A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides. - Lehel Banjai; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2003)

A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems. - Lehel Banjai; Stefan A. Sauter (SIAM J. Numer. Anal., 2007)

Rapid Solution of the Wave Equation in Unbounded Domains. - Lehel Banjai; Stefan A. Sauter (SIAM J. Numer. Anal., 2008)

Revisiting the Crowding Phenomenon in Schwarz-Christoffel Mapping. - Lehel Banjai (SIAM J. Sci. Comput., 2008)

Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments. - Lehel Banjai (SIAM J. Sci. Comput., 2010)

Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation. - Lehel Banjai; Volker Gruhne (J. Comput. Appl. Math., 2011)

Runge-Kutta convolution quadrature for operators arising in wave propagation. - Lehel Banjai; Christian Lubich; Jens Markus Melenk (Numerische Mathematik, 2011)

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. - Jonas Ballani; Lehel Banjai; Stefan A. Sauter; Alexander Veit (Numerische Mathematik, 2013)

Fast convolution quadrature for the wave equation in three dimensions. - Lehel Banjai; Maryna Kachanovska (J. Comput. Phys., 2014)

Stable numerical coupling of exterior and interior problems for the wave equation. - Lehel Banjai; Christian Lubich; Francisco-Javier Sayas (Numerische Mathematik, 2015)

A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation. - Lehel Banjai; Emmanuil H. Georgoulis; Oluwaseun Lijoka (SIAM J. Numer. Anal., 2017)

Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations. - Lehel Banjai; María López-Fernández; Achim Schädle (SIAM J. Numer. Anal., 2017)

Convolution quadrature for the wave equation with a nonlinear impedance boundary condition. - Lehel Banjai; Alexander Rieder (Math. Comput., 2018)

Tensor FEM for Spectral Fractional Diffusion. - Lehel Banjai; Jens Markus Melenk; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado; Christoph Schwab (Found. Comput. Math., 2019)

Efficient high order algorithms for fractional integrals and fractional differential equations. - Lehel Banjai; María López-Fernández (Numerische Mathematik, 2019)

A PDE approach to fractional diffusion: a space-fractional wave equation. - Lehel Banjai; Enrique Otárola (Numerische Mathematik, 2019)

hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains. - Lehel Banjai; Jens Markus Melenk; Christoph Schwab (CoRR, 2020)

Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. - Lehel Banjai; Christian Lubich; Joerg Nick (CoRR, 2020)

Strong convergence of a Verlet integrator for the semi-linear stochastic wave equation. - Lehel Banjai; Gabriel J. Lord; Jeta Molla (CoRR, 2020)

Numerical analysis of a wave equation for lossy media obeying a frequency power law. - Katherine Baker; Lehel Banjai (CoRR, 2020)

Numerical approximation of the Schrödinger equation with concentrated potential. - Lehel Banjai; María López-Fernández (J. Comput. Phys., 2020)

Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation. - Lehel Banjai; Gabriel J. Lord; Jeta Molla (SIAM J. Numer. Anal., 2021)

Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation. - Lehel Banjai (Comput. Methods Appl. Math., 2022)

A modified convolution quadrature combined with the method of fundamental solutions and Galerkin BEM for acoustic scattering. - Ebraheem Aldahham; Lehel Banjai (CoRR, 2022)

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping. - Katherine Baker; Lehel Banjai; Mariya Ptashnyk (CoRR, 2022)

A posteriori error analysis for approximations of time-fractional subdiffusion problems. - Lehel Banjai; Charalambos G. Makridakis (Math. Comput., 2022)

Generalized convolution quadrature based on the trapezoidal rule. - Lehel Banjai; Matteo Ferrari (CoRR, 2023)

Exponential convergence of hp FEM for spectral fractional diffusion in polygons. - Lehel Banjai; Jens Markus Melenk; Christoph Schwab (Numerische Mathematik, 2023)

Runge-Kutta convolution quadrature based on Gauss methods. - Lehel Banjai; Matteo Ferrari (Numerische Mathematik, 2024)

Space-time finite element methods for nonlinear wave equations via elliptic regularisation. - Lehel Banjai; Emmanuil H. Georgoulis; Brian Hennessy (CoRR, 2025)