Hermann Brunner - researchr alias

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Viewing Publication 1 - 29 from 29

2025

Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernelsP. Peyrovan, A. Tari, Hermann Brunner. amc, 489:129122, 2025. [doi]

2020

The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral EquationsHui Liang, Hermann Brunner. jscic, 84(1):12, 2020. [doi]

2019

The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral EquationsHui Liang, Hermann Brunner. siamnum, 57(4):1875-1896, 2019. [doi]

2017

Pauses of Larval Development and Their Consequences for Stage-Structured PopulationsHermann Brunner, Stephen A. Gourley, Rongsong Liu, Yanyu Xiao. siamam, 77(3):977-994, 2017. [doi]

2016

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded DomainHermann Brunner, Tao Tang, Jiwei Zhang. jscic, 68(3):1281-1298, 2016. [doi]

Integral-Algebraic Equations: Theory of Collocation Methods IIHui Liang, Hermann Brunner. siamnum, 54(4):2640-2663, 2016. [doi]

Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral EquationsRan Zhang, Hui Liang, Hermann Brunner. siamnum, 54(2):899-920, 2016. [doi]

2014

Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domainHermann Brunner, Houde Han, Dongsheng Yin. jcphy, 276:541-562, 2014. [doi]

2013

The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing DelayQiumei Huang, Hehu Xie, Hermann Brunner. siamsc, 35(3), 2013. [doi]

Integral-Algebraic Equations: Theory of Collocation Methods IHui Liang, Hermann Brunner. siamnum, 51(4):2238-2259, 2013. [doi]

2011

2010

Numerical simulations of 2D fractional subdiffusion problemsHermann Brunner, Leevan Ling, Masahiro Yamamoto. jcphy, 229(18):6613-6622, 2010. [doi]

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph TypeHermann Brunner, Qiumei Huang, Hehu Xie. siamnum, 48(5):1944-1967, 2010. [doi]

Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded DomainsHermann Brunner, Xiaonan wu, Jiwei Zhang. siamsc, 31(6):4478-4496, 2010. [doi]

2008

A super-attainable order in collocation methods for differential equations with proportional delayEmiko Ishiwata, Yoshiaki Muroya, Hermann Brunner. amc, 198(1):227-236, 2008. [doi]

2007

Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph TypeHermann Brunner, Qiya Hu. siamnum, 45(3):986-1004, 2007. [doi]

2006

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential EquationsHermann Brunner, Dominik Schötzau. siamnum, 44(1):224-245, 2006. [doi]

2005

Finite element methods for optimal control problems governed by integral equations and integro-differential equationsHermann Brunner, Ningning Yan. nm, 101(1):1-27, 2005. [doi]

Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing DelaysHermann Brunner, Qiya Hu. siamnum, 43(5):1934-1949, 2005. [doi]

2003

Stability of solutions of delay functional integro-differential equations and their discretizationsHermann Brunner, Rossana Vermiglio. computing, 71(3):229-245, 2003. [doi]

2001

Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular KernelsHermann Brunner, Arvet Pedas, Gennadi Vainikko. siamnum, 39(3):957-982, 2001. [doi]

1999

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equationsHermann Brunner, Arvet Pedas, Gennadi Vainikko. moc, 68(227):1079-1095, 1999.

1997

Continuous collocation approximations to solutions of first kind Volterra equationsJ.-P. Kauthen, Hermann Brunner. moc, 66(220):1441-1459, 1997.

1988

The approximate solution of initial-value problems for general Volterra integro-differential equationsHermann Brunner. computing, 40(2):125-137, 1988. [doi]

1979

Superconvergence of collocation methods for Volterra integral equations of the first kindHermann Brunner. computing, 21(2):151-157, 1979. [doi]

A note on collocation methods for Volterra integral equations of the first kindHermann Brunner. computing, 23(2):179-187, 1979. [doi]

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