Hermann Brunner

34 papers Journal 34

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels. Appl. Math. Comput. P. Peyrovan, A. Tari, Hermann Brunner
2020	J	`jnl`	The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations. J. Sci. Comput. Hui Liang, Hermann Brunner
2019	J	`jnl`	The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations. SIAM J. Numer. Anal. Hui Liang, Hermann Brunner
2017	J	`jnl`	Pauses of Larval Development and Their Consequences for Stage-Structured Populations. SIAM J. Appl. Math. Hermann Brunner, Stephen A. Gourley, Rongsong Liu, Yanyu Xiao
2016	J	`jnl`	Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations. SIAM J. Numer. Anal. Ran Zhang, Hui Liang, Hermann Brunner
2016	J	`jnl`	Integral-Algebraic Equations: Theory of Collocation Methods II. SIAM J. Numer. Anal. Hui Liang, Hermann Brunner
2016	J	`jnl`	Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain. J. Sci. Comput. Hermann Brunner, Tao Tang, Jiwei Zhang
2014	J	`jnl`	Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. J. Comput. Phys. Hermann Brunner, Houde Han, Dongsheng Yin
2013	J	`jnl`	Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations. SIAM J. Numer. Anal. Z. W. Yang, Hermann Brunner
2013	J	`jnl`	Integral-Algebraic Equations: Theory of Collocation Methods I. SIAM J. Numer. Anal. Hui Liang, Hermann Brunner
2013	J	`jnl`	The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay. SIAM J. Sci. Comput. Qiumei Huang, Hehu Xie, Hermann Brunner
2011	J	`jnl`	An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. SIAM J. Numer. Anal. Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau
2011	J	`jnl`	Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. SIAM J. Sci. Comput. Hehu Xie, Ran Zhang, Hermann Brunner
2011	J	`jnl`	Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2. J. Sci. Comput. Jiwei Zhang, Houde Han, Hermann Brunner
2011	J	`jnl`	Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. SIAM J. Sci. Comput. Qiumei Huang, Hehu Xie, Hermann Brunner
2010	J	`jnl`	Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains. SIAM J. Sci. Comput. Hermann Brunner, Xiaonan Wu, Jiwei Zhang
2010	J	`jnl`	Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM J. Numer. Anal. Hermann Brunner, Qiumei Huang, Hehu Xie
2010	J	`jnl`	Numerical simulations of 2D fractional subdiffusion problems. J. Comput. Phys. Hermann Brunner, Leevan Ling, Masahiro Yamamoto
2008	J	`jnl`	A super-attainable order in collocation methods for differential equations with proportional delay. Appl. Math. Comput. Emiko Ishiwata, Yoshiaki Muroya, Hermann Brunner
2007	J	`jnl`	Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type. SIAM J. Numer. Anal. Hermann Brunner, Qiya Hu
2006	J	`jnl`	hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations. SIAM J. Numer. Anal. Hermann Brunner, Dominik Schötzau
2005	J	`jnl`	Finite element methods for optimal control problems governed by integral equations and integro-differential equations. Numerische Mathematik Hermann Brunner, Ningning Yan
2005	J	`jnl`	Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays. SIAM J. Numer. Anal. Hermann Brunner, Qiya Hu
2003	J	`jnl`	Stability of solutions of delay functional integro-differential equations and their discretizations. Computing Hermann Brunner, Rossana Vermiglio
2001	J	`jnl`	Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels. SIAM J. Numer. Anal. Hermann Brunner, Arvet Pedas, Gennadi Vainikko
1999	J	`jnl`	The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations. Math. Comput. Hermann Brunner, Arvet Pedas, Gennadi Vainikko
1997	J	`jnl`	Continuous collocation approximations to solutions of first kind Volterra equations. Math. Comput. J.-P. Kauthen, Hermann Brunner
1993	J	`jnl`	Continuous Volterra-Runge-Kutta methods for integral equations with pure delay. Computing Natalie Baddour, Hermann Brunner
1991	J	`jnl`	Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind. ACM Trans. Math. Softw. J. G. Blom, Hermann Brunner
1988	J	`jnl`	The approximate solution of initial-value problems for general Volterra integro-differential equations. Computing Hermann Brunner
1979	J	`jnl`	A note on collocation methods for Volterra integral equations of the first kind. Computing Hermann Brunner
1979	J	`jnl`	Superconvergence of collocation methods for Volterra integral equations of the first kind. Computing Hermann Brunner
1974	J	`jnl`	On the approximate solution of first-kind integral equations of Volterra type. Computing Hermann Brunner
1974	J	`jnl`	Stability of numerical methods for volterra integro-differential equations. Computing Hermann Brunner, J. D. Lambert