 | 2011 |
| 14 |  | Jiwei Zhang,
Houde Han,
Hermann Brunner:
Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2.
J. Sci. Comput. 49(3): 367-382 (2011) |
| 13 |  | Kassem Mustapha,
Hermann Brunner,
Hussein Mustapha,
Dominik Schötzau:
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type.
SIAM J. Numerical Analysis 49(4): 1369-1396 (2011) |
| 12 |  | Qiumei Huang,
Hehu Xie,
Hermann Brunner:
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type.
SIAM J. Scientific Computing 33(5): 2664-2684 (2011) |
| 11 |  | Hehu Xie,
Ran Zhang,
Hermann Brunner:
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays.
SIAM J. Scientific Computing 33(6): 3303-3332 (2011) |
| 2010 |
| 10 |  | Hermann Brunner,
Leevan Ling,
Masahiro Yamamoto:
Numerical simulations of 2D fractional subdiffusion problems.
J. Comput. Physics 229(18): 6613-6622 (2010) |
| 9 |  | Hermann Brunner,
Qiumei Huang,
Hehu Xie:
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type.
SIAM J. Numerical Analysis 48(5): 1944-1967 (2010) |
| 8 |  | Hermann Brunner,
Xiaonan Wu,
Jiwei Zhang:
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains.
SIAM J. Scientific Computing 31(6): 4478-4496 (2010) |
| 2008 |
| 7 |  | Emiko Ishiwata,
Yoshiaki Muroya,
Hermann Brunner:
A super-attainable order in collocation methods for differential equations with proportional delay.
Applied Mathematics and Computation 198(1): 227-236 (2008) |
| 2007 |
| 6 |  | Hermann Brunner,
Qiya Hu:
Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type.
SIAM J. Numerical Analysis 45(3): 986-1004 (2007) |
| 2006 |
| 5 |  | Hermann Brunner,
Dominik Schötzau:
hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations.
SIAM J. Numerical Analysis 44(1): 224-245 (2006) |
| 2005 |
| 4 |  | Hermann Brunner,
Qiya Hu:
Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays.
SIAM J. Numerical Analysis 43(5): 1934-1949 (2005) |
| 2003 |
| 3 |  | Hermann Brunner,
Rossana Vermiglio:
Stability of solutions of delay functional integro-differential equations and their discretizations.
Computing 71(3): 229-245 (2003) |
| 1999 |
| 2 |  | Hermann Brunner,
Arvet Pedas,
Gennadi Vainikko:
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations.
Math. Comput. 68(227): 1079-1095 (1999) |
| 1997 |
| 1 |  | J.-P. Kauthen,
Hermann Brunner:
Continuous collocation approximations to solutions of first kind Volterra equations.
Math. Comput. 66(220): 1441-1459 (1997) |