20012020

Research output per year

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Research Output

  • 29 Article
  • 2 Conference contribution
  • 1 Other chapter contribution
2020

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

2019

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

2018

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

Open Access
File
14 Downloads (Pure)

Efficient high order algorithms for fractional integrals and fractional differential equations

Banjai, L. & Lopez-Fernandez, M., 24 Oct 2018, In : Numerische Mathematik. p. 1-29 29 p.

Research output: Contribution to journalArticle

Open Access
File
14 Downloads (Pure)

Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations

Banjai, L. & Lubich, C., 7 Jun 2018, In : IMA Journal of Numerical Analysis. p. 1-24 24 p.

Research output: Contribution to journalArticle

Open Access
File
8 Downloads (Pure)

Tensor FEM for spectral fractional diffusion

Banjai, L., Melenk, J. M., Nochetto, R. H., Otarola, E., Salgado, A. J. & Schwab, C., 29 Oct 2018, In : Foundations of Computational Mathematics. p. 1–62 62 p.

Research output: Contribution to journalArticle

Open Access
File
1 Downloads (Pure)
2017

A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation

Banjai, L., Georgoulis, E. H. & Lijoka, O., Jan 2017, In : SIAM Journal on Numerical Analysis. 55, 1, p. 63-86 24 p.

Research output: Contribution to journalArticle

Open Access
File
30 Downloads (Pure)

Fast and oblivious algorithms for dissipative and two-dimensional wave equations

Banjai, L., Lopez-Fernandez, M. & Schadle, A., 15 Mar 2017, In : SIAM Journal on Numerical Analysis. 55, 2, p. 621-639 19 p.

Research output: Contribution to journalArticle

2015

Dissipation free low order convolution quadrature for TDBIE

Banjai, L., 2015, Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, p. 1210-1213 4 p. 7297310

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fully discrete Kirchhoff formulas with CQ-BEM

Banjai, L., Laliena, A. R. & Sayas, F. J., 2015, In : IMA Journal of Numerical Analysis. 35, 2, p. 859-884 26 p.

Research output: Contribution to journalArticle

Stable numerical coupling of exterior and interior problems for the wave equation

Banjai, L., Lubich, C. & Sayas, F. J., Apr 2015, In : Numerische Mathematik. 129, 4, p. 611-646 36 p.

Research output: Contribution to journalArticle

Open Access
File
59 Downloads (Pure)
2014

Fast convolution quadrature for the wave equation in three dimensions

Banjai, L. & Kachanovska, M., 2014, In : Journal of Computational Physics. 279, p. 103-126 24 p.

Research output: Contribution to journalArticle

Sparsity of Runge-Kutta convolution weights for the three-dimensional wave equation

Banjai, L. & Kachanovska, M., Dec 2014, In : BIT Numerical Mathematics. 54, 4, p. 901-936 36 p.

Research output: Contribution to journalArticle

Time-domain Dirichlet-to-Neumann map and its discretization

Banjai, L., Jul 2014, In : IMA Journal of Numerical Analysis. 34, 3, p. 1136-1155 20 p.

Research output: Contribution to journalArticle

2013

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

2012

Parallel multistep methods for linear evolution problems

Banjai, L. & Peterseim, D., 1 Jul 2012, In : IMA Journal of Numerical Analysis. 32, 3, p. 1217-1240

Research output: Contribution to journalArticle

Runge–Kutta convolution quadrature for the Boundary Element Method

Banjai, L., Messner, M. & Schanz, M., 1 Oct 2012, In : Computer Methods in Applied Mechanics and Engineering. 245-246, p. 90-101

Research output: Contribution to journalArticle

Wave Propagation Problems Treated with Convolution Quadrature and BEM

Banjai, L. & Schanz, M., 2012, Fast Boundary Element Methods in Engineering and Industrial Applications. Langer, U., Schanz, M., Steinbach, O. & Wendland, W. L. (eds.). Springer, Vol. 63. p. 145-184 40 p. (Lecture Notes in Applied and Computational Mechanics; vol. 63).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2011

A family of efficient numerical solvers of time domain boundary integral equations

Banjai, L. & Zhang, Y., 2011, In : Proceedings of Forum Acusticum. p. 223-228 6 p.

Research output: Contribution to journalArticle

An error analysis of Runge–Kutta convolution quadrature

Banjai, L. & Lubich, C., 25 Jan 2011, In : BIT Numerical Mathematics. 51, 3, p. 483-496 14 p.

Research output: Contribution to journalArticle

Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation

Banjai, L. & Gruhne, V., 15 May 2011, In : Journal of Computational and Applied Mathematics. 235, 14, p. 4207-4220 14 p.

Research output: Contribution to journalArticle

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

2010

Multistep and multistage convolution quadrature for the wave equation: Algorithms and experiments

Banjai, L., 1 Jan 2010, In : SIAM Journal on Scientific Computing. 32, 5, p. 2964–2994 31 p.

Research output: Contribution to journalArticle

2009

Fast solution techniques for the wave equation in unbounded domains

Sauter, S. & Banjai, L., 1 Sep 2009, ICEAA '09. International Conference on Electromagnetics in Advanced Applications, 2009.. IEEE, p. 1050-1053

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rapid Solution of the Wave Equation in Unbounded Domains

Banjai, L. & Sauter, S., 1 Jan 2009, In : SIAM Journal on Numerical Analysis. 47, 1, p. 227-249 23 p.

Research output: Contribution to journalArticle

2008

FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study

Banjai, L., Börm, S. & Sauter, S., 1 Sep 2008, In : Computing and Visualization in Science. 11, 4-6, p. 363-372

Research output: Contribution to journalArticle

Hierarchical matrix techniques for low- and high-frequency Helmholtz problems

Banjai, L. & Hackbusch, W., 2008, In : IMA Journal of Numerical Analysis. 28, 1, p. 46-79 34 p.

Research output: Contribution to journalArticle

Revisiting the crowding phenomenon in Schwarz–Christoffel Mapping

Banjai, L., 1 Jan 2008, In : SIAM Journal on Scientific Computing. 30, 2, p. 618-636 19 p.

Research output: Contribution to journalArticle

2007

A refined Galerkin error and stability analysis for highly indefinite variational problems

Banjai, L. & Sauter, S., 2007, In : SIAM Journal on Numerical Analysis. 45, 1, p. 37–53 17 p.

Research output: Contribution to journalArticle

Eigenfrequencies of fractal drums

Banjai, L., 1 Jan 2007, In : Journal of Computational and Applied Mathematics. 198, 1, p. 1-18 18 p.

Research output: Contribution to journalArticle

2003

A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides

Banjai, L. & Trefethen, L. N., 2003, In : SIAM Journal on Scientific Computing. 25, 3, p. 1042–1065 24 p.

Research output: Contribution to journalArticle

2001

Numerical solution of the omitted area problem of univalent function theory

Banjai, L. & Trefethen, L. N., 1 Sep 2001, In : Computational Methods and Function Theory. 1, 1, p. 259-273 15 p.

Research output: Contribution to journalArticle