Bernard Bialecki

1.2k total citations
77 papers, 933 citations indexed

About

Bernard Bialecki is a scholar working on Computational Mechanics, Numerical Analysis and Mechanics of Materials. According to data from OpenAlex, Bernard Bialecki has authored 77 papers receiving a total of 933 indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Computational Mechanics, 45 papers in Numerical Analysis and 33 papers in Mechanics of Materials. Recurrent topics in Bernard Bialecki's work include Advanced Numerical Methods in Computational Mathematics (42 papers), Differential Equations and Numerical Methods (33 papers) and Numerical methods in engineering (33 papers). Bernard Bialecki is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (42 papers), Differential Equations and Numerical Methods (33 papers) and Numerical methods in engineering (33 papers). Bernard Bialecki collaborates with scholars based in United States, Cyprus and Spain. Bernard Bialecki's co-authors include Graeme Fairweather, Andréas Karageorghis, Ryan I. Fernandes, Xiao‐Chuan Cai, Maksymilian Dryja, Frank Stenger, Yi Yan, P. Keast, J.C. López-Marcos and Karin Remington and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Molecular Physics.

In The Last Decade

Bernard Bialecki

76 papers receiving 836 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bernard Bialecki United States 17 513 497 411 242 168 77 933
Scott A. Sarra United States 13 191 0.4× 388 0.8× 636 1.5× 218 0.9× 63 0.4× 26 917
Norbert Heuer Chile 18 367 0.7× 763 1.5× 766 1.9× 323 1.3× 304 1.8× 88 1.3k
Hehu Xie China 20 308 0.6× 677 1.4× 439 1.1× 124 0.5× 273 1.6× 71 955
Kenneth L. Bowers United States 13 362 0.7× 145 0.3× 163 0.4× 238 1.0× 154 0.9× 25 685
Danping Yang China 18 482 0.9× 617 1.2× 394 1.0× 297 1.2× 249 1.5× 88 1.0k
Houde Han China 23 529 1.0× 580 1.2× 603 1.5× 180 0.7× 257 1.5× 78 1.3k
Davoud Mirzaei Iran 21 481 0.9× 655 1.3× 1.1k 2.6× 410 1.7× 89 0.5× 35 1.6k
C. Palencia Spain 20 522 1.0× 299 0.6× 86 0.2× 186 0.8× 255 1.5× 37 867
Hsin‐Yun Hu Taiwan 16 137 0.3× 434 0.9× 774 1.9× 112 0.5× 65 0.4× 27 905
Xiaochuan Tian United States 18 190 0.4× 318 0.6× 668 1.6× 192 0.8× 125 0.7× 39 905

Countries citing papers authored by Bernard Bialecki

Since Specialization
Citations

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

Fields of papers citing papers by Bernard Bialecki

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernard Bialecki. 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 Bernard Bialecki. The network helps show where Bernard Bialecki may publish in the future.

Co-authorship network of co-authors of Bernard Bialecki

This figure shows the co-authorship network connecting the top 25 collaborators of Bernard Bialecki. A scholar is included among the top collaborators of Bernard Bialecki 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 Bernard Bialecki. Bernard Bialecki 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.
Bialecki, Bernard, M. Dryja, & Ryan I. Fernandes. (2018). Convergence Analysis of the Finite Difference ADI Scheme for Variable Coefficient Parabolic Problems with Nonzero Dirichlet Boundary Conditions. Computational Mathematics and Mathematical Physics. 58(12). 2086–2108. 1 indexed citations
2.
Bialecki, Bernard, et al.. (2018). Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable. The Journal of Difference Equations and Applications. 24(10). 1621–1642. 2 indexed citations
3.
Bialecki, Bernard & Ryan I. Fernandes. (2016). Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions. Numerical Algorithms. 74(4). 1083–1100. 5 indexed citations
4.
Bialecki, Bernard, et al.. (2016). Advanced Trajectory Computational Model Improves Calculated Borehole Positioning, Tortuosity and Rugosity. IADC/SPE Drilling Conference and Exhibition. 14 indexed citations
5.
Fernandes, Ryan I., Bernard Bialecki, & Graeme Fairweather. (2015). An ADI extrapolated Crank–Nicolson orthogonal spline collocation method for nonlinear reaction–diffusion systems on evolving domains. Journal of Computational Physics. 299. 561–580. 13 indexed citations
6.
Bialecki, Bernard, Graeme Fairweather, & J.C. López-Marcos. (2014). The Extrapolated Crank–Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions. Journal of Scientific Computing. 62(1). 265–283. 4 indexed citations
7.
Bialecki, Bernard & Ryan I. Fernandes. (2013). Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions. Advances in Applied Mathematics and Mechanics. 5(4). 461–476. 2 indexed citations
8.
Bialecki, Bernard & Ryan I. Fernandes. (2013). Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions. Advances in Applied Mathematics and Mechanics. 5(4). 461–476. 2 indexed citations
9.
Bialecki, Bernard & M. Dryja. (2008). Nonoverlapping domain decomposition with cross points for orthogonal spline collocation. Journal of Numerical Mathematics. 16(2). 1 indexed citations
10.
Bialecki, Bernard & Andréas Karageorghis. (2007). A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. Journal of Scientific Computing. 32(2). 373–409. 5 indexed citations
11.
Bialecki, Bernard & Graeme Fairweather. (2001). Orthogonal spline collocation methods for partial differential equations. Journal of Computational and Applied Mathematics. 128(1-2). 55–82. 108 indexed citations
12.
Bialecki, Bernard & Andréas Karageorghis. (2000). A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem. ESAIM Mathematical Modelling and Numerical Analysis. 34(3). 637–662. 11 indexed citations
13.
Bialecki, Bernard & P. Keast. (1999). A sinc quadrature subroutine for Cauchy principal value integrals. Journal of Computational and Applied Mathematics. 112(1-2). 3–20. 10 indexed citations
14.
Fairweather, Graeme, et al.. (1998). Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables. SIAM Journal on Numerical Analysis. 35(2). 453–477. 37 indexed citations
15.
Bialecki, Bernard. (1994). Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation. Numerical Algorithms. 8(2). 167–184. 5 indexed citations
16.
Bialecki, Bernard & Xiao‐Chuan Cai. (1994). $H^1 $-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems. SIAM Journal on Numerical Analysis. 31(4). 1128–1146. 20 indexed citations
17.
Bialecki, Bernard & Graeme Fairweather. (1993). Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions. Journal of Computational and Applied Mathematics. 46(3). 369–386. 26 indexed citations
18.
Bialecki, Bernard, et al.. (1992). Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations. SIAM Journal on Numerical Analysis. 29(1). 156–173. 55 indexed citations
19.
Bialecki, Bernard. (1990). A sinc-Hunter quadrature rule for Cauchy principal value integrals. Mathematics of Computation. 55(192). 665–681. 4 indexed citations
20.
Bialecki, Bernard. (1989). Sinc-type approximations in H1-norm with applications to boundary value problems. Journal of Computational and Applied Mathematics. 25(3). 289–303. 1 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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