Hermann Brunner

发表

Numerical simulations of 2D fractional subdiffusion problems

Hermann Brunner, Leevan Ling, Masahiro Yamamoto, 2010, J. Comput. Phys..

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

Hermann Brunner, Qiya Hu, 2005, SIAM J. Numer. Anal..

Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays

Ran Zhang, Hehu Xie, Hermann Brunner, 2011, SIAM J. Scientific Computing.

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

Hehu Xie, Qiumei Huang, Hermann Brunner, 2013, SIAM J. Sci. Comput..

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

Hermann Brunner, Z. W. Yang, H. Brunner, 2013, SIAM J. Numer. Anal..

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

Hermann Brunner, 2005, Computing.

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

Hehu Xie, Qiumei Huang, Hermann Brunner, 2011, SIAM J. Sci. Comput..

Integral-Algebraic Equations: Theory of Collocation Methods I

Hui Liang, Hermann Brunner, H. Brunner, 2013, SIAM J. Numer. Anal..

Continuous collocation approximations to solutions of first kind Volterra equations

Hermann Brunner, J.-P. Kauthen, H. Brunner, 1997, Math. Comput..

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

Natalie Baddour, Hermann Brunner, 2005, Computing.

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

Hermann Brunner, Arvet Pedas, Gennadi Vainikko, 1999, Math. Comput..

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

Hermann Brunner, 2005, Computing.

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

Jiwei Zhang, Xiaonan Wu, Hermann Brunner, 2009, SIAM J. Sci. Comput..

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, 2014, J. Comput. Phys..

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

Rossana Vermiglio, Hermann Brunner, 2003, Computing.

Stability of numerical methods for volterra integro-differential equations

Hermann Brunner, J. D. Lambert, 2005, Computing.

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

Dominik Schötzau, Hermann Brunner, D. Schötzau, 2006, SIAM J. Numer. Anal..

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

Hermann Brunner, Arvet Pedas, Gennadi Vainikko, 2001, SIAM J. Numer. Anal..

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

Emiko Ishiwata, Hermann Brunner, Yoshiaki Muroya, 2008, Appl. Math. Comput..

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

Tao Tang, Jiwei Zhang, Hermann Brunner, 2016, J. Sci. Comput..

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

Hermann Brunner, H. Brunner, 1988, Computing.

Integral-Algebraic Equations: Theory of Collocation Methods II

Hui Liang, Hermann Brunner, H. Brunner, 2016, SIAM J. Numer. Anal..

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type

Hehu Xie, Qiumei Huang, Hermann Brunner, 2010, SIAM J. Numer. Anal..

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

Hermann Brunner, Stephen A. Gourley, Rongsong Liu, 2017, SIAM J. Appl. Math..

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

Jiwei Zhang, Hermann Brunner, Houde Han, 2011, J. Sci. Comput..

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

Hermann Brunner, H. Brunner, 1974, Computing.

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

Hermann Brunner, J. G. Blom, 1991, TOMS.

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

Kassem Mustapha, Dominik Schötzau, Hermann Brunner, 2011, SIAM J. Numer. Anal..

Polynomial spline collocation methods for the nonlinear basset equation

Hermann Brunner, Tao Tang, H. Brunner, 1989 .

Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays

Hermann Brunner, H. Brunner, 2009 .

1896–1996: one hundred years of Volterra integral equations of the first kind

Hermann Brunner, H. Brunner, 1997 .

Time transformations for delay differential equations

Hermann Brunner, Stefano Maset, H. Brunner, 2009 .

On the discretization of differential and Volterra integral equations with variable delay

Hermann Brunner, H. Brunner, 1997 .

High-order methods for the numerical solution of Volterra integro-differential equations

Hermann Brunner, H. Brunner, 1986 .

The numerical treatment of Volterra integro-differential equations with unbounded delay

Hermann Brunner, H. Brunner, 1989 .

A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations

Hermann Brunner, H. Brunner, 1982 .

Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations

Hermann Brunner, 1984 .

Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type

Qiumei Huang, Hermann Brunner, Xiuxiu Xu, 2016 .

Collocation Methods for Volterra Integral and Related Functional Differential Equations: Epilogue

Hermann Brunner, 2004 .

Discontinuous Galerkin approximations for Volterra integral equations of the first kind

Hermann Brunner, Dugald B. Duncan, Penny J. Davies, 2009 .

The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods

Hermann Brunner, H. Brunner, 1999 .

Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels

Shuhuang Xiang, Hermann Brunner, H. Brunner, 2013 .

Geometric meshes in collocation methods for Volterra integral equations with proportional time delays

Hermann Brunner, Qiya Hu, H. Brunner, 1999 .

Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations

Hermann Brunner, 1994 .

Geometric meshes in collocation methods for Volterra integral equations with proportional delays

Qun Lin, Hermann Brunner, Qiya Hu, 2001 .

Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels

Hermann Brunner, H. Brunner, 1986 .

Higher Accuracy Methods for Second-Kind Volterra Integral Equations Based on Asymptotic Expansions of Iterated Galerkin Methods

Yanping Lin, Shuhua Zhang, Hermann Brunner, 1998 .

On mixed collocation methods for Volterra integral equations with periodic solution

Hermann Brunner, R. K. Miller, Athena Makroglou, 1997 .

The Maximum Principle for Time-Fractional Diffusion Equations and Its Application

Hermann Brunner, Houde Han, Dongsheng Yin, 2015 .

Runge-Kutta theory for Volterra integral equations of the second kind

Hermann Brunner, Ernst Hairer, Syvert P. Nørsett, 1982 .

Collocation Methods for Volterra Integral and Related Functional Differential Equations: The collocation method for ODEs: an introduction

Hermann Brunner, 2004 .

Numerical simulations of two-dimensional fractional subdiffusion problems

Hermann Brunner, Leevan Ling, Masahiro Yamamoto, 2009 .

Numerical analysis for functional differential and integral equations

Stefan Vandewalle, Hermann Brunner, Tao Tang, 2009 .

High-order collocation methods for singular Volterra functional equations of neutral type

Hermann Brunner, H. Brunner, 2007 .

Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind

Hermann Brunner, Syvert P. Nørsett, S. P. Nørsett, 1981 .

The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains

Hermann Brunner, Houde Han, Jingtang Ma, 2005 .

Nonlinear Dynamics and Evolution Equations

Xiao-Qiang Zhao, Hermann Brunner, Xingfu Zou, 2006 .

Implicitly linear collocation methods for nonlinear Volterra equations

Hermann Brunner, H. Brunner, 1992 .

The numerical solution of integral equations with weakly singular kernels

Hermann Brunner, 1984 .

On the singular values and eigenvalues of the Fox–Li and related operators

Arieh Iserles, Hermann Brunner, Albrecht Böttcher, 2010 .

A family of methods for Abel integral equations of the second kind

Hermann Brunner, Antonia Vecchio, E. Russo, 1991 .

Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations

Hermann Brunner, H. Brunner, 1984 .

The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated Collocation

Hermann Brunner, J.-P. Kauthen, H. Brunner, 1989 .

Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications

Shuhuang Xiang, Yeol Je Cho, Hermann Brunner, 2011 .

The computation of the spectra of highly oscillatory Fredholm integral operators

Arieh Iserles, Hermann Brunner, Syvert P. Nørsett, 2011 .

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution

Hermann Brunner, R. K. Miller, Athena Makroglou, 1997 .

Collocation methods for nonlinear Volterra integro-differential equations with infinite delay

Hermann Brunner, H. Brunner, 1989 .

The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes

Hermann Brunner, H. Brunner, 1985 .

Iterated collocation methods for Volterra integral equations with delay arguments

Hermann Brunner, 1994 .

The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays

Hermann Brunner, 2006 .

On the attainable order of collocation methods for pantograph integro-differential equations

Emiko Ishiwata, Hermann Brunner, Yoshiaki Muroya, 2003 .

A Spline Collocation Method for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

Hermann Brunner, Arvet Pedas, Gennadi Vainikko, 2001 .

On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations

Hermann Brunner, Hui Liang, 2016 .

Spectral methods for pantograph-type differential and integral equations with multiple delays

Ishtiaq Ali, Hermann Brunner, Tao Tang, 2009 .

The numerical analysis of functional integral and integro-differential equations of Volterra type

Hermann Brunner, H. Brunner, 2004, Acta Numerica.

BIT Numerical Mathematics: Editorial

Raymond H. Chan, A. C. Damhaug, Dimitri Breda, 2005 .

The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods

Hermann Brunner, J. Blom, H. Brunner, 1987 .

Recent advances in the numerical analysis of Volterra functional differential equations with variable delays

Hermann Brunner, H. Brunner, 2009 .

Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels

Hermann Brunner, H. Brunner, 1983 .

The spectral problem for a class of highly oscillatory Fredholm integral operators

Arieh Iserles, Hermann Brunner, Syvert P. Nørsett, 2010 .

The numerical solution of a class of Abel integral equations by piecewise polynomials

Hermann Brunner, H. Brunner, 1973 .

Analysis of collocation solutions for a class of functional equations with vanishing delays

Hehu Xie, Ran Zhang, Hermann Brunner, 2011 .

On global superconvergence of iterated collocation solutions to linear second-kind Volterra integral equations

Hermann Brunner, Ningning Yan, H. Brunner, 1996 .

Primary discontinuities in solutions for delay integro-differential equations

Hermann Brunner, Wenkui Zhang, H. Brunner, 1999 .

Discretization of Volterra integral equations of the first kind

Hermann Brunner, 1977 .

Superconvergence in Collocation Methods on Quasi-Graded Meshes for Functional Differential Equations with Vanishing Delays

Hermann Brunner, Stefano Maset, Alfredo Bellen, 2006 .

Discretization of Volterra integral equations of the first kind (II)

Hermann Brunner, 1978 .

Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains

Hermann Brunner, Houde Han, Jingtang Ma, 2006 .

Blowup in diffusion equations: a survey

Hermann Brunner, Catherine Bandle, H. Brunner, 1998 .

A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations

Hermann Brunner, Jingtang Ma, 2006 .