Everything about TK Solver

🧭 Start here: a 6-step reading path

1. Read the overview: TK SolverA 5-minute orientation
2. Skim a recent paper: DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic ModelsInfluential work since 2022
3. Pick up a classic book: TK!Solver for engineersThe most-reprinted book on the subject
4. Read the landmark paper: LINCS: A linear constraint solver for molecular simulationsCited 14,355 times
5. Go sideways: MathcadA closely related topic
6. Go sideways: Mathematical softwareA closely related topic

🏆 Landmark papers (most cited)

• LINCS: A linear constraint solver for molecular simulations

  Berk Hess, Henk Bekker, Herman J. C. Berendsen · 1997 · Journal of Computational Chemistry · 14,355 citations

• A variational eigenvalue solver on a photonic quantum processor

  Alberto Peruzzo, Jarrod McClean, Peter Shadbolt · 2014 · Nature Communications · 4,309 citations

• P-LINCS: A Parallel Linear Constraint Solver for Molecular Simulation

  Berk Hess · 2007 · Journal of Chemical Theory and Computation · 3,970 citations

• ShengBTE: A solver of the Boltzmann transport equation for phonons

  Wu Li, Jesús Carrete, Nebil A. Katcho · 2014 · Computer Physics Communications · 3,135 citations

• The Contract Net Protocol: High-Level Communication and Control in a Distributed Problem Solver

  Smith · 1980 · IEEE Transactions on Computers · 2,493 citations

• Restoration of the contact surface in the HLL-Riemann solver

  E. F. Toro, M. Spruce, W. Speares · 1994 · Shock Waves · 2,333 citations

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling

  Patrick R. Amestoy, Iain S. Duff, Jean-Yves L'Excellent · 2001 · SIAM Journal on Matrix Analysis and Applications · 1,970 citations

• An accurate adaptive solver for surface-tension-driven interfacial flows

  Stéphane Popinet · 2009 · Journal of Computational Physics · 1,531 citations

🆕 Influential since 2022

• DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models

  Cheng Lu, Yuhao Zhou, Fan Bao · 2025 · Machine Intelligence Research · 236 citations

• A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method

  Shahed Rezaei, Ali Harandi, Ahmad Moeineddin · 2022 · Computer Methods in Applied Mechanics and Engineering · 216 citations

• Variational Quantum Linear Solver

  Carlos Bravo-Prieto, Ryan LaRose, M. Cerezo · 2023 · Quantum · 206 citations

• NekRS, a GPU-accelerated spectral element Navier–Stokes solver

  Paul Fischer, Stefan Kerkemeier, Misun Min · 2022 · Parallel Computing · 183 citations

• A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver

  Zeyad Khalil, Ahmed Y. Elghazouli, Emilio Martínez-Pañeda · 2022 · Computer Methods in Applied Mechanics and Engineering · 174 citations

📚 Books worth reading

• TK!Solver for engineersVictor E. Wright · 1984
• The TK!Solver bookMilos Konopasek · 1984
• 📕The illustrated TK!SOLVER bookThomas H. Berliner · 1985
• 📕TK!Solver the easy wayRobert Labenski · 1985
• TK! Solver user's handbook · 1984
• 📕The Tk! Solver BookMilos Konopasek, Sundaresan Jayaraman · 1984

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

🔗 Related topics

• Mathcad Mathcad is computer software for the verification, validation, documentation and re-use of mathematical calculations in engineering and science, notably…
• Mathematical software Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data. Mathematical knowledge of techniques such as…
• List of optimization software Given a transformation between input and output values, described by a mathematical function, optimization deals with generating and selecting the best…
• List of numerical-analysis software Listed here are notable end-user computer applications intended for use with numerical or data analysis: Analytica is a widely used proprietary software…
• Mathomatic Mathomatic is a free, portable, general-purpose computer algebra system (CAS) that can symbolically solve, simplify, combine and compare algebraic equations…
• Spreadsheet A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. Spreadsheets were developed as computerized…
• Engineering Equation Solver Engineering Equation Solver (EES) is a commercial software package used for solution of systems of simultaneous non-linear equations. It provides many…
• Sharp EL-5120 The Sharp EL-5120 is a scientific programmable calculator. It has about 1 KB of total RAM available to the user, and has 4 basic operational modes: Real…