[HTML][HTML] An almost fail-safe a-posteriori limited high-order CAT scheme
In this paper we blend the high order Compact Approximate Taylor (CAT) numerical
schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm …
schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm …
Boundary effects on wave trains in the Exner model of sedimental transport
E Macca, G Russo - Bollettino dell'Unione Matematica Italiana, 2024 - Springer
In this work we compute the numerical solution of the Exner model of sedimentation when a
train of waves is imposed at the inflow boundary (E. Macca in Shock-Capturing methods …
train of waves is imposed at the inflow boundary (E. Macca in Shock-Capturing methods …
Semi-Implicit-type order-adaptive CAT2 schemes for systems of balance laws with relaxed source term
E Macca, S Boscarino - Communications on Applied Mathematics and …, 2024 - Springer
In this paper, we present two semi-implicit-type second-order compact approximate Taylor
(CAT2) numerical schemes and blend them with a local a posteriori multi-dimensional …
(CAT2) numerical schemes and blend them with a local a posteriori multi-dimensional …
CAT-MOOD methods for conservation laws in one space dimension
In this paper we blend high-order Compact Approximate Taylor (CAT) numerical methods
with the a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve …
with the a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve …
Adaptive Time-Step Semi-Implicit One-Step Taylor Scheme for Stiff Ordinary Differential Equations
S Boscarino, E Macca - arXiv preprint arXiv:2409.11990, 2024 - arxiv.org
In this study, we propose high-order implicit and semi-implicit schemes for solving ordinary
differential equations (ODEs) based on Taylor series expansion. These methods are …
differential equations (ODEs) based on Taylor series expansion. These methods are …
High Resolution Well-Balanced Compact Implicit Numerical Scheme for Numerical Solution of the Shallow Water Equations
M Žeravý, P Frolkovič - XVI International Conference on Hyperbolic …, 2022 - Springer
In this work, we solve the shallow water equations with topography using a novel high
resolution well-balanced compact implicit finite difference scheme. The scheme uses the …
resolution well-balanced compact implicit finite difference scheme. The scheme uses the …