TY - JOUR
T1 - A Stress Test for the Midpoint Time-Stepping Method 
AU - Burkardt , John
AU - Pei , Wenlong
AU - Trenchea , Catalin
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 299
EP - 314
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20482.html
KW - Midpoint method, local error estimation, time step adaptivity, conservation, B-stable.
AB - <p style="text-align: justify;">The midpoint method can be implemented as a sequence of Backward Euler and
Forward Euler solves with half time steps, allowing for improved performance of existing solvers
for PDEs. We highlight the advantages of this refactorization by considering some specifics of
implementation, conservation, error estimation, adaptivity, stability, and performance on several
test problems.</p>