T. E. Simos

Numerical Analysis · 2001–2018

A researcher in the Science corpus: 56 papers; trusts 36 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 38 citations into it; #126 of 3,586 by trust here, #12 by citations
• Numerical Methods & Scientific Computing — 25 citations into it
• Electrical and Electronic Engineering — 21 citations into it; #361 of 16,539 by trust here, #1,178 by citations
• Computational Mechanics — 19 citations into it; #1,641 of 10,001 by trust here, #903 by citations
• Economics and Econometrics — 16 citations into it; #10,895 of 23,481 by trust here, #13,596 by citations
• Finance — 15 citations into it; #5,047 of 10,518 by trust here, #5,523 by citations
• Computational Theory and Mathematics — 12 citations into it; #613 of 12,182 by trust here, #131 by citations
• Statistical and Nonlinear Physics — 6 citations into it; #3,598 of 10,127 by trust here, #1,949 by citations

Whom T. E. Simos trusts overall

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

1. K. Tselios
2. Hans Van De Vyver
3. George Avdelas
4. Charalambos Tsitouras
5. G. Panopoulos
6. Jesús Vigo-Aguiar
7. Damianos P. Sakas
8. Avrilia Konguetsof
9. Saudi Arabia
10. Zacharias A. Anastassi

Who trusts T. E. Simos overall

1. Ibraheem Alolyan
2. Charalambos Tsitouras
3. Kenan Mu
4. Athinoula Kosti
5. Ke Yan
6. Jing Ma
7. Zacharias A. Anastassi
8. Zhiwei Wang
9. D. B. Berg
10. Hang Ning

Papers from T. E. Simos's perspective

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

1. On the Explicit Four-Step Methods with Vanished Phase-Lag and its First Derivative
2. Solving Ordinary Differential Equations (Programming for Computations - Python)
3. A Generator and an Optimized Generator of High-Order Hybrid Explicit Methods for the Numerical Solution of the Schrödinger Equation. Part 1. Development of the Basic Method
4. A family of embedded Runge-Kutta formulae
5. Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation
6. Exponentially - Fitted Multiderivative Methods for the Numerical Solution of the Schrödinger Equation
7. Runge-Kutta pairs of order 5(4) satisfying only the first column simplifying assumption (Computers and Mathematics with Applications)
8. Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces
9. An Optimized Symmetric 8-Step Semi-Embedded Predictor-Corrector Method for IVPs with Oscillating Solutions
10. Evolutionary generation of high‐order, explicit, two‐step methods for second‐order linear IVPs

Their papers

• Global Financial Crisis and Emerging Stock Market Contagion: A Multivariate FIAPARCH-DCC Approach (2013) — 364 citations
• On the Explicit Four-Step Methods with Vanished Phase-Lag and its First Derivative (2014) — 125 citations
• Symplectic Methods for the Numerical Solution of the Radial Shrödinger Equation (2003) — 90 citations
• Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs (2009) — 155 citations
• Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation (2010) — 160 citations
• New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration (2003) — 151 citations
• A Generator and an Optimized Generator of High-Order Hybrid Explicit Methods for the Numerical Solution of the Schrödinger Equation. Part 1. Development of the Basic Method (2001) — 81 citations
• Symplectic Methods of Fifth Order for the Numerical Solution of the Radial Shrödinger Equation (2004) — 78 citations
• A Family of Trigonometrically-Fitted Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems (2003) — 82 citations
• Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation (2002) — 90 citations
• A Family of P-stable Eighth Algebraic Order Methods with Exponential Fitting Facilities (2001) — 48 citations
• Optimized Runge-Kutta pairs for problems with oscillating solutions (2002) — 96 citations
• An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems (2009) — 84 citations
• Exponentially - Fitted Multiderivative Methods for the Numerical Solution of the Schrödinger Equation (2004) — 96 citations
• Symplectic integrators for the numerical solution of the Schrödinger equation (2003) — 150 citations
• Modified two‐step hybrid methods for the numerical integration of oscillatory problems (2017) — 78 citations
• A Modified Runge-Kutta-Nystr¨ om Method by using Phase Lag Properties for the Numerical Solution of Orbital Problems (2013) — 139 citations
• Construction of Exponentially Fitted Symplectic Runge–Kutta–Nyström Methods from Partitioned Runge–Kutta Methods (2016) — 111 citations
• A New Optimized Symmetric Embedded Predictor- Corrector Method (EPCM) for Initial-Value Problems with Oscillatory Solutions (2014) — 128 citations
• An Optimized Symmetric 8-Step Semi-Embedded Predictor-Corrector Method for IVPs with Oscillating Solutions (2013) — 133 citations