Martin Almquist
Associate senior lecturer/Assistant Professor at Department of Information Technology; Division of Scientific Computing
- Telephone:
- +46 18 471 10 31
- Mobile phone:
- +46 70 287 87 55
- E-mail:
- martin.almquist@it.uu.se
- Visiting address:
- Hus 10, Regementsvägen 10
- Postal address:
- Box 337
751 05 UPPSALA
- Academic merits:
- Docent
Short presentation
My research focuses on efficient methods for partial differential equations describing wave propagagation.
Keywords
- wave propagation
- partial differential equations
- inverse problems
- earthquake modeling
Biography
I have taught the courses Scientific Computing for PDEs, Computer Programming I, Scientific Computing I, and Analysis of Numerical Methods.

Publications
Selection of publications
Part of Journal of Computational Physics, 2023
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
Part of Journal of Geophysical Research - Solid Earth, 2022
- DOI for Ultra and Very Long Period Seismic Signatures of Unsteady Eruptions Predicted From Conduit Flow Models
- Download full text (pdf) of Ultra and Very Long Period Seismic Signatures of Unsteady Eruptions Predicted From Conduit Flow Models
Part of Journal of Computational Physics, 2021
Part of Journal of Computational Physics, 2020
Order-preserving interpolation for summation-by-parts operators at nonconforming grid interfaces
Part of SIAM Journal on Scientific Computing, 2019
Multilevel local time-stepping methods of Runge–Kutta-type for wave equations
Part of SIAM Journal on Scientific Computing, 2017
High-fidelity numerical solution of the time-dependent Dirac equation
Part of Journal of Computational Physics, p. 86-103, 2014
Optimal diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 91-111, 2014
Recent publications
Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
Part of Journal of Scientific Computing, 2025
- DOI for Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
- Download full text (pdf) of Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
Adjoint-based inversion for stress and frictional parameters in earthquake modeling
Part of Journal of Computational Physics, 2024
- DOI for Adjoint-based inversion for stress and frictional parameters in earthquake modeling
- Download full text (pdf) of Adjoint-based inversion for stress and frictional parameters in earthquake modeling
Part of Journal of Computational Physics, 2023
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
Part of Bulletin of The Seismological Society of America (BSSA), p. 499-523, 2023
All publications
Articles in journal
Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
Part of Journal of Scientific Computing, 2025
- DOI for Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
- Download full text (pdf) of Approximating Moving Point Sources in Hyperbolic Partial Differential Equations
Adjoint-based inversion for stress and frictional parameters in earthquake modeling
Part of Journal of Computational Physics, 2024
- DOI for Adjoint-based inversion for stress and frictional parameters in earthquake modeling
- Download full text (pdf) of Adjoint-based inversion for stress and frictional parameters in earthquake modeling
Part of Journal of Computational Physics, 2023
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
Part of Bulletin of The Seismological Society of America (BSSA), p. 499-523, 2023
Part of Journal of Geophysical Research - Solid Earth, 2022
- DOI for Ultra and Very Long Period Seismic Signatures of Unsteady Eruptions Predicted From Conduit Flow Models
- Download full text (pdf) of Ultra and Very Long Period Seismic Signatures of Unsteady Eruptions Predicted From Conduit Flow Models
Part of Journal of Computational Physics, 2021
Part of Journal of Computational Physics, 2020
Order-preserving interpolation for summation-by-parts operators at nonconforming grid interfaces
Part of SIAM Journal on Scientific Computing, 2019
Part of Journal of the mechanics and physics of solids, p. 262-279, 2019
Tsunami Wavefield Reconstruction and Forecasting Using the Ensemble Kalman Filter
Part of Geophysical Research Letters, p. 853-860, 2019
Boundary optimized diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 1261-1266, 2018
Multilevel local time-stepping methods of Runge–Kutta-type for wave equations
Part of SIAM Journal on Scientific Computing, 2017
A high-order accurate embedded boundary method for first order hyperbolic equations
Part of Journal of Computational Physics, p. 255-279, 2017
Realization of adiabatic Aharonov–Bohm scattering with neutrons
Part of Physical Review A. Atomic, Molecular, and Optical Physics, 2015
High-fidelity numerical solution of the time-dependent Dirac equation
Part of Journal of Computational Physics, p. 86-103, 2014
Optimal diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 91-111, 2014
Atmospheric sound propagation over large-scale irregular terrain
Part of Journal of Scientific Computing, p. 369-397, 2014
A solution to the stability issues with block norm summation by parts operators
Part of Journal of Computational Physics, p. 418-442, 2013
Comprehensive doctoral thesis
Conference papers
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
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
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