Hermann Brunner

According to our database, Hermann Brunner authored at least 34 papers between 1974 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels.

P. Peyrovan, A. Tari, Hermann Brunner

Appl. Math. Comput., 2025

2020

The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations.

Hui Liang, Hermann Brunner

J. Sci. Comput., 2020

2019

The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations.

Hui Liang, Hermann Brunner

SIAM J. Numer. Anal., 2019

2017

Pauses of Larval Development and Their Consequences for Stage-Structured Populations.

Hermann Brunner, Stephen A. Gourley, Rongsong Liu, Yanyu Xiao

SIAM J. Appl. Math., 2017

2016

Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations.

Ran Zhang, Hui Liang, Hermann Brunner

SIAM J. Numer. Anal., 2016

Integral-Algebraic Equations: Theory of Collocation Methods II.

Hui Liang, Hermann Brunner

SIAM J. Numer. Anal., 2016

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain.

Hermann Brunner, Tao Tang, Jiwei Zhang

J. Sci. Comput., 2016

2014

Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain.

Hermann Brunner, Houde Han, Dongsheng Yin

J. Comput. Phys., 2014

2013

The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay.

Qiumei Huang, Hehu Xie, Hermann Brunner

SIAM J. Sci. Comput., 2013

Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations.

Z. W. Yang, Hermann Brunner

SIAM J. Numer. Anal., 2013

Integral-Algebraic Equations: Theory of Collocation Methods I.

Hui Liang, Hermann Brunner

SIAM J. Numer. Anal., 2013

2011

Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays.

Hehu Xie, Ran Zhang, Hermann Brunner

SIAM J. Sci. Comput., 2011

Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type.

Qiumei Huang, Hehu Xie, Hermann Brunner

SIAM J. Sci. Comput., 2011

An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type.

Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau

SIAM J. Numer. Anal., 2011

Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2.

Jiwei Zhang, Houde Han, Hermann Brunner

J. Sci. Comput., 2011

2010

Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains.

Hermann Brunner, Xiaonan Wu, Jiwei Zhang

SIAM J. Sci. Comput., 2010

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type.

Hermann Brunner, Qiumei Huang, Hehu Xie

SIAM J. Numer. Anal., 2010

Numerical simulations of 2D fractional subdiffusion problems.

Hermann Brunner, Leevan Ling, Masahiro Yamamoto

J. Comput. Phys., 2010

2008

A super-attainable order in collocation methods for differential equations with proportional delay.

Emiko Ishiwata, Yoshiaki Muroya, Hermann Brunner

Appl. Math. Comput., 2008

2007

Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type.

Hermann Brunner, Qiya Hu

SIAM J. Numer. Anal., 2007

2006

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations.

Hermann Brunner, Dominik Schötzau

SIAM J. Numer. Anal., 2006

2005

Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays.

Hermann Brunner, Qiya Hu

SIAM J. Numer. Anal., 2005

Finite element methods for optimal control problems governed by integral equations and integro-differential equations.

Hermann Brunner, Ningning Yan

Numerische Mathematik, 2005

2003

Stability of solutions of delay functional integro-differential equations and their discretizations.

Hermann Brunner, Rossana Vermiglio

Computing, 2003

2001

Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels.

Hermann Brunner, Arvet Pedas, Gennadi Vainikko

SIAM J. Numer. Anal., 2001

1999

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations.

Hermann Brunner, Arvet Pedas, Gennadi Vainikko

Math. Comput., 1999

1997

Continuous collocation approximations to solutions of first kind Volterra equations.

J.-P. Kauthen, Hermann Brunner

Math. Comput., 1997

1993

Continuous Volterra-Runge-Kutta methods for integral equations with pure delay.

Natalie Baddour, Hermann Brunner

Computing, 1993

1991

Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind.

J. G. Blom, Hermann Brunner

ACM Trans. Math. Softw., 1991

1988

The approximate solution of initial-value problems for general Volterra integro-differential equations.

Hermann Brunner

Computing, 1988

1979

Superconvergence of collocation methods for Volterra integral equations of the first kind.

Hermann Brunner

Computing, 1979

A note on collocation methods for Volterra integral equations of the first kind.

Hermann Brunner

Computing, 1979

1974

Stability of numerical methods for volterra integro-differential equations.

Hermann Brunner, J. D. Lambert

Computing, 1974

On the approximate solution of first-kind integral equations of Volterra type.

Hermann Brunner

Computing, 1974