Research Articles

Preprints

[p1] Ballani J., Banjai L., Sauter S.A., and Veit A.: Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature, submitted to Math. Comp., 2011.Preprint 65/2011

Published/Accepted for publication

[15] Banjai L. and Gruhne V..: Efficient long time computations of time-domain boundary integrals for 2D and dissipative wave equation,  J. Comput. Appl. Math., 235(14), 4207--4220, 2011. Preprint 65/2010

[14] Banjai L.. Melenk J.M., and Lubich Ch.: Runge-Kutta convolution quadrature for operators arising in wave propagation, Numer. Math., 119(1), 1--20,2011.   Preprint 59/2010

[13] Banjai L. and Schanz M..: Wave Propagation Problems treated with Convolution Quadrature and BEM,  accepted for publication, Preprint 60/2010

[12] Banjai L. and Lubich Ch.: An error analysis of Runge-Kutta convolution quadrature,  BIT, 51(3), 483--496,2011. Preprint 27/2010

[11] Banjai L. and Peterseim, D.: Parallel multistep methods for linear evolution problems, published online, IMA JNA, 2011. Preprint 26/2009.

[10] Banjai L.: Multistep and multistage convolution quadrature for the wave equation: Algorithms and experiments, SIAM J. Sci. Comput. 32(5), 2964--2994, 2010. Preprint 58/2009.

[9] Banjai, L., Börm, S., and Sauter, S.: FEM for Elliptic Eigenvalue Problems: How Coarse Can the Coarsest Mesh be Chosen? An Experimental Study., Comp. and Visualisation in Science , 11, no. 4-6, 363--372, 2008 Preprint 23-2007

[8] Banjai, L. and Sauter, S.: Rapid solution of the wave equation in unbounded domains, SIAM J. Numer. Anal. 47, 227--249, 2008, New version

[7] Banjai L. and Sauter S.: Rapid solution of the wave equation in unbounded domains: Abridged version, Proceedings of Waves 2007, University of Reading, pages 38--40, 2007. Download paper

[6] Banjai, L.: Revisiting the crowding phenomenon in Schwarz-Christoffel conformal mapping, SIAM J. Sci. Comput. 30(2), 618--636, 2008. Updated version

[5] Banjai, L. and Sauter, S.: A refined Galerkin error and stability analysis for highly indefinite variational problems, SIAM J. on Num. Anal., 45(1):37--53,2007. University of Zurich Preprint 03-06

[4] Banjai, L. and Hackbusch W. Hierarchical matrix techniques for low and high frequency Helmholtz equation., IMA J. Numer. Anal.,28(1):46-79,2008. preprint 04-2007

[3] Banjai, L. Eigenfrequencies of fractal drums. J. Comput. Appl. Math. 198 (2007), no. 1, 1--18; MPI in Leipzig Preprint 11/2005.

[2] Banjai, L. and Trefethen, L. N. A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. SIAM J. Sci. Comput. 25, 3 (2003), 1042-1065.; Comlab, Oxford, Preprint 02-14

[1] Banjai,  L. and Trefethen L. N. Numerical solution of the omitted area problem of univalent function theory. Comput. Methods Funct. Theory 1, 1 (2001), 259-267.Comlab, Oxford, Preprint 01-23