Mark Ainsworth
Modeling and Simulation · 2000–2018
A researcher in the Science corpus: 5 papers; trusts 18 researchers and is trusted by 97 researchers here, as inferred from the citation graph.
Subfields
- Modeling and Simulation — 33 citations into it; #1,509 of 2,105 by trust here, #1,501 by citations
- Applied Mathematics — 32 citations into it
- Computational Theory and Mathematics — 27 citations into it
- Numerical Analysis — 26 citations into it; #539 of 3,586 by trust here, #1,007 by citations
- Mathematical Physics — 14 citations into it
- Mechanics of Materials — 11 citations into it; #4,559 of 6,291 by trust here, #5,193 by citations
- Computational Mechanics — 10 citations into it; #2,041 of 10,001 by trust here, #6,877 by citations
Whom Mark Ainsworth trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- John W. Cahn
- Mohamed M. Khader
- Chuanju Xu
- Tadeusz Kaczorek
- Xianjuan Li
- Goro Akagi
- George J. Fix III
- Alexandre Ern
- Mohsen Zayernouri
- Jan S. Hesthaven
Who trusts Mark Ainsworth overall
- Shuyu Sun
- Roland Becker
- William Oberkampf
- Carlos Armando Duarte
- Juan José Ródenas
- Mary F. Wheeler
- Carsten Carstensen
- Christopher J. Roy
- Hengguang Li
- Xinghui Zhong
Papers from Mark Ainsworth's perspective
Ordered by how strongly the researchers Mark Ainsworth trusts endorse each paper. Same corpus, a different order for every researcher.
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation (Journal of Computational Physics)
- Fractional Reaction-Diffusion
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation (SIAM Journal on Numerical Analysis)
- A fully discrete difference scheme for a diffusion-wave system
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R 2
- Financial Modelling with Jump Processes
- Fractional Differential Equations
- Application of a fractional advection‐dispersion equation
- Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation
Their papers
- What is the fractional Laplacian? A comparative review with new results (2018) — 476 citations
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods (2004) — 316 citations
- Well-posedness of the Cahn–Hilliard equation with fractional free energy and its Fourier Galerkin approximation (2017) — 51 citations
- A unified Petrov-Galerkin spectral method for fractional PDEs (2015) — 117 citations
- A Posteriori Error Estimation in Finite Element Analysis (2000) — 2,932 citations