Hermann Brunner

Publication Activity (10 Years)

Years Active: 1974-2020
Publications (10 Years): 6

Top Topics

Globally Convergent

Algebraic Equations

Boundary Value Problem

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

J. Comput. Phys.

SIAM J. Appl. Math.

Publications

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) (2020)
Hui Liang, Hermann Brunner
The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations. SIAM J. Numer. Anal. 57 (4) (2019)
Hermann Brunner, Stephen A. Gourley, Rongsong Liu, Yanyu Xiao
Pauses of Larval Development and Their Consequences for Stage-Structured Populations. SIAM J. Appl. Math. 77 (3) (2017)
Hui Liang, Hermann Brunner
Integral-Algebraic Equations: Theory of Collocation Methods II. SIAM J. Numer. Anal. 54 (4) (2016)
Hermann Brunner, Tao Tang, Jiwei Zhang
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. J. Sci. Comput. 68 (3) (2016)
Ran Zhang, Hui Liang, Hermann Brunner
Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations. SIAM J. Numer. Anal. 54 (2) (2016)
Hermann Brunner, Houde Han, Dongsheng Yin
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 (2014)
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)
Z. W. Yang, Hermann Brunner
Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations. SIAM J. Numer. Anal. 51 (4) (2013)
Hui Liang, Hermann Brunner
Integral-Algebraic Equations: Theory of Collocation Methods I. SIAM J. Numer. Anal. 51 (4) (2013)
Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. SIAM J. Numer. Anal. 49 (4) (2011)
Jiwei Zhang, Houde Han, Hermann Brunner
Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2. J. Sci. Comput. 49 (3) (2011)
Hehu Xie, Ran Zhang, Hermann Brunner
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. SIAM J. Sci. Comput. 33 (6) (2011)
Qiumei Huang, Hehu Xie, Hermann Brunner
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. SIAM J. Sci. Comput. 33 (5) (2011)
Hermann Brunner, Leevan Ling, Masahiro Yamamoto
Numerical simulations of 2D fractional subdiffusion problems. J. Comput. Phys. 229 (18) (2010)
Hermann Brunner, Qiumei Huang, Hehu Xie
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 48 (5) (2010)
Hermann Brunner, Xiaonan Wu, Jiwei Zhang
Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. SIAM J. Sci. Comput. 31 (6) (2010)
Emiko Ishiwata, Yoshiaki Muroya, Hermann Brunner
A super-attainable order in collocation methods for differential equations with proportional delay. Appl. Math. Comput. 198 (1) (2008)
Hermann Brunner, Qiya Hu
Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 45 (3) (2007)
Hermann Brunner, Dominik Schötzau
hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations. SIAM J. Numer. Anal. 44 (1) (2006)
Hermann Brunner, Qiya Hu
Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays. SIAM J. Numer. Anal. 43 (5) (2005)
Hermann Brunner, Ningning Yan
Finite element methods for optimal control problems governed by integral equations and integro-differential equations. Numerische Mathematik 101 (1) (2005)
Hermann Brunner, Rossana Vermiglio
Stability of solutions of delay functional integro-differential equations and their discretizations. Computing 71 (3) (2003)
Hermann Brunner, Arvet Pedas, Gennadi Vainikko
Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels. SIAM J. Numer. Anal. 39 (3) (2001)
Hermann Brunner, Arvet Pedas, Gennadi Vainikko
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. Math. Comput. 68 (227) (1999)
J.-P. Kauthen, Hermann Brunner
Continuous collocation approximations to solutions of first kind Volterra equations. Math. Comput. 66 (220) (1997)
Natalie Baddour, Hermann Brunner
Continuous Volterra-Runge-Kutta methods for integral equations with pure delay. Computing 50 (3) (1993)
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) (1991)
Hermann Brunner
The approximate solution of initial-value problems for general Volterra integro-differential equations. Computing 40 (2) (1988)
Hermann Brunner
Superconvergence of collocation methods for Volterra integral equations of the first kind. Computing 21 (2) (1979)
Hermann Brunner
A note on collocation methods for Volterra integral equations of the first kind. Computing 23 (2) (1979)
Hermann Brunner
On the approximate solution of first-kind integral equations of Volterra type. Computing 13 (1) (1974)
Hermann Brunner, J. D. Lambert
Stability of numerical methods for volterra integro-differential equations. Computing 12 (1) (1974)