• EH14 4AS

    United Kingdom

20012020

Research output per year

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Personal profile

Research interests

The broad area of my research is numerical analysis/computational mathematics. I work on
the development, rigorous analysis and efficient implementation of computational algorithms for
problems coming from physics and engineering.

I have worked on boundary and finite element and also on space-time methods for both steady state and and time-domain problems. These include wave scattering problems, both acoustic and electromagnetic,  and Schroedinger equations. There has been a strong emphasis in my work on the development and analysis of fast methods for non-local problems. These include both boundary integral equations and non-local/fractional differential operators.

Further, I am active in the development and analysis of numerical eigenvalue computations and in computational complex analysis.  Here I have worked on pseudospectral, finite element and multigrid methods.

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Research Output

  • 29 Article
  • 2 Conference contribution
  • 1 Other chapter contribution

Runge–Kutta convolution quadrature for operators arising in wave propagation

Banjai, L., Lubich, C. & Melenk, J. M., 19 Apr 2011, In : Numerische Mathematik. 119, 1, p. 1-20 20 p.

Research output: Contribution to journalArticle

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

Ballani, J., Banjai, L., Sauter, S. & Veit, A., 2013, In : Numerische Mathematik. 123, 4, p. 1-18 19 p.

Research output: Contribution to journalArticle

Numerical approximation of the Schrödinger equation with concentrated potential

Banjai, L. & López-Fernández, M., 15 Mar 2020, In : Journal of Computational Physics. 405, 109155.

Research output: Contribution to journalArticle

  • A PDE approach to fractional diffusion: a space-fractional wave equation

    Banjai, L. & Otárola, E., Sep 2019, In : Numerische Mathematik. 143, 1, p. 177-222 46 p.

    Research output: Contribution to journalArticle

  • Convolution quadrature for the wave equation with a nonlinear impedance boundary condition

    Banjai, L. & Rieder, A., 2018, In : Mathematics of Computation. 87, 312, p. 1783-1819 37 p.

    Research output: Contribution to journalArticle

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