23 citations · 66 across the 7 of their papers we have counts for
8 papers
New Efficient Implicit-Explicit Deferred Correction methods
Lorenzo Micalizzi, Davide Torlo
In this work, we investigate implicit-explicit (IMEX) arbitrary high-order Deferred Correction (DeC) methods for the approximation of ordinary differential equations (ODEs). Such s…
An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations
Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi +1
We propose a new second-order asymptotic-preserving (AP) dual formulation finite-volume (DF-FV) method for the thermal rotating shallow water (TRSW) equations. The TRSW system mode…
A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations
Alina Chertock, Smadar Karni, Alexander Kurganov +1
The paper focuses on the development of numerical methods for the compressible Euler equations. It is well-known that if the Mach number is small, the system becomes stiff and henc…
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations
Mirco Ciallella, Lorenzo Micalizzi, Victor Michel-Dansac +2
In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inh…
On improving the efficiency of ADER methods
Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo
The (modern) arbitrary derivative (ADER) approach is a popular technique for the numerical solution of differential problems based on iteratively solving an implicit discretization…
Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order
Lorenzo Micalizzi, Davide Torlo, Walter Boscheri
We propose a new paradigm for designing efficient p-adaptive arbitrary high order methods. We consider arbitrary high order iterative schemes that gain one order of accuracy at eac…
A new efficient explicit Deferred Correction framework: analysis and applications to hyperbolic PDEs and adaptivity
Lorenzo Micalizzi, Davide Torlo
The Deferred Correction (DeC) is an iterative procedure, characterized by increasing accuracy at each iteration, which can be used to design numerical methods for systems of ODEs.…
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner +1
In this paper, we develop and present an arbitrary high order well-balanced finite volume WENO method combined with the modified Patankar Deferred Correction (mPDeC) time integrati…