R. F. Warming

8.4k total citations · 3 hit papers
50 papers, 6.3k citations indexed

About

R. F. Warming is a scholar working on Computational Mechanics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, R. F. Warming has authored 50 papers receiving a total of 6.3k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Computational Mechanics, 15 papers in Applied Mathematics and 13 papers in Numerical Analysis. Recurrent topics in R. F. Warming's work include Computational Fluid Dynamics and Aerodynamics (26 papers), Fluid Dynamics and Turbulent Flows (17 papers) and Gas Dynamics and Kinetic Theory (13 papers). R. F. Warming is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (26 papers), Fluid Dynamics and Turbulent Flows (17 papers) and Gas Dynamics and Kinetic Theory (13 papers). R. F. Warming collaborates with scholars based in United States, Israel and South Korea. R. F. Warming's co-authors include Richard M. Beam, J. L. Steger, H. C. Yee, Max A Heaslet, A. Harten, Paul Kutler, Harvard Lomax, Robert MacCormack, Do‐Hyung Lee and Ami Harten and has published in prestigious journals such as The Astrophysical Journal, Journal of Computational Physics and International Journal of Heat and Mass Transfer.

In The Last Decade

R. F. Warming

48 papers receiving 5.6k citations

Hit Papers

An Implicit Factored Scheme for the Compressible Navier-S... 1976 2026 1992 2009 1978 1981 1976 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
    1978 1.6k citations Richard M. Beam, R. F. Warming AIAA Journal profile →
  2. Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
    1981 1.5k citations R. F. Warming et al. Journal of Computational Physics profile →
  3. An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
    1976 848 citations Richard M. Beam, R. F. Warming Journal of Computational Physics profile →

Peers

R. F. Warming
J. L. Steger United States
Guang-Shan Jiang United States
A. Jameson United States
Marsha Berger United States
Sukumar Chakravarthy United States
Richard M. Beam United States
Burton Wendroff United States
Timothy J. Barth United States
Robert MacCormack United States
Dimitri J. Mavriplis United States
J. L. Steger United States
R. F. Warming
Citations per year, relative to R. F. Warming R. F. Warming (= 1×) peers J. L. Steger

Countries citing papers authored by R. F. Warming

Since Specialization
Citations

This map shows the geographic impact of R. F. Warming's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by R. F. Warming with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. F. Warming more than expected).

Fields of papers citing papers by R. F. Warming

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. F. Warming. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by R. F. Warming. The network helps show where R. F. Warming may publish in the future.

Co-authorship network of co-authors of R. F. Warming

This figure shows the co-authorship network connecting the top 25 collaborators of R. F. Warming. A scholar is included among the top collaborators of R. F. Warming based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with R. F. Warming. R. F. Warming is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lee, Do‐Hyung, Richard M. Beam, & R. F. Warming. (2001). Supercompact multiwavelets for flow field simulation. Computers & Fluids. 30(7-8). 783–805. 8 indexed citations
2.
Yee, H. C., R. F. Warming, & A. Harten. (1985). Application of TVD schemes for the Euler equations of gas dynamics. [total variation diminishing for nonlinear hyperbolic systems]. NASA Technical Reports Server (NASA). 1 indexed citations
3.
Yee, H. C., R. F. Warming, & A. Harten. (1985). Implicit total variation diminishing (TVD) schemes for steady-state calculations. Journal of Computational Physics. 57(3). 327–360. 295 indexed citations
4.
Beam, Richard M., R. F. Warming, & H. C. Yee. (1982). Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations. Journal of Computational Physics. 48(2). 200–222. 22 indexed citations
5.
6.
Beam, Richard M., R. F. Warming, & H. C. Yee. (1981). Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations. Insecta mundi. 1 indexed citations
7.
8.
Warming, R. F. & Richard M. Beam. (1979). Factored, a-stable, linear multistep methods. ACM SIGNUM Newsletter. 14(3). 17–19. 3 indexed citations
9.
Beam, Richard M. & R. F. Warming. (1978). An Implicit Factored Scheme for the Compressible Navier-Stokes Equations. AIAA Journal. 16(4). 393–402. 1618 indexed citations breakdown →
10.
Warming, R. F. & Richard M. Beam. (1976). Upwind Second-Order Difference Schemes and Applications in Aerodynamic Flows. AIAA Journal. 14(9). 1241–1249. 308 indexed citations
11.
Beam, Richard M. & R. F. Warming. (1976). An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations. NASA Technical Reports Server (NASA). 3 indexed citations
12.
Warming, R. F., et al.. (1974). The modified equation approach to the stability and accuracy analysis of finite-difference methods. Journal of Computational Physics. 14(2). 159–179. 394 indexed citations
13.
Kutler, Paul, R. F. Warming, & Harvard Lomax. (1973). Computation of Space Shuttle Flowfields Using Noncentered Finite-Difference Schemes. AIAA Journal. 11(2). 196–204. 51 indexed citations
14.
Kutler, Paul, et al.. (1973). Multishocked, Three-Dimensional Supersonic Flowfields with Real Gas Effects. AIAA Journal. 11(5). 657–664. 65 indexed citations
15.
16.
Heaslet, Max A & R. F. Warming. (1968). Theoretical predictions of spectral line formation by noncoherent scattering. Journal of Quantitative Spectroscopy and Radiative Transfer. 8(4). 1101–1146. 25 indexed citations
17.
Heaslet, Max A & R. F. Warming. (1968). Radiative source-function predictions for finite and semi-infinite non-conservative atmospheres. Astrophysics and Space Science. 1(4). 460–498. 19 indexed citations
18.
Heaslet, Max A & R. F. Warming. (1967). Radiative transport in an absorbing planar medium II. Predictions of radiative source functions. International Journal of Heat and Mass Transfer. 10(10). 1413–1427. 18 indexed citations
19.
Heaslet, Max A & R. F. Warming. (1966). Radiation flux from a slab or sphere. Journal of Mathematical Analysis and Applications. 14(2). 359–369. 7 indexed citations
20.
Heaslet, Max A & R. F. Warming. (1966). Theoretical predictions of radiative transfer in a homogenous cylindrical medium. Journal of Quantitative Spectroscopy and Radiative Transfer. 6(6). 751–774. 40 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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