Concepedia

Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs

Yonghui Bo, Yushun Wang, Wenjun Cai

Numerical Algorithms · 2022 · 12 citations · 38 references

DOIFull text

Open access

Concepts

References

38

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

, , +12

The scalar auxiliary variable (SAV) approach for gradient flows

Jie Shen, Jie Xu, Jiang Yang · Journal of Computational Physics · 2017 · 1K citations

, , +11

A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

Jie Shen, Jie Xu, Jiang Yang · SIAM Review · 2019 · 682 citations · Full text

, , +11

Geometric integration using discrete gradients

Robert I. McLachlan, G. Quispel, Nicolas Robidoux · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 532 citations

, , +17

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

Xiaofeng Yang · Journal of Computational Physics · 2016 · 475 citations

, , +16