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, Lägerhyddsvägen 1
- Postal address:
- Box 337
751 05 UPPSALA
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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
- numerisk kvantmekanik
- numerisk optimering
- numerisk vågutbredning
- randvillkor för pde
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
- Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time (2025)
- Projection based summation-by-parts methods, embeddings and the pseudoinverse (2025)
- Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation (2023)
- Implicit summation by parts operators for finite difference approximations of first and second derivatives (2023)
- Boundary-optimized summation-by-parts operators for finite difference approximations of second derivatives with variable coefficients (2023)
All publications
Articles
- Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time (2025)
- Projection based summation-by-parts methods, embeddings and the pseudoinverse (2025)
- Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation (2023)
- Implicit summation by parts operators for finite difference approximations of first and second derivatives (2023)
- Boundary-optimized summation-by-parts operators for finite difference approximations of second derivatives with variable coefficients (2023)
- Energy stable and accurate coupling of finite element methods and finite difference methods (2022)
- Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations (2022)
- A high order accurate finite difference method for the Drinfel’d-Sokolov-Wilson equation (2021)
- High-order finite difference method for the Schrödinger equation on deforming domains (2021)
- A residual-based artificial viscosity finite difference method for scalar conservation laws (2021)
- An efficient finite difference method for the shallow water equations (2020)
- Boundary optimized diagonal-norm SBP operators (2018)
- Simulation of acoustic and flexural-gravity waves in ice-covered oceans (2018)
- An improved projection method (2018)
- Compatible diagonal-norm staggered and upwind SBP operators (2018)
- High-fidelity sound propagation in a varying 3D atmosphere (2018)
- A finite difference method for earthquake sequences in poroelastic solids (2018)
- Diagonal-norm upwind SBP operators (2017)
- A high-order accurate embedded boundary method for first order hyperbolic equations (2017)
- High-fidelity numerical simulation of solitons in the nerve axon (2016)
- High-fidelity numerical simulation of the dynamic beam equation (2015)
- Realization of adiabatic Aharonov–Bohm scattering with neutrons (2015)
- Atmospheric sound propagation over large-scale irregular terrain (2014)
- High-fidelity numerical solution of the time-dependent Dirac equation (2014)
- Stable and high-order accurate boundary treatments for the elastic wave equation on second-order form (2014)
- Diagonal-norm summation by parts operators for finite difference approximations of third and fourth derivatives (2014)
- Optimal diagonal-norm SBP operators (2014)
- Acoustic wave propagation in complicated geometries and heterogeneous media (2014)
- A solution to the stability issues with block norm summation by parts operators (2013)
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients (2012)
- Stable and accurate interpolation operators for high-order multiblock finite difference methods (2010)
- Stable and accurate second-order formulation of the shifted wave equation (2010)
- Stable Boundary Treatment for the Wave Equation on Second-Order Form (2009)
- A hybrid method for unsteady inviscid fluid flow (2009)
- Stable and accurate wave-propagation in discontinuous media (2008)
- Stable and accurate schemes for the compressible Navier-Stokes equations (2008)
- High-order accurate computations for unsteady aerodynamics (2007)
- Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations (2007)
- High order finite difference methods for wave propagation in discontinuous media (2006)
- Steady-State Computations Using Summation-by-Parts Operators (2005)
- Summation by parts operators for finite difference approximations of second derivatives (2004)
- Stable and Accurate Artificial Dissipation (2004)
- Boundary Procedures for Summation-by-Parts Operators (2003)
- Implicit summation by parts operators for initial boundary value problems
Books
Chapters
Conferences
- Unsteady simulations of rotor stator interactions using SBP-SAT schemes (2015)
- Stable and accurate simulation of phenomena in relativistic quantum mechanics (2013)
- Stable and accurate wave simulations in complex geometries and discontinuous media (2013)
- Accuracy requirements for transient aerodynamics (2003)
Reports
- Diagonal-norm upwind SBP operators (2016)
- Atmospheric sound propagation over large-scale irregular terrain (2013)
- Optimal diagonal-norm SBP operators (2013)
- Stable and conservative time propagators for second order hyperbolic systems (2011)
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients (2010)
- Stable boundary treatment for the wave equation on second-order form (2008)
- A Hybrid Method for Unsteady Fluid Flow (2007)
- Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations (2006)
- Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations (2005)
- Finite Difference Approximations of Second Derivatives on Summation by Parts Form (2003)
- Stable Artificial Dissipation Operators for High Order Finite Difference Schemes (2003)
- Steady State Computations Using Summation-by-Parts Operators (2003)
- Accuracy Requirements for Steady and Transient Aerodynamics (2002)
- Stable and accurate artificial dissipation (2002)