Hermann Brunner

Numerical Analysis · 2001–2017

A researcher in the Science corpus: 8 papers; trusts 18 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 21 citations into it; #507 of 3,586 by trust here, #508 by citations
• Applied Mathematics — 17 citations into it; #5,328 of 7,620 by trust here, #2,955 by citations
• Modeling and Simulation — 14 citations into it; #263 of 2,105 by trust here, #423 by citations
• Computational Theory and Mathematics — 9 citations into it; #9,359 of 12,182 by trust here, #9,306 by citations
• Mathematical Physics — 9 citations into it

Whom Hermann Brunner trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Shuhuang Xiang
2. Christopher T. H. Baker
3. Gennadi Vainikko
4. Roswitha März
5. Alfredo Bellen
6. Ivan P. Gavrilyuk
7. Kai Diethelm
8. Xiao-Qiang Zhao
9. Francesco Mainardi
10. Rudolf Gorenflo

Who trusts Hermann Brunner overall

1. Natalia Kopteva
2. Yunxia Wei
3. Ehsan Dadkhah Khiabani
4. Yanping Chen
5. Martin Stynes
6. Babak Shiri
7. Teresa Diogo
8. Gennadi Vainikko
9. H. Ghaffarzadeh
10. Xianjuan Li

Papers from Hermann Brunner's perspective

Ordered by how strongly the researchers Hermann Brunner trusts endorse each paper. Same corpus, a different order for every researcher.

1. A perspective on the numerical treatment of Volterra equations
2. Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel
3. Spectral Methods: Fundamentals in Single Domains
4. A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS *
5. Spectral and High-Order Methods with Applications
6. Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
7. Numerical methods for delay differential equations
8. Retarded differential equations
9. Fractional Differential Equations
10. Theory and Applications of Fractional Differential Equations

Their papers

• Spectral methods for pantograph-type differential and integral equations with multiple delays (2009) — 87 citations
• Volterra Integral Equations: An Introduction to Theory and Applications (2017) — 304 citations
• Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels (2013) — 66 citations
• Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications (2011) — 124 citations
• A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS * (2009) — 106 citations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations (2004) — 743 citations
• On the attainable order of collocation methods for pantograph integro-differential equations (2003) — 80 citations
• Geometric meshes in collocation methods for Volterra integral equations with proportional delays (2001) — 69 citations