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Chemistry and materials
molecular-dynamics
molecular dynamics
GROMACS
System
Techniques · 5
Primitives · 22
molecular-dynamics
Halo exchange
distributed · medium: Each rank stores its block plus a border copy of its neighbours' edge cells, refreshed by small messages every step; communication scales with block surface, not volume.
›
Checkpoint and restart
hardware-os · medium: Periodically save enough state to resume a computation after a crash, preemption or move, with an interval that balances save cost against lost work.
›
Constraint solvers shake lincs
physics · medium: Hold bond lengths fixed in MD: SHAKE iteration, LINCS matrix expansion, SETTLE for water
Particle mesh ewald
physics · medium: Split long-range forces: real-space short range plus FFT mesh solve (PME, PPPM, TreePM)
Thermostats barostats
physics · medium: Temperature and pressure control in MD: Langevin, Nose-Hoover, velocity rescale, Parrinello-Rahman
Verlet / leapfrog
numerics · low: Half-kick, drift, half-kick: a second-order, time-reversible, symplectic integrator with one force evaluation per step whose energy error stays bounded for millions of steps.
›
Fast Fourier transform
numerics · low: Computes the DFT in O(n log n) by recursively splitting into even and odd halves; the basis of fast convolution and spectral methods.
›
Neighbor lists
physics · low: Cell lists plus Verlet buffer lists for O(n) short-range pair interactions
Periodic boundary conditions
physics · low: Minimum image convention and wrapping for simulations in periodic boxes
SIMD programming
hardware-os · low: Process 4-16 lanes per instruction with AVX2, AVX-512 or NEON via Rust std::arch, with runtime dispatch and a portable fallback.
›
CUDA and GPU languages
languages · low: Programming GPUs: thousands of lockstep threads, bound by memory bandwidth; libraries first, Triton for fused kernels, CUDA C++ for peak speed.
›
Collective communication
ml-training · low: The family of group exchanges (broadcast, reduce, all-gather, reduce-scatter, all-to-all) and the latency-plus-bytes cost model that picks ring, tree or direct algorithms by message size and topology.
›
Floating-point error
numerics · low: How IEEE 754 rounding error accumulates and how to contain it: compensated (Kahan/Neumaier) and pairwise summation, error-free transformations with FMA, ULP comparisons.
›
Force field terms
physics · low: Bonded and nonbonded MD potentials: bonds, angles, torsions, Lennard-Jones, Coulomb with cutoffs
Eager rendezvous protocol
distributed · low: MPI point-to-point: eager sends for small messages, rendezvous handshake for large ones
Rdma
networking · low: RDMA verbs over InfiniBand/RoCE: queue pairs, memory registration, one-sided ops
Zero-copy I/O
networking · low: Move bytes between files, sockets and NICs by passing page references instead of copying through user space: sendfile, splice, MSG_ZEROCOPY, kTLS.
›
Copy-on-write fork
hardware-os · low: fork() gives the child the parent's whole address space by sharing pages read-only and copying one only when someone writes it; vfork and posix_spawn skip even that.
›
Dirty page tracking
hardware-os · low: Write-protection or PML logs of modified guest/process pages
mmap and the page cache
hardware-os · low: How read() and mmap reach file data through the kernel page cache, what readahead and madvise do, and why databases use their own buffer pool instead.
›
Ptrace process control
hardware-os · low: Ptrace: attach, read and write registers and memory, single-step, intercept signals
+ 6 more primitives
System
Techniques · 5
Primitives · 22
molecular-dynamics
Halo exchange
distributed · medium: Each rank stores its block plus a border copy of its neighbours' edge cells, refreshed by small messages every step; communication scales with block surface, not volume.
›
Checkpoint and restart
hardware-os · medium: Periodically save enough state to resume a computation after a crash, preemption or move, with an interval that balances save cost against lost work.
›
Constraint solvers shake lincs
physics · medium: Hold bond lengths fixed in MD: SHAKE iteration, LINCS matrix expansion, SETTLE for water
Particle mesh ewald
physics · medium: Split long-range forces: real-space short range plus FFT mesh solve (PME, PPPM, TreePM)
Thermostats barostats
physics · medium: Temperature and pressure control in MD: Langevin, Nose-Hoover, velocity rescale, Parrinello-Rahman
Verlet / leapfrog
numerics · low: Half-kick, drift, half-kick: a second-order, time-reversible, symplectic integrator with one force evaluation per step whose energy error stays bounded for millions of steps.
›
Fast Fourier transform
numerics · low: Computes the DFT in O(n log n) by recursively splitting into even and odd halves; the basis of fast convolution and spectral methods.
›
Neighbor lists
physics · low: Cell lists plus Verlet buffer lists for O(n) short-range pair interactions
Periodic boundary conditions
physics · low: Minimum image convention and wrapping for simulations in periodic boxes
SIMD programming
hardware-os · low: Process 4-16 lanes per instruction with AVX2, AVX-512 or NEON via Rust std::arch, with runtime dispatch and a portable fallback.
›
CUDA and GPU languages
languages · low: Programming GPUs: thousands of lockstep threads, bound by memory bandwidth; libraries first, Triton for fused kernels, CUDA C++ for peak speed.
›
Collective communication
ml-training · low: The family of group exchanges (broadcast, reduce, all-gather, reduce-scatter, all-to-all) and the latency-plus-bytes cost model that picks ring, tree or direct algorithms by message size and topology.
›
Floating-point error
numerics · low: How IEEE 754 rounding error accumulates and how to contain it: compensated (Kahan/Neumaier) and pairwise summation, error-free transformations with FMA, ULP comparisons.
›
Force field terms
physics · low: Bonded and nonbonded MD potentials: bonds, angles, torsions, Lennard-Jones, Coulomb with cutoffs
Eager rendezvous protocol
distributed · low: MPI point-to-point: eager sends for small messages, rendezvous handshake for large ones
Rdma
networking · low: RDMA verbs over InfiniBand/RoCE: queue pairs, memory registration, one-sided ops
Zero-copy I/O
networking · low: Move bytes between files, sockets and NICs by passing page references instead of copying through user space: sendfile, splice, MSG_ZEROCOPY, kTLS.
›
Copy-on-write fork
hardware-os · low: fork() gives the child the parent's whole address space by sharing pages read-only and copying one only when someone writes it; vfork and posix_spawn skip even that.
›
Dirty page tracking
hardware-os · low: Write-protection or PML logs of modified guest/process pages
mmap and the page cache
hardware-os · low: How read() and mmap reach file data through the kernel page cache, what readahead and madvise do, and why databases use their own buffer pool instead.
›
Ptrace process control
hardware-os · low: Ptrace: attach, read and write registers and memory, single-step, intercept signals
Newton root finding
numerics · low: Linearize at the guess and jump to the tangent root; quadratic convergence near a simple root, made robust by brackets (1D) or line search.
›
Sparse matrices (CSR)
numerics · low: Compressed sparse row stores only nonzeros as row pointers, column indices and values; SpMV streams them once, so it is memory-bandwidth bound.
›
Spline interpolation
numerics · low: Linear, bilinear/trilinear and cubic spline interpolation on grids and tables
PRNGs (PCG, xoshiro)
numerics · low: Small, fast, statistically strong non-cryptographic generators: PCG32 and xoshiro256**, with seeding, parallel streams and unbiased ranges.
›
Virtual memory and the TLB
hardware-os · low: How page tables and TLBs translate every address, what TLB reach means, and when 2 MiB or 1 GiB huge pages pay off on Linux.
›
LU and Cholesky factorization
numerics · low: Factor A = PLU (any square matrix, partial pivoting) or A = LLᵀ (SPD) once in O(n³), then solve each right-hand side in O(n²).
›
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