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Implicit finite-difference schemes, based on the Rosenbrock method, for nonlinear Schrödinger equation with artificial boundary conditions

Vyacheslav A. Trofimov, Evgeny M. Trykin

PLoS One. 2018; 13(10): e0206235. Published online 2018 Oct 31. doi: 10.1371/journal.pone.0206235

PMCID:: PMC6209290

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Well-balanced methods for computational astrophysics

Roger Käppeli

Living Rev Comput Astrophys. 2022; 8(1): 2. Published online 2022 Oct 19. doi: 10.1007/s41115-022-00014-6

PMCID:: PMC9581881

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From here to infinity: sparse finite versus Dirichlet process mixtures in model-based clustering

Sylvia Frühwirth-Schnatter, Gertraud Malsiner-Walli

Adv Data Anal Classif. 2019; 13(1): 33–64. Published online 2018 Aug 24. doi: 10.1007/s11634-018-0329-y

PMCID:: PMC6448299

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Model Properties and Clinical Application in the Finite Element Analysis of Knee Joint: A Review

Mingyue Yan, Ting Liang, Haibo Zhao, Yanchi Bi, Tianrui Wang, Tengbo Yu, Yingze Zhang

Orthop Surg. 2024 Feb; 16(2): 289–302. Published online 2024 Jan 4. doi: 10.1111/os.13980

PMCID:: PMC10834231

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Optimization Modeling of Irreversible Carnot Engine from the Perspective of Combining Finite Speed and Finite Time Analysis

Monica Costea, Stoian Petrescu, Michel Feidt, Catalina Dobre, Bogdan Borcila

Entropy (Basel) 2021 May; 23(5): 504. Published online 2021 Apr 22. doi: 10.3390/e23050504

PMCID:: PMC8146341

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Porosity of the porous carbonate rocks in the Jingfengqiao–Baidiao area based on finite automata

Honghai Kuang, Xi Ye, Zhiyi Qing

R Soc Open Sci. 2022 Jan; 9(1): 211844. Published online January 12, 2022. doi: 10.1098/rsos.211844

PMCID:: PMC8753174

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Prediction of Cable Behavior Using Finite Element Analysis Results for Flexible Cables

Hyeonjin Kim, Jinhyun Kim

Sensors (Basel) 2023 Jun; 23(12): 5707. Published online 2023 Jun 19. doi: 10.3390/s23125707

PMCID:: PMC10304404

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Establishment and validation of a T12-L2 3D finite element model for thoracolumbar segments

Hui Lu, Qichuan Zhang, Fan Ding, Qimei Wu, Rong Liu

Am J Transl Res. 2022; 14(3): 1606–1615. Published online 2022 Mar 15.

PMCID:: PMC8991124

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A dual mesh finite domain method for the analysis of functionally graded beams

J.N. Reddy, Praneeth Nampally

Compos Struct. 2020 Nov 1; 251: 112648. Published online 2020 Jun 27. doi: 10.1016/j.compstruct.2020.112648

PMCID:: PMC7320719

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A Refutation of Finite-State Language Models through Zipf’s Law for Factual Knowledge

Łukasz Dębowski

Entropy (Basel) 2021 Sep; 23(9): 1148. Published online 2021 Sep 1. doi: 10.3390/e23091148

PMCID:: PMC8465033

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A Nodal Immersed Finite Element-Finite Difference Method

David Wells, Ben Vadala-Roth, Jae H. Lee, Boyce E. Griffith

J Comput Phys. Author manuscript; available in PMC 2024 Mar 15.

Published in final edited form as: J Comput Phys. 2023 Mar 15; 477: 111890. Published online 2023 Jan 13. doi: 10.1016/j.jcp.2022.111890

PMCID:: PMC10062120

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Variational Solutions for Resonances by a Finite-Difference Grid Method

Roie Dann, Guy Elbaz, Jonathan Berkheim, Alan Muhafra, Omri Nitecki, Daniel Wilczynski, Nimrod Moiseyev

Molecules. 2021 Sep; 26(17): 5248. Published online 2021 Aug 30. doi: 10.3390/molecules26175248

PMCID:: PMC8434025

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Development of a fourth-order compact finite difference scheme for simulation of simulated-moving-bed process

Chuanyi Yao, Yanjuan Zhang, Jinliang Chen, Xueping Ling, Keju Jing, Yinghua Lu, Enguo Fan

Sci Rep. 2020; 10: 7820. Published online 2020 May 8. doi: 10.1038/s41598-020-64562-8

PMCID:: PMC7210932

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Comparison of distributed memory algorithms for X-ray wave propagation in inhomogeneous media

Sajid Ali, Ming Du, Mark F. Adams, Barry Smith, Chris Jacobsen

Opt Express. 2020 Sep 28; 28(20): 29590–29618. Published online 2020 Sep 21. doi: 10.1364/OE.400240

PMCID:: PMC7679186

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Equilibrium mechanisms of self-limiting assembly

Michael F. Hagan, Gregory M. Grason

Rev Mod Phys. Author manuscript; available in PMC 2022 Jun 11.

Published in final edited form as: Rev Mod Phys. 2021 Apr-Jun; 93(2): 025008. Published online 2021 Jun 11. doi: 10.1103/revmodphys.93.025008

PMCID:: PMC8880259

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Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces

Michał Lipiński, Jacek Kubica, Marian Mrozek, Thomas Wanner

J Appl Comput Topol. 2023; 7(2): 139–184. Published online 2022 Oct 5. doi: 10.1007/s41468-022-00102-9

PMCID:: PMC10181983

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Test and Finite Element Analysis of a New Type of Double-Limb Double-Plate Connection Joint in Narrow Base Tower

Hong Yan, Xianze Nie, Lei Zhang, Feng Yang, Mojia Huang, Tengfei Zhao

Materials (Basel) 2021 Oct; 14(20): 5936. Published online 2021 Oct 10. doi: 10.3390/ma14205936

PMCID:: PMC8541046

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Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size

Tilo Schwalger, Moritz Deger, Wulfram Gerstner

PLoS Comput Biol. 2017 Apr; 13(4): e1005507. Published online 2017 Apr 19. doi: 10.1371/journal.pcbi.1005507

PMCID:: PMC5415267

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Constitutive Equations for Analyzing Stress Relaxation and Creep of Viscoelastic Materials Based on Standard Linear Solid Model Derived with Finite Loading Rate

Che-Yu Lin, Yi-Cheng Chen, Chen-Hsin Lin, Ke-Vin Chang

Polymers (Basel) 2022 May; 14(10): 2124. Published online 2022 May 23. doi: 10.3390/polym14102124

PMCID:: PMC9143375

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Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods

Dinshaw S. Balsara

Living Rev Comput Astrophys. 2017; 3(1): 2. Published online 2017 Dec 11. doi: 10.1007/s41115-017-0002-8

PMCID:: PMC6319558

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PMC Images search for method of finite difference

Figure 4

Point mapping and finite difference schemes for the iFEM-PE method.

Structural Damage Identification Based on Integrated Utilization of Inverse Finite Element Method and Pseudo-Excitation Approach

Sensors (Basel). 2021 Jan;21(2):606.
Figure 2

Principle of 3D ghost imaging (GI) based on non-uniform time-slice method (NUTSM) combined with finite difference.

Combining Non-Uniform Time Slice and Finite Difference to Improve 3D Ghost Imaging

Sensors (Basel). 2019 Jan;19(2):418.
Figure 12Run time of each finite difference method and the pseudo-spectral method for the Marmousi experiment.

The red dots represent the run times for SFD of varying order. The green, blue and black crosses represent 12^th-order Zhang’s OFD, 12^th-order AFD and the pseudo-spectral method, respectively, where each is plotted at the corresponding order of SFD with equivalent run time.

Adaptive finite difference for seismic wavefield modelling in acoustic media

Sci Rep. 2016;6:30302.
Figure 1

A 1D three-point finite difference stencil.

Numerical study of water diffusion in biological tissues using an improved finite difference method

Phys Med Biol. ;52(7):N111-N126.