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Hermann Brunner
Hermann Brunner
Research Professor, Hong Kong Baptist University
Verified email at math.hkbu.edu.hk
Title
Cited by
Cited by
Year
Collocation methods for Volterra integral and related functional differential equations
H Brunner
Cambridge university press, 2004
15612004
The numerical solution of Volterra equations
H Brunner, PJ van der Houwen
(No Title), 1986
9801986
Blowup in diffusion equations: a survey
C Bandle, H Brunner
Journal of Computational and Applied Mathematics 97 (1-2), 3-22, 1998
3271998
Volterra integral equations: an introduction to theory and applications
H Brunner
Cambridge University Press, 2017
3132017
The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes
H Brunner
Mathematics of computation 45 (172), 417-437, 1985
2171985
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
H Brunner, A Pedas, G Vainikko
Mathematics of Computation 68 (227), 1079-1095, 1999
2081999
On the numerical solution of nonlinear Volterra–Fredholm integral equations by collocation methods
H Brunner
SIAM Journal on Numerical Analysis 27 (4), 987-1000, 1990
1851990
Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels
H Brunner, A Pedas, G Vainikko
SIAM Journal on Numerical Analysis 39 (3), 957-982, 2001
1612001
Stability of numerical methods for Volterra integro-differential equations
H Brunner, JD Lambert
Computing 12 (1), 75-89, 1974
1351974
Nonpolynomial spline collocation for Volterra equations with weakly singular kernels
H Brunner
SIAM journal on numerical analysis 20 (6), 1106-1119, 1983
1341983
Numerical simulations of 2D fractional subdiffusion problems
H Brunner, L Ling, M Yamamoto
Journal of Computational Physics 229 (18), 6613-6622, 2010
1252010
A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
H Brunner
Journal of Computational and Applied Mathematics 8 (3), 213-229, 1982
1201982
Implicitly linear collocation methods for nonlinear Volterra equations
H Brunner
Applied Numerical Mathematics 9 (3-5), 235-247, 1992
1181992
A spectral method for pantograph-type delay differential equations and its convergence analysis
I Ali, H Brunner, T Tang
Journal of Computational Mathematics, 254-265, 2009
1122009
Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations
H Brunner
Mathematics of computation 42 (165), 95-109, 1984
1121984
Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications
S Xiang, YJ Cho, H Wang, H Brunner
IMA Journal of Numerical Analysis 31 (4), 1281-1314, 2011
982011
Polynomial spline collocation methods for Volterra integrodifferential equations with weakly singular kernels
H Brunner
IMA Journal of Numerical Analysis 6 (2), 221-239, 1986
961986
Spectral methods for pantograph-type differential and integral equations with multiple delays
I Ali, H Brunner, T Tang
Frontiers of mathematics in China 4, 49-61, 2009
942009
On the attainable order of collocation methods for pantograph integro-differential equations
Y Muroya, E Ishiwata, H Brunner
Journal of Computational and Applied Mathematics 152 (1-2), 347-366, 2003
932003
Runge-Kutta theory for Volterra integral equations of the second kind
H Brunner, E Hairer, SP Nørsett
MATHEMATICS of computation 39 (159), 147-163, 1982
901982
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