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Zhaopeng Hao

Mathematics · Purdue University West Lafayette

OpenAlex
Mid career · publishing since 2014
Fractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods in engineeringNumerical methods for differential equations

Publications

28

Citations

853

Est. group size

—

Recurring co-author estimate

Active years

13

Publishing since 2014

Research summary
AI-generated

Zhaopeng Hao develops and analyzes numerical methods for solving fractional differential equations, which are mathematical models used to describe processes with memory or long-range effects, such as diffusion and wave phenomena. Much of the work focuses on designing finite difference, finite element, and spectral (Galerkin) methods that remain accurate even when solutions have rough or non-smooth behavior near boundaries. This research is largely computational/applied mathematics aimed at improving the speed, accuracy, and theoretical error guarantees of algorithms for these equations.

Fractional differential equationsNumerical methods for PDEs (finite difference, finite element, spectral/Galerkin)Fractional Laplacian operatorsEquations with non-smooth or singular solutionsStochastic and noise-driven differential equations

Publication output has fluctuated over the last decade, with a notable peak in 2020-2021 followed by a slower, more sporadic pace in recent years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 1.0/year recently
2017: 2 publications172018: 1 publication18192020: 4 publications202021: 6 publications6212022: 1 publication22232024: 1 publication242025: 2 publications252026: 1 publication26
Recent publications
Publishes in
  • arXiv (Cornell University)×5
  • Journal of Scientific Computing×4
  • Numerical Algorithms×2
  • International Journal of Computer Mathematics×2
  • Journal of Computational Physics×1
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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