Trygve K. Karper

777 total citations
15 papers, 452 citations indexed

About

Trygve K. Karper is a scholar working on Computational Mechanics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Trygve K. Karper has authored 15 papers receiving a total of 452 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Computational Mechanics, 7 papers in Applied Mathematics and 5 papers in Computational Theory and Mathematics. Recurrent topics in Trygve K. Karper's work include Advanced Numerical Methods in Computational Mathematics (8 papers), Computational Fluid Dynamics and Aerodynamics (7 papers) and Navier-Stokes equation solutions (6 papers). Trygve K. Karper is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (8 papers), Computational Fluid Dynamics and Aerodynamics (7 papers) and Navier-Stokes equation solutions (6 papers). Trygve K. Karper collaborates with scholars based in Norway, United States and Czechia. Trygve K. Karper's co-authors include Konstantina Trivisa, Antoine Mellet, José A. Carrillo, Ragnar Winther, Helge Kristian Jenssen, Kent‐André Mardal, Kenneth H. Karlsen, Young-Pil Choi, Eduard Feireisl and Antonín Novotný and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Numerische Mathematik.

In The Last Decade

Trygve K. Karper

15 papers receiving 418 citations

Peers

Trygve K. Karper

CTM

Ayman Moussa France

Toan T. Nguyen United States

Corrado Lattanzio Italy

Bruno Rubino Italy

Andrea Corli Italy

Jürgen Saal Germany

Maŕıa López-Fernández Spain

D. Fusco Italy

Francesco Solombrino Italy

Ayman Moussa France

Trygve K. Karper

241 ×0.9

359 ×1.4

76 ×0.7

55 ×0.8

CTM

65 ×1.1

Citations per year, relative to Trygve K. Karper Trygve K. Karper (= 1×) peers Ayman Moussa

Countries citing papers authored by Trygve K. Karper

Since Specialization

Citations

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

Fields of papers citing papers by Trygve K. Karper

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Trygve K. Karper. 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 Trygve K. Karper. The network helps show where Trygve K. Karper may publish in the future.

Co-authorship network of co-authors of Trygve K. Karper

This figure shows the co-authorship network connecting the top 25 collaborators of Trygve K. Karper. A scholar is included among the top collaborators of Trygve K. Karper 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 Trygve K. Karper. Trygve K. Karper is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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15 of 15 papers shown

Feireisl, Eduard, Trygve K. Karper, & Antonín Novotný. (2015). A convergent numerical method for the Navier–Stokes–Fourier system. IMA Journal of Numerical Analysis. 36(4). 1477–1535. 11 indexed citations

Feireisl, Eduard, et al.. (2015). Convergence of a numerical method for the compressible Navier–Stokes system on general domains. Numerische Mathematik. 134(4). 667–704. 9 indexed citations

Karper, Trygve K., Antoine Mellet, & Konstantina Trivisa. (2014). Hydrodynamic limit of the kinetic Cucker–Smale flocking model. Mathematical Models and Methods in Applied Sciences. 25(1). 131–163. 70 indexed citations

Carrillo, José A., Young-Pil Choi, & Trygve K. Karper. (2014). On the analysis of a coupled kinetic-fluid model with local alignment forces. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 33(2). 273–307. 42 indexed citations

Karper, Trygve K., et al.. (2014). A New Angular Momentum Method for Computing Wave Maps into Spheres. SIAM Journal on Numerical Analysis. 52(4). 2073–2091. 5 indexed citations

Holden, Helge, Kenneth H. Karlsen, & Trygve K. Karper. (2013). Operator Splitting for Well-Posed Active Scalar Equations. SIAM Journal on Mathematical Analysis. 45(1). 152–180. 2 indexed citations

Karper, Trygve K.. (2013). A convergent FEM-DG method for the compressible Navier–Stokes equations. Numerische Mathematik. 125(3). 441–510. 34 indexed citations

Karper, Trygve K., Antoine Mellet, & Konstantina Trivisa. (2013). Existence of Weak Solutions to Kinetic Flocking Models. SIAM Journal on Mathematical Analysis. 45(1). 215–243. 67 indexed citations

Holden, Helge, Kenneth H. Karlsen, & Trygve K. Karper. (2012). Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation. 82(282). 719–748. 5 indexed citations

10.

Karlsen, Kenneth H. & Trygve K. Karper. (2011). A convergent mixed method for the Stokes approximation of viscous compressible flow. IMA Journal of Numerical Analysis. 32(3). 725–764. 14 indexed citations

11.

Carrillo, José A., Trygve K. Karper, & Konstantina Trivisa. (2011). On the dynamics of a fluid–particle interaction model: The bubbling regime. Nonlinear Analysis. 74(8). 2778–2801. 39 indexed citations

12.

Karlsen, Kenneth H. & Trygve K. Karper. (2010). Convergence of a mixed method for a semi-stationary compressible Stokes system. Mathematics of Computation. 80(275). 1459–1498. 13 indexed citations

13.

Jenssen, Helge Kristian & Trygve K. Karper. (2010). One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients. SIAM Journal on Mathematical Analysis. 42(2). 904–930. 51 indexed citations

14.

Karlsen, Kenneth H. & Trygve K. Karper. (2010). A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow. SIAM Journal on Numerical Analysis. 48(5). 1846–1876. 13 indexed citations

15.

Karper, Trygve K., Kent‐André Mardal, & Ragnar Winther. (2008). Unified finite element discretizations of coupled Darcy–Stokes flow. Numerical Methods for Partial Differential Equations. 25(2). 311–326. 77 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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