal-norm upwind SBP operators
2016
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Optimal diagonal-norm SBP operators
2013
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Atmospheric sound propagation over large-scale irregular terrain
2013
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Stable and conservative time propagators for second order hyperbolic systems
2011
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2010
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Stable boundary treatment for the wave equation on second-order form
2008
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A Hybrid Method for Unsteady Fluid Flow
2007
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2006
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2005
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Finite Difference Approximations of Second Derivatives on Summation by Parts Form
2003
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Stable Artificial Dissipation Operators for High Order Finite Difference Schemes
2003
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Steady State Computations Using Summation-by-Parts Operators
2003
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Accuracy Requirements for Steady and Transient Aerodynamics
2002
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Stable and accurate artificial dissipation
2002