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Hermann Brunner
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- affiliation: Hong Kong Baptist University, Kowloon Tong, Hong Kong
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2020 – today
- 2025
- [j34]P. Peyrovan
, A. Tari
Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels. Appl. Math. Comput. 489: 129122 (2025) - 2020
- [j33]Hui Liang, Hermann Brunner:
The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations. J. Sci. Comput. 84(1): 12 (2020)
2010 – 2019
- 2019
- [j32]Hui Liang
The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations. SIAM J. Numer. Anal. 57(4): 1875-1896 (2019) - 2017
- [j31]Hermann Brunner, Stephen A. Gourley
Pauses of Larval Development and Their Consequences for Stage-Structured Populations. SIAM J. Appl. Math. 77(3): 977-994 (2017) - 2016
- [j30]Hermann Brunner
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. J. Sci. Comput. 68(3): 1281-1298 (2016) - [j29]Ran Zhang, Hui Liang
Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations. SIAM J. Numer. Anal. 54(2): 899-920 (2016) - [j28]Hui Liang
Integral-Algebraic Equations: Theory of Collocation Methods II. SIAM J. Numer. Anal. 54(4): 2640-2663 (2016) - 2014
- [j27]Hermann Brunner
Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. J. Comput. Phys. 276: 541-562 (2014) - 2013
- [j26]Hui Liang
Integral-Algebraic Equations: Theory of Collocation Methods I. SIAM J. Numer. Anal. 51(4): 2238-2259 (2013) - [j25]Z. W. Yang, Hermann Brunner
Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations. SIAM J. Numer. Anal. 51(4): 2260-2282 (2013) - [j24]Qiumei Huang, Hehu Xie, Hermann Brunner
The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay. SIAM J. Sci. Comput. 35(3) (2013) - 2011
- [j23]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) - [j22]Kassem Mustapha
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. SIAM J. Numer. Anal. 49(4): 1369-1396 (2011) - [j21]Qiumei Huang, Hehu Xie, Hermann Brunner
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. SIAM J. Sci. Comput. 33(5): 2664-2684 (2011) - [j20]Hehu Xie, Ran Zhang, Hermann Brunner
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. SIAM J. Sci. Comput. 33(6): 3303-3332 (2011) - 2010
- [j19]Hermann Brunner
Numerical simulations of 2D fractional subdiffusion problems. J. Comput. Phys. 229(18): 6613-6622 (2010) - [j18]Hermann Brunner
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 48(5): 1944-1967 (2010) - [j17]Hermann Brunner
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. SIAM J. Sci. Comput. 31(6): 4478-4496 (2010)
2000 – 2009
- 2008
- [j16]Emiko Ishiwata, Yoshiaki Muroya, Hermann Brunner:
A super-attainable order in collocation methods for differential equations with proportional delay. Appl. Math. Comput. 198(1): 227-236 (2008) - 2007
- [j15]Hermann Brunner, Qiya Hu:
Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 45(3): 986-1004 (2007) - 2006
- [j14]Hermann Brunner, Dominik Schötzau:
hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations. SIAM J. Numer. Anal. 44(1): 224-245 (2006) - 2005
- [j13]Hermann Brunner, Ningning Yan:
Finite element methods for optimal control problems governed by integral equations and integro-differential equations. Numerische Mathematik 101(1): 1-27 (2005) - [j12]Hermann Brunner, Qiya Hu:
Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays. SIAM J. Numer. Anal. 43(5): 1934-1949 (2005) - 2003
- [j11]Hermann Brunner, Rossana Vermiglio
Stability of solutions of delay functional integro-differential equations and their discretizations. Computing 71(3): 229-245 (2003) - 2001
- [j10]Hermann Brunner, Arvet Pedas
Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels. SIAM J. Numer. Anal. 39(3): 957-982 (2001)
1990 – 1999
- 1999
- [j9]Hermann Brunner, Arvet Pedas
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. Math. Comput. 68(227): 1079-1095 (1999) - 1997
- [j8]J.-P. Kauthen, Hermann Brunner:
Continuous collocation approximations to solutions of first kind Volterra equations. Math. Comput. 66(220): 1441-1459 (1997) - 1993
- [j7]Natalie Baddour
Continuous Volterra-Runge-Kutta methods for integral equations with pure delay. Computing 50(3): 213-227 (1993) - 1991
- [j6]J. G. Blom, Hermann Brunner:
Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind. ACM Trans. Math. Softw. 17(2): 167-177 (1991)
1980 – 1989
- 1988
- [j5]Hermann Brunner:
The approximate solution of initial-value problems for general Volterra integro-differential equations. Computing 40(2): 125-137 (1988)
1970 – 1979
- 1979
- [j4]Hermann Brunner:
Superconvergence of collocation methods for Volterra integral equations of the first kind. Computing 21(2): 151-157 (1979) - [j3]Hermann Brunner:
A note on collocation methods for Volterra integral equations of the first kind. Computing 23(2): 179-187 (1979) - 1974
- [j2]Hermann Brunner, J. D. Lambert:
Stability of numerical methods for volterra integro-differential equations. Computing 12(1): 75-89 (1974) - [j1]Hermann Brunner:
On the approximate solution of first-kind integral equations of Volterra type. Computing 13(1): 67-79 (1974)
Coauthor Index
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