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Mathematics

D-Index
39
Citations
8965
World Ranking
2145
National Ranking
115

Overview

Hermann Brunner is affiliated with Hong Kong Baptist University in China and specializes in mathematical research with a focus on numerical analysis and modeling and simulation. Their work primarily addresses aspects of differential equations and numerical methods, including specialized studies in fractional differential equations.

The scientist's research is distributed among key fields and subfields as follows:

  • Mathematics
  • Numerical Analysis
  • Modeling and Simulation

Brunner's research topics consistently center on methods for solving differential equations, including:

  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Numerical methods for differential equations

One of their recent published works includes:

  • "The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations," 2020, published in the Journal of Scientific Computing

Hermann Brunner has collaborated with coauthors such as Hui Liang, who contributed to their joint work on numerical methods and integral equations.

  • Hui Liang

Their publications have appeared in venues including:

  • Journal of Scientific Computing

Best Publications

  • Collocation Methods for Volterra Integral and Related Functional Differential Equations

    Hermann Brunner

  • The numerical solution of Volterra equations

    H. Brunner;P. J. van der Houwen

  • Blowup in diffusion equations: a survey

    Catherine Bandle;Hermann Brunner

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

    Hermann Brunner

  • On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods

    Hermann Brunner

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

    Hermann Brunner;Arvet Pedas;Gennadi Vainikko

  • Volterra Integral Equations: An Introduction to Theory and Applications

    Hermann Brunner

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

    Hermann Brunner;Arvet Pedas;Gennadi Vainikko

  • Nonpolynomial Spline Collocation for Volterra Equations With Weakly Singular Kernels

    Hermann Brunner

  • Numerical simulations of 2D fractional subdiffusion problems

    Hermann Brunner;Leevan Ling;Masahiro Yamamoto

  • Stability of numerical methods for volterra integro-differential equations

    Hermann Brunner;J. D. Lambert

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

    Hermann Brunner

  • Implicitly linear collocation methods for nonlinear Volterra equations

    Hermann Brunner

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

    Shuhuang Xiang;Yeol Je Cho;Haiyong Wang;Hermann Brunner

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

    Hermann Brunner

  • A spectral method for pantograph-type delay differential equations and its convergence analysis

    Ishtiaq Ali;Hermann Brunner;Tao Tang

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

    Ishtiaq Ali;Ishtiaq Ali;Hermann Brunner;Hermann Brunner;Tao Tang

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

    Hermann Brunner

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

    Hermann Brunner;Ernst Hairer;Syvert Paul Norsett

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

    Hermann Brunner;Dominik Schötzau

  • Nonlinear Dynamics and Evolution Equations

    Hermann Brunner;Xiao-Qiang Zhao;Xingfu Zou

  • The Numerical Solution of Volterra Equations.

    H. Brunner;P. J. Van Der Houwen

  • Analytical and Numerical Methods for Volterra Equations.

    Unknown

Frequent Co-Authors

Tao Tang
Tao Tang Hong Kong Baptist University
Syvert P. Nørsett
Syvert P. Nørsett Norwegian University of Science and Technology
Arieh Iserles
Arieh Iserles University of Cambridge
Dominik Schötzau
Dominik Schötzau University of British Columbia
Ernst Hairer
Ernst Hairer University of Geneva
Yeol Je Cho
Yeol Je Cho Gyeongsang National University
Raymond H. Chan
Raymond H. Chan Lingnan University
Michael A. Saunders
Michael A. Saunders Stanford University
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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