Ken Mattsson
Professor vid Institutionen för informationsteknologi; Beräkningsvetenskap
- Telefon:
- 018-471 29 75
- Mobiltelefon:
- 073-617 19 53
- E-post:
- ken.mattsson@it.uu.se
- Besöksadress:
- Hus 10, Regementsvägen 10
- Postadress:
- Box 337
751 05 UPPSALA
- Akademiska meriter:
- FM, Docent, excellent lärare
- CV:
- Ladda ned CV
Kort presentation
Jag är professor i beräkningsvetenskap (numerisk analys) med fokus på effektiva och tillförlitliga numeriska metoder för tidsberoende partiella differential ekvationer. Tillämpningar där detta är av betydelse hittas tex inom kvantmekanik, geofysik och strömningsmekanik.
Nyckelord
- högre ordningens finita differens metoder
- randvillkor för pde
- numerisk vågutbredning
- numerisk kvantmekanik
- numerisk optimering
Biografi
Uppvuxen i norra Stockholm och flyttade till Uppsala 1992 för att börja studera kemi på Uppsala Universitet. Har en magisterexamen i astronomi (1996) och avslutade min doktorandutbildning i beräkningsvetenskap (numerisk analys) 2003. Mitt vetenskapliga intresse har sedan 1997 mestadels berört effektiva finita differens metoder för tidsberoende partiella differential ekvationer (PDE). Har tidigare arbetat på Stanford Universitet, Vattenfall och FOI.
På fritiden åker jag gärna slalom (på vintern) eller rör mig i naturen. Har ett stort intresse för mat och tittar gärna på science fiction eller vetenskapsprogram.
Forskning
Min forskning har fokuserat på högre ordningens finita differens metoder, för beräkningsproblem med inslag av vågutbredning. De senaste åren har jag speciellt tillämpat dessa numeriska metoder, i samarbete med andra forskare, inom främst CFD, geofysik och kvantmekanik. Ett aktivt projekt som jag just nu arbetar på är beräkningsmetoder för lågfrekvent bullerspridning både utomhus och inomhus. Jag har nyligen börjat intressera mig för numerisk optimering, där man löser en PDE som bivillkor.

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