Fields · Physical Sciences · Mathematics

Numerical Analysis

study of algorithms that use numerical approximation for the problems of mathematical analysis

Papers listed on taxonomy pages are the top few works per node from the OpenAlex snapshot. That list is not exhaustive and is not an endorsement. The topic map and the journal registry remain separate: there is still no authoritative topic-to-venue or topic-to-organization edge. Search is a lexical lookup, not a claim that a venue publishes a topic.

Most cited

  1. Handbook of Mathematical Functions

    Donald A. McQuarrie · 1966 · American Journal of Physics · 40,903 citations

  2. Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces

    Rainer Storn, Kenneth V. Price · 1997 · Journal of Global Optimization · 29,372 citations

  3. Deterministic Nonperiodic Flow

    Edward N. Lorenz · 1963 · Journal of the Atmospheric Sciences · 19,525 citations

  4. Nonlinear Programming

    Dimitri P. Bertsekas · 1997 · Journal of the Operational Research Society · 10,940 citations

  5. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

    Andreas Wächter, Lorenz T. Biegler · 2005 · Mathematical Programming · 9,653 citations

  6. On the limited memory BFGS method for large scale optimization

    Dong C. Liu, Jorge Nocedal · 1989 · Mathematical Programming · 8,740 citations

Most recent

  1. Convergence Analysis of Newton-Raphson Method for Nonlinear Integral Equations

    Assanu Augustine · 2026 · Zenodo (CERN European Organization for Nuclear Research) · 0 citations

  2. Spherical designs for finite quaternionic unit groups and their applications to modular forms

    Masatake Hirao, Hiroshi Nozaki, Koji Tasaka · 2026 · Algebraic Combinatorics · 0 citations

  3. The semi-explicit nonsmooth Newmark-β time integrator for robust unilateral contact in dynamic fragmentation simulations

    Thibault Ghesquière-Diérickx, Guillaume Anciaux, Vincent Acary, Jean‐François Molinari · 2026 · Computer Methods in Applied Mechanics and Engineering · 0 citations

  4. A high-order nonlinear compact difference scheme for the 2D Sobolev equation with Burgers' type nonlinearity

    Yu Wang, Xin Zhang, Yuanfeng Jin · 2026 · Physica Scripta · 0 citations

  5. Optimal Quadrature Errors and Sampling Numbers for Sobolev Spaces with Logarithmic Perturbation on Spheres

    Jiaxin Geng, Yun Ling, Jiansong Li, Heping Wang · 2026 · Constructive Approximation · 0 citations

  6. An unfitted boundary algebraic equation method based on difference potentials and lattice Green’s function in 3D

    Qing Xia · 2026 · Advances in Computational Mathematics · 0 citations

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