Jesús Vigo-Aguiar

Numerical Analysis · 2001–2020

A researcher in the Science corpus: 10 papers; trusts 5 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 14 citations into it; #590 of 3,586 by trust here, #457 by citations
• Computational Theory and Mathematics — 7 citations into it; #2,637 of 12,182 by trust here, #2,851 by citations

Whom Jesús Vigo-Aguiar trusts overall

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

1. Branislav @. Nikoli
2. Jean-Paul Berrut
3. Lloyd N. Trefethen

Who trusts Jesús Vigo-Aguiar overall

1. T. E. Simos
2. Pratibhamoy Das
3. Ibraheem Alolyan
4. Athinoula Kosti
5. Srinivasan Natesan
6. B. Guo
7. Damianos P. Sakas
8. Zacharias A. Anastassi
9. Manuel Calvo
10. Jianfeng Yan

Papers from Jesús Vigo-Aguiar's perspective

Ordered by how strongly the researchers Jesús Vigo-Aguiar trusts endorse each paper. Same corpus, a different order for every researcher.

1. Barycentric Lagrange Interpolation
2. Numerical Methods for Ordinary Differential Equations: Butcher/Numerical Methods
3. AN INTRODUCTION TO SINGULAR PERTURBATIONS
4. PDE methods for pricing barrier options
5. Methods of Numerical Integration
6. Barycentric rational interpolation with no poles and high rates of approximation (Numerische Mathematik)
7. A family of embedded Runge-Kutta formulae
8. Matrix analysis
9. Is Gauss Quadrature Better than Clenshaw-Curtis? (SIAM Review)
10. An Introduction to the Approximation of Functions

Their papers

• Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation (2002) — 90 citations
• Family of Twelve Steps Exponential Fitting Symmetric Multistep Methods for the Numerical Solution of the Schrödinger Equation (2002) — 96 citations
• Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations (2003) — 110 citations
• An efficient numerical method for singular perturbation problems (2006) — 76 citations
• Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature (2020) — 112 citations
• A family of A-stable Runge–Kutta collocation methods of higher order for initial-value problems (2007) — 59 citations
• On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options (2007) — 68 citations
• Variable stepsize implementation of multistep methods for y' ' = f ( x, y, y' ) (2006) — 100 citations
• Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers (2003) — 74 citations
• AN ADAPTED SYMPLECTIC INTEGRATOR FOR HAMILTONIAN PROBLEMS (2001) — 52 citations