Everything about Compatible Discrete 4

🧭 Start here: a 6-step reading path

1. Read the overview: Compatible Discrete 4A 5-minute orientation
2. Skim a recent paper: NISQ-compatible approximate quantum algorithm for unconstrained and constrained discrete optimizationInfluential work since 2022
3. Pick up a classic book: American FilmThe most-reprinted book on the subject
4. Read the landmark paper: Incentive compatible allocation and exchange of discrete resourcesCited 125 times
5. Go sideways: UD-4A closely related topic
6. Go sideways: Quadraphonic soundA closely related topic

🏆 Landmark papers (most cited)

• Incentive compatible allocation and exchange of discrete resources

  Marek Pycia, M. Utku Ünver · 2017 · Theoretical Economics · 125 citations

• Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes

  Jérôme Bonelle, Alexandre Ern · 2014 · ESAIM: Mathematical Modelling and Numerical Analysis · 82 citations

• The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics

  A.L. Bauer, D.E. Burton, E.J. Caramana · 2006 · Journal of Computational Physics · 40 citations

• Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes

  Jérôme Bonelle, Alexandre Ern · 2014 · IMA Journal of Numerical Analysis · 36 citations

• Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes

  Jérôme Bonelle, Daniele A. Di Pietro, Alexandre Ern · 2015 · Computer Aided Geometric Design · 35 citations

• Robust linear equation dwell time model compatible with large scale discrete surface error matrix

  Zhichao Dong, Haobo Cheng, Hon-Yuen Tam · 2015 · Applied Optics · 28 citations

• The force/work differencing of exceptional points in the discrete, compatible formulation of Lagrangian hydrodynamics

  R. Loubère, E.J. Caramana · 2006 · Journal of Computational Physics · 16 citations

• Discrete Helmholtz–Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators

  A. Lemoine, J.-P. Caltagirone, M. Azaïez · 2014 · Journal of Scientific Computing · 11 citations

🆕 Influential since 2022

• NISQ-compatible approximate quantum algorithm for unconstrained and constrained discrete optimization

  M. R. Perelshtein, A. I. Pakhomchik, Ar. A. Melnikov · 2023 · Quantum · 10 citations

• Compatible coupling of discrete elements and finite elements using Delaunay–Voronoi dual tessellations

  Young Kwang Hwang, John E. Bolander, Yun Mook Lim · 2022 · Computational Particle Mechanics · 7 citations

• Anomaly detection in aeronautics data with quantum-compatible discrete deep generative model

  Thomas Templin, Milad Memarzadeh, Walter Vinci · 2023 · Machine Learning: Science and Technology · 4 citations

• Compatible Conservation Laws and Discrete Counterparts for the Time-Fractional Nonlinear Schrödinger Equation

  Pin Lyu, Hong-lin Liao, Seakweng Vong · 2025 · Journal of Scientific Computing · 2 citations

• Compact cell-based Compatible Discrete Operator diffusion scheme on Cartesian AMR mesh

  A. Vergnaud, A. Lemoine, J. Breil · 2025 · Journal of Computational Physics · 1 citations

📚 Books worth reading

• American FilmAmerican Film Institute · 1975
• Hayes and Williams' family lawStephen Gilmore · 2012
• Treaty Occupationay ToxicologySuelen Queiroz · 2010
• Discrete Time Series, Processes, and Applications in FinanceGilles Zumbach · 2012
• Principles of gene manipulation and genomicsS. B. Primrose · 2006
• The Catholic Doctrine Of The Sacrifice And Participation Of The Holy EucharistTrevor, George, 1809-1888 · 1869
• AI 2012: Advances in Artificial IntelligenceMichael Thielscher · 2012
• Discrete mathematical structures with applications to computer scienceJean-Paul Tremblay · 1975

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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