On the approximate solution of first-kind integral equations of Volterra type. - Hermann Brunner (Computing, 1974)

Stability of numerical methods for volterra integro-differential equations. - Hermann Brunner; J. D. Lambert (Computing, 1974)

A note on collocation methods for Volterra integral equations of the first kind. - Hermann Brunner (Computing, 1979)

Superconvergence of collocation methods for Volterra integral equations of the first kind. - Hermann Brunner (Computing, 1979)

The approximate solution of initial-value problems for general Volterra integro-differential equations. - Hermann Brunner (Computing, 1988)

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)

Continuous Volterra-Runge-Kutta methods for integral equations with pure delay. - Natalie Baddour; Hermann Brunner (Computing, 1993)

Continuous collocation approximations to solutions of first kind Volterra equations. - J.-P. Kauthen; Hermann Brunner (Math. Comput., 1997)

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. - Hermann Brunner; Arvet Pedas; Gennadi Vainikko (Math. Comput., 1999)

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)

Stability of solutions of delay functional integro-differential equations and their discretizations. - Hermann Brunner; Rossana Vermiglio (Computing, 2003)

Finite element methods for optimal control problems governed by integral equations and integro-differential equations. - Hermann Brunner; Ningning Yan (Numerische Mathematik, 2005)

Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays. - Hermann Brunner; Qiya Hu (SIAM J. Numer. Anal., 2005)

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations. - Hermann Brunner; Dominik Schötzau (SIAM J. Numer. Anal., 2006)

Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type. - Hermann Brunner; Qiya Hu (SIAM J. Numer. Anal., 2007)

A super-attainable order in collocation methods for differential equations with proportional delay. - Emiko Ishiwata; Yoshiaki Muroya; Hermann Brunner (Appl. Math. Comput., 2008)

Numerical simulations of 2D fractional subdiffusion problems. - Hermann Brunner; Leevan Ling; Masahiro Yamamoto (J. Comput. Phys., 2010)

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. - Hermann Brunner; Qiumei Huang; Hehu Xie (SIAM J. Numer. Anal., 2010)

Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. - Hermann Brunner; Xiaonan Wu; Jiwei Zhang 002 (SIAM J. Sci. Comput., 2010)

Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2. - Jiwei Zhang 002; Houde Han; Hermann Brunner (J. Sci. Comput., 2011)

An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. - Kassem Mustapha 001; Hermann Brunner; Hussein Mustapha; Dominik Schötzau (SIAM J. Numer. Anal., 2011)

Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. - Qiumei Huang; Hehu Xie; Hermann Brunner (SIAM J. Sci. Comput., 2011)

Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. - Hehu Xie; Ran Zhang 002; Hermann Brunner (SIAM J. Sci. Comput., 2011)

Integral-Algebraic Equations: Theory of Collocation Methods I. - Hui Liang 001; Hermann Brunner (SIAM J. Numer. Anal., 2013)

Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations. - Z. W. Yang; Hermann Brunner (SIAM J. Numer. Anal., 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)

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)

Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. - Hermann Brunner; Tao Tang 003; Jiwei Zhang 002 (J. Sci. Comput., 2016)

Integral-Algebraic Equations: Theory of Collocation Methods II. - Hui Liang 001; Hermann Brunner (SIAM J. Numer. Anal., 2016)

Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations. - Ran Zhang; Hui Liang 001; Hermann Brunner (SIAM J. Numer. Anal., 2016)

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)

The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations. - Hui Liang 001; Hermann Brunner (SIAM J. Numer. Anal., 2019)

The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations. - Hui Liang; Hermann Brunner (J. Sci. Comput., 2020)

Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels. - P. Peyrovan; A. Tari; Hermann Brunner (Appl. Math. Comput., 2025)