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Advanced Numerical Methods in Computational Mathematics

Advanced Numerical Methods in Computational Mathematics is a research topic within Computational Mechanics. Science Explorer counts 38k research works in it since 1950. 9.9% of them reached the world's top 10% most cited for their field and year.

This cluster of papers represents advancements in finite element methods, particularly focusing on their application to fluid-structure interaction problems. The papers cover topics such as discontinuous Galerkin methods, high-order schemes, adaptive mesh refinement, stabilized methods, multiscale modeling, preconditioners, variational methods, and PDE-constrained optimization.

  • Finite Element Methods
  • Fluid-Structure Interaction
  • Discontinuous Galerkin Methods
  • High-Order Schemes
  • Adaptive Mesh Refinement
  • Stabilized Methods
  • Multiscale Modeling
  • Preconditioners
  • Variational Methods
  • PDE-Constrained Optimization
Research works
38k
fractional, since 1950
In the world top 10%
3.8k
per year above
Top-10% rate
9.9%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+3%
the tick is no change
Largest producer
China
39% of the 10 largest, 2022-now
Advanced Numerical Methods in Computational Mathematics
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