William McLean

Modeling and Simulation · 2004–2018

A researcher in the Science corpus: 6 papers; trusts 24 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 22 citations into it; #959 of 2,105 by trust here, #918 by citations
• Numerical Analysis — 18 citations into it; #1,633 of 3,586 by trust here, #1,372 by citations
• Applied Mathematics — 9 citations into it; #6,473 of 7,620 by trust here, #4,482 by citations
• Mechanics of Materials — 8 citations into it
• Computational Theory and Mathematics — 7 citations into it; #5,101 of 12,182 by trust here, #6,798 by citations

Whom William McLean trusts overall

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

1. Vidar Thomée
2. Ralf Metzler
3. Timothy A. Davis
4. Eduardo Cuesta
5. Santos B. Yuste
6. M. López-Fernández
7. Cesar Palencia
8. Ian H. Sloan
9. Joseph Klafter
10. Rudolf Gorenflo

Who trusts William McLean overall

1. Vidar Thomée
2. Lloyd N. Trefethen
3. Martin Stynes
4. Bangti Jin
5. J. Andre Weideman
6. Raytcho D. Lazarov
7. Thomas Schmelzer
8. Changpin Li

Papers from William McLean's perspective

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

1. Fractional Reaction-Diffusion
2. Applications Of Fractional Calculus In Physics
3. Time Fractional Diffusion: A Discrete Random Walk Approach
4. Fractional Differential Equations
5. Boundary value problems for fractional diffusion equations
6. The accuracy and stability of an implicit solution method for the fractional diffusion equation
7. Finite difference/spectral approximations for the time-fractional diffusion equation (Journal of Computational Physics)
8. An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations (SIAM Journal on Numerical Analysis)
9. On the numerical inversion of the Laplace transform of certain holomorphic mappings
10. Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method (TOMS)

Their papers

• Time discretization of an evolution equation via Laplace transforms (2004) — 87 citations
• Regularity of solutions to a time-fractional diffusion equation (2010) — 167 citations
• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem (2018) — 133 citations
• A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems (2018) — 314 citations
• Numerical solution via Laplace transforms of a fractional order evolution equation (2010) — 118 citations
• Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation (2010) — 70 citations