D. A. Knoll

5.5k citations
138 papers · 4.2k indexed · 1 hit paper · h-index 33

Impact in

    • Numerical methods for differential equations
    • Advanced Numerical Methods in Computational Mathematics
    • Computational Fluid Dynamics and Aerodynamics

Papers in

D. A. Knoll

136 papers receiving 3.9k citations

Hit Papers

Jacobian-free Newton–Krylov methods: a survey of approaches and applications 2003 · 1.4k citations
1.4k20032026201020184008001.2k

Peers

D. A. Knoll
Comparison fields: 5 of 95
  • Numerical Analysis 1.1k
  • Computational Mechanics 2.0k
  • Nuclear and High Energy Physics 972
  • Computational Theory and Mathematics 665
  • Applied Mathematics 406
Replace K. W. Morton with:
K. W. Morton United Kingdom
Luis Chacòn United States
G. C. Pomraning United States
Sigal Gottlieb United States
David E. Keyes Saudi Arabia
Joseph Oliger United States
Heinz‐Otto Kreiss United States
Mark H. Carpenter United States
T. A. Zang United States
Mikhail Shashkov United States
D. A. Knoll relative to K. W. Morton United Kingdom K. W. Morton's profile →
Citations per field
00.5×4.7×
K. W. Morton · 1×
Citations per year

Countries citing papers authored by D. A. Knoll

Since Specialization
Citations

This map shows the geographic impact of D. A. Knoll'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 D. A. Knoll with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. A. Knoll more than expected).

Fields of papers citing papers by D. A. Knoll

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. A. Knoll. 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 D. A. Knoll. The network helps show where D. A. Knoll may publish in the future.

Co-authorship network

The 25 scholars most cited alongside D. A. Knoll, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with D. A. Knoll Line = papers co-authored together D. A. Knoll links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20141
2 20141
3
A New Theory of Mix in Omega Capsule Implosions
20141
4
Design and development of a multi-architecture, fully implicit, charge and energy conserving particle-in-cell framework
20131
5
An energy- and charge-conserving, nonlinearly implicit, electromagnetic particle-in-cell algorithm
20131
6
Current sheet break-up via fast plasmoid formation in the island coalescence problem the ultra-high Lundquist number regime ( S ∼10^9 )
20101
7
Jacobian-Free Newton-Krylov Methods and Physics-based Preconditioning for Problems in Computational Geophysics (Invited)
20091
8
ANALYSIS AND NUMERICAL SOLUTION FOR MULTI-PHYSICS COUPLING OF NEUTRON DIFFUSION AND THERMOMECHANICS IN SPHERICAL FAST BURST REACTORS
20091
9
The Need for All-Speed Flow Models for Density Driven Flows in Reactor Safety Simulation
20082
10
CFD Sensitivity Analysis of a Fast Reactor Assembly
20081
11
Jacobian Free-Newton Krylov Discontinuous Galerkin Method and Physics-Based Preconditioning for Nuclear Reactor Simulations
20083
12
Jacobian-Free Newton-Krylov Discontinuous Galerkin (JFNK-DG) Method and Its Physics-Based Preconditioning for All-Speed Flows
20072
13
Direct Numerical Simulation of Boiling Multiphase Flows: State-of-the-Art, Modeling, Algorithmic and Computer Needs
20073
14 200630
15
The Kelvin-Helmholtz Instability, Differential Rotation,and 3-D, Localized, Magnetic Reconnection
20011
16 199919
17 199631
18 19963
19 199634
20 19946

About D. A. Knoll

D. A. Knoll is a scholar working on Numerical Analysis, Computational Mechanics, Nuclear and High Energy Physics, Computational Theory and Mathematics and Aerospace Engineering, having authored 138 papers that have together received 4.2k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (43 papers), Numerical methods for differential equations (40 papers), Computational Fluid Dynamics and Aerodynamics (37 papers), Magnetic confinement fusion research (35 papers), Nuclear reactor physics and engineering (26 papers), Matrix Theory and Algorithms (26 papers), Ionosphere and magnetosphere dynamics (15 papers) and Fusion materials and technologies (12 papers). The work is most often cited by research in Numerical Analysis (1.1k citations), Computational Mechanics (2.0k citations), Nuclear and High Energy Physics (972 citations), Computational Theory and Mathematics (665 citations) and Applied Mathematics (406 citations). D. A. Knoll has collaborated with scholars based in United States, Russia and United Kingdom. Frequent co-authors include David E. Keyes, Luis Chacòn, Vincent A. Mousseau, William J. Rider, HyeongKae Park, Paul R. McHugh, S. I. Krasheninnikov, D. J. Sigmar, Jon Reisner and Christopher K. Newman. Their work appears in journals such as Journal of Computational Physics, Physics of Plasmas, SIAM Journal on Scientific Computing, Journal of Nuclear Materials and Nuclear Science and Engineering.

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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