World's Best Scientists 2026 revealed!

D-Index & Metrics

Engineering and Technology

D-Index
41
Citations
9878
World Ranking
6822
National Ranking
81

Overview

Per A. Madsen is affiliated with the Technical University of Denmark in Denmark. Their research primarily focuses on the field of Earth and Planetary Sciences, with a notable emphasis on Oceanography, Earth-Surface Processes, and Atmospheric Science. The scientist also extends their expertise to Numerical Analysis and Computational Mechanics.

The main topics of their work include:

  • Ocean Waves and Remote Sensing
  • Coastal and Marine Dynamics
  • Arctic and Antarctic ice dynamics
  • Differential Equations and Numerical Methods
  • Advanced Numerical Methods in Computational Mathematics
  • Tropical and Extratropical Cyclones Research
  • Nonlinear Waves and Solitons

Per A. Madsen's frequent co-authors include:

  • David R. Fuhrman
  • Mathias Klahn

The scientist has published their work predominantly in the following venues:

  • Journal of Fluid Mechanics
  • International Journal for Numerical Methods in Fluids
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Representative recent papers by Per A. Madsen and collaborators include:

  • Simulation of three-dimensional nonlinear water waves using a pseudospectral volumetric method with an artificial boundary condition, 2021, International Journal for Numerical Methods in Fluids
  • On the statistical properties of surface elevation, velocities and accelerations in multi-directional irregular water waves, 2021, Journal of Fluid Mechanics
  • Trough instabilities in Boussinesq formulations for water waves, 2020, Journal of Fluid Mechanics
  • On the accuracy and applicability of a new implicit Taylor method and the high-order spectral method on steady nonlinear waves, 2020, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • A new σ-transform based Fourier-Legendre-Galerkin model for nonlinear water waves, 2020, International Journal for Numerical Methods in Fluids

Best Publications

  • A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry

    Per A. Madsen;Ole R. Sørensen

  • A new form of the Boussinesq equations with improved linear dispersion characteristics

    Per A. Madsen;Russel Murray;Ole R. Sørensen

  • A new Boussinesq method for fully nonlinear waves from shallow to deep water

    P. A. Madsen;H. B. Bingham;Hua Liu

  • Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis

    P. A. Madsen;H. A. Schäffer

  • A Boussinesq model for waves breaking in shallow water

    Hemming A. Schäffer;Per A. Madsen;Rolf Deigaard;Rolf Deigaard

  • Surf zone dynamics simulated by a Boussinesq type model. Part I. Model description and cross-shore motion of regular waves

    P.A. Madsen;O.R. Sørensen;H.A. Schäffer

  • On the solitary wave paradigm for tsunamis

    Per A. Madsen;David R. Fuhrman;Hemming Andreas Schäffer

  • Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis

    P. A. Madsen;H. B. Bingham;H. A. Schäffer

  • A new approach to high order Boussinesq models

    Y. Agnon;Per A. Madsen;H. A. Schäffer

  • Bound waves and triad interactions in shallow water

    P.A. Madsen;O.R. Sørensen

  • WAVE CHARACTERISTICS IN THE SURF ZONE

    I.A. Svendsen;P.A. Madsen;J. Buhr Hansen

  • Further enhancements of Boussinesq-type equations

    Hemming A. Schäffer;Per A. Madsen

  • Wave reflection from a vertical permeable wave absorber

    P.A. Madsen

  • Turbulent bores and hydraulic jumps

    P. A. Madsen;I. A. Svendsen

  • Analytical solutions for tsunami runup on a plane beach: single waves, N-waves and transient waves

    Per A. Madsen;Hemming Andreas Schäffer

  • Surf zone dynamics simulated by a Boussinesq type model. Part II: surf beat and swash oscillations for wave groups and irregular waves

    P.A. Madsen;O.R. Sørensen;H.A. Schäffer

  • An efficient finite-difference approach to the mild-slope equation

    P.A. Madsen;J. Larsen

  • A Boussinesq-type method for fully nonlinear waves interacting with a rapidly varying bathymetry

    Per A. Madsen;David R. Fuhrman;Benlong Wang

  • A REVIEW OF BOUSSINESQ-TYPE EQUATIONS FOR SURFACE GRAVITY WAVES

    Per A. Madsen;Hemming A. Schäffer

  • Tsunami generation, propagation, and run-up with a high-order Boussinesq model

    David R. Fuhrman;Per A. Madsen

  • A turbulent bore on a beach

    I. A. Svendsen;P. A. Madsen

Frequent Co-Authors

Peter Nielsen
Peter Nielsen University of Queensland
Ib A. Svendsen
Ib A. Svendsen University of Delaware
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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