H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 49 Citations 21,159 146 World Ranking 600 National Ranking 10

Overview

What is she best known for?

The fields of study she is best known for:

  • Mathematical analysis
  • Numerical analysis
  • Partial differential equation

Mathematical analysis, Boundary value problem, Applied mathematics, Helmholtz equation and Inviscid flow are her primary areas of study. Numerical analysis, Partial differential equation, Euler equations, Finite difference method and Differential equation are among the areas of Mathematical analysis where the researcher is concentrating her efforts. The study incorporates disciplines such as Runge–Kutta methods and Pressure-correction method in addition to Euler equations.

Her work focuses on many connections between Runge–Kutta methods and other disciplines, such as Mesh generation, that overlap with her field of interest in Transonic and Finite volume method. The Boundary value problem study combines topics in areas such as Discretization, Wave propagation and Wave equation. Her biological study spans a wide range of topics, including Steady state, Finite difference, Multigrid method and Compressible flow.

Her most cited work include:

  • Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes (3509 citations)
  • Radiation boundary conditions for wave‐like equations (851 citations)
  • Preconditioned methods for solving the incompressible low speed compressible equations (685 citations)

What are the main themes of her work throughout her whole career to date?

Eli Turkel focuses on Mathematical analysis, Boundary value problem, Applied mathematics, Helmholtz equation and Mechanics. Her work is connected to Finite difference method, Partial differential equation, Euler equations, Finite difference and Runge–Kutta methods, as a part of Mathematical analysis. Her Boundary value problem research is multidisciplinary, relying on both Wave equation and Differential equation.

Eli Turkel has researched Applied mathematics in several fields, including Flow, Airfoil, Steady state, Multigrid method and Mathematical optimization. Her Multigrid method research also works with subjects such as

  • Inviscid flow which is related to area like Computational fluid dynamics,
  • Discretization that intertwine with fields like Finite volume method. As a part of the same scientific study, Eli Turkel usually deals with the Helmholtz equation, concentrating on Finite element method and frequently concerns with Noise.

She most often published in these fields:

  • Mathematical analysis (51.43%)
  • Boundary value problem (28.10%)
  • Applied mathematics (20.00%)

What were the highlights of her more recent work (between 2010-2021)?

  • Mathematical analysis (51.43%)
  • Helmholtz equation (16.67%)
  • Boundary value problem (28.10%)

In recent papers she was focusing on the following fields of study:

Her primary areas of study are Mathematical analysis, Helmholtz equation, Boundary value problem, Algorithm and Inverse problem. Her Mathematical analysis research is multidisciplinary, incorporating perspectives in Rate of convergence, Solver and Computer simulation. Many of her research projects under Helmholtz equation are closely connected to High order with High order, tying the diverse disciplines of science together.

She interconnects Compact finite difference, Partial differential equation, Curvilinear coordinates, Numerical analysis and Series in the investigation of issues within Boundary value problem. Her Compact finite difference study incorporates themes from Grid and Differential equation. Her study on Inverse problem also encompasses disciplines like

  • Finite element method, which have a strong connection to Discretization,
  • Noise, which have a strong connection to Scalar field and Numerical tests.

Between 2010 and 2021, her most popular works were:

  • Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number (102 citations)
  • Algorithmic handwriting analysis of Judah’s military correspondence sheds light on composition of biblical texts (42 citations)
  • Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes (39 citations)

In her most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Numerical analysis
  • Partial differential equation

Eli Turkel mainly investigates Mathematical analysis, Helmholtz equation, Boundary value problem, Variable and Rate of convergence. Her Mathematical analysis study combines topics in areas such as Computer simulation and Noise. Dispersion and Finite difference method is closely connected to Order in her research, which is encompassed under the umbrella topic of Helmholtz equation.

Her research integrates issues of Compact finite difference and Series in her study of Boundary value problem. Her Compact finite difference study combines topics from a wide range of disciplines, such as Partial differential equation and Differential equation. As part of the same scientific family, she usually focuses on Rate of convergence, concentrating on Wave equation and intersecting with Upper and lower bounds, Applied mathematics, Conjugate gradient method and Wave speed.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes

A. Jameson;Wolfgang Schmidt;Eli Turkel.
14th Fluid and Plasma Dynamics Conference (1981)

5261 Citations

Radiation boundary conditions for wave‐like equations

Alvin Bayliss;Eli Turkel.
Communications on Pure and Applied Mathematics (1980)

1269 Citations

Preconditioned methods for solving the incompressible low speed compressible equations

Eli Turkel.
Journal of Computational Physics (1987)

1052 Citations

Boundary conditions for the numerical solution of elliptic equations in exterior regions

Alvin Bayliss;Max Gunzburger;Eli Turkel.
Siam Journal on Applied Mathematics (1982)

781 Citations

On Central-Difference and Upwind Schemes

R.C Swanson;Eli Turkel.
Journal of Computational Physics (1992)

592 Citations

PRECONDITIONING TECHNIQUES IN COMPUTATIONAL FLUID DYNAMICS

E. Turkel.
Annual Review of Fluid Mechanics (1999)

479 Citations

Absorbing PML boundary layers for wave-like equations

E. Turkel;A. Yefet.
Applied Numerical Mathematics (1998)

405 Citations

Implicit schemes and LU decompositions

A. Jameson;E. Turkel.
Mathematics of Computation (1981)

377 Citations

Review of preconditioning methods for fluid dynamics

Eli Turkel.
Applied Numerical Mathematics (1993)

357 Citations

Dissipative two-four methods for time-dependent problems

David Gottlieb;Eli Turkel.
Mathematics of Computation (1976)

352 Citations

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