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 524
751 20 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 Introduction to Scientific Computing F, Scientific Computing for PDEs, Computer Programming I, Scientific Computing I, and Analysis of Numerical Methods.

Publications
Selection of publications
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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
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Part of Journal of Computational Physics, 2023
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Part of Geophysics, 2023
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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
-
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
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Part of Journal of Computational Physics, 2021
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Part of Journal of Computational Physics, 2020
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Order-preserving interpolation for summation-by-parts operators at nonconforming grid interfaces
Part of SIAM Journal on Scientific Computing, 2019
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Part of Journal of the mechanics and physics of solids, p. 262-279, 2019
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Multilevel local time-stepping methods of Runge–Kutta-type for wave equations
Part of SIAM Journal on Scientific Computing, 2017
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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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Optimal diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 91-111, 2014
Recent publications
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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 Bulletin of The Seismological Society of America (BSSA), p. 499-523, 2023
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Part of Journal of Computational Physics, 2023
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Part of Geophysics, 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 Bulletin of The Seismological Society of America (BSSA), p. 499-523, 2023
-
Part of Journal of Computational Physics, 2023
-
Part of Geophysics, 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
-
Part of Journal of the mechanics and physics of solids, p. 262-279, 2019
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Tsunami Wavefield Reconstruction and Forecasting Using the Ensemble Kalman Filter
Part of Geophysical Research Letters, p. 853-860, 2019
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Boundary optimized diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 1261-1266, 2018
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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
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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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High-fidelity numerical solution of the time-dependent Dirac equation
Part of Journal of Computational Physics, p. 86-103, 2014
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Optimal diagonal-norm SBP operators
Part of Journal of Computational Physics, p. 91-111, 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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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
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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