A. S. Fokas

Statistical and Nonlinear Physics · 2000–2016

A researcher in the Science corpus: 24 papers; trusts 10 researchers and is trusted by 38 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 12 citations into it; #400 of 10,127 by trust here, #1,085 by citations
• Mathematical Physics — 7 citations into it; #3,574 of 8,562 by trust here, #3,022 by citations
• Applied Mathematics — 6 citations into it

Whom A. S. Fokas trusts overall

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

1. Alexander Its
2. Anne Boutet de Monvel
3. Justin Holmer
4. Beatrice Pelloni
5. Natasha Flyer
6. Percy Deift
7. Arieh Iserles
8. Jonatan Lenells
9. Dmitry Shepelsky
10. Scott R. Fulton

Who trusts A. S. Fokas overall

1. Jonatan Lenells
2. Beatrice Pelloni
3. Shou‐Fu Tian
4. Anne Boutet de Monvel
5. Bengt Fornberg
6. Mark J. Ablowitz
7. Justin Holmer
8. Darren Crowdy
9. W. Saarloos
10. Dmitry Shepelsky

Papers from A. S. Fokas's perspective

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

1. A new transform method for evolution partial differential equations
2. The generalized Dirichlet‐to‐Neumann map for certain nonlinear evolution PDEs
3. The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
4. On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms
5. A Unified Approach To Boundary Value Problems
6. A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line (Proceedings of the Royal Society A)
7. An analytical method for linear elliptic PDEs and its numerical implementation
8. On a transform method for the Laplace equation in a polygon
9. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
10. Hamiltonian long–wave expansions for water waves over a rough bottom (Proceedings of the Royal Society A)

Their papers

• A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon (2010) — 64 citations
• On a transform method for the Laplace equation in a polygon (2003) — 71 citations
• THE mKdV EQUATION ON THE HALF-LINE (2004) — 105 citations
• Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation (2016) — 298 citations
• Unified Transform for Boundary Value Problems: Applications and Advances (2014) — 56 citations
• The unified method: I. Nonlinearizable problems on the half-line (2011) — 141 citations
• The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation (2008) — 60 citations
• On a novel integrable generalization of the nonlinear Schrödinger equation (2008) — 191 citations
• A Unified Approach To Boundary Value Problems (2008) — 492 citations
• A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line (2008) — 71 citations
• Painleve Transcendents: The Riemann-hilbert Approach (2006) — 455 citations
• Integrable Nonlinear Evolution Equations on a Finite Interval (2006) — 84 citations
• On a new non-local formulation of water waves (2006) — 150 citations
• The generalized Dirichlet‐to‐Neumann map for certain nonlinear evolution PDEs (2005) — 104 citations
• An analytical method for linear elliptic PDEs and its numerical implementation (2004) — 57 citations
• The nonlinear Schrödinger equation on the half-line (2004) — 187 citations
• Explicit integral solutions for the plane elastostatic semi-strip (2004) — 49 citations
• Analysis of the Global Relation for the Nonlinear Schrödinger Equation on the Half-line (2003) — 96 citations
• Integrable Nonlinear Evolution Equations on the Half-Line (2002) — 300 citations
• A new transform method for evolution partial differential equations (2002) — 140 citations