The physics of financial networks

M Bardoscia, P Barucca, S Battiston, F Caccioli… - Nature Reviews …, 2021 - nature.com
As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …

High order strong stability preserving time discretizations

S Gottlieb, DI Ketcheson, CW Shu - Journal of Scientific Computing, 2009 - Springer
Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

PETSc users manual

S Balay, S Abhyankar, M Adams, J Brown, P Brune… - 2019 - ora.ox.ac.uk
The Portable, Extensible Toolkit for Scientific Computation (PETSc), is a suite of data
structures and routines for the scalable (parallel) solution of scientific applications modeled …

[KSIĄŻKA][B] Strong stability preserving Runge-Kutta and multistep time discretizations

S Gottlieb, D Ketcheson, CW Shu - 2011 - World Scientific
Strong Stability Preserving Explicit Runge—Kutta Methods | Strong Stability Preserving
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …

PETSc/TS: A modern scalable ODE/DAE solver library

S Abhyankar, J Brown, EM Constantinescu… - arxiv preprint arxiv …, 2018 - arxiv.org
High-quality ordinary differential equation (ODE) solver libraries have a long history, going
back to the 1970s. Over the past several years we have implemented, on top of the PETSc …

Relaxation Runge--Kutta methods: Fully discrete explicit entropy-stable schemes for the compressible Euler and Navier--Stokes equations

H Ranocha, M Sayyari, L Dalcin, M Parsani… - SIAM Journal on …, 2020 - SIAM
The framework of inner product norm preserving relaxation Runge--Kutta methods [DI
Ketcheson, SIAM J. Numer. Anal., 57 (2019), pp. 2850--2870] is extended to general convex …

PETSc users manual revision 3.8

S Balay, S Abhyankar, M Adams, J Brown, P Brune… - 2017 - repository.kaust.edu.sa
This manual describes the use of PETSc for the numerical solution of partial differential
equations and related problems on high-performance computers. The Portable, Extensible …

Relaxation Runge--Kutta methods: Conservation and stability for inner-product norms

DI Ketcheson - SIAM Journal on Numerical Analysis, 2019 - SIAM
We further develop a simple modification of Runge--Kutta methods that guarantees
conservation or stability with respect to any inner-product norm. The modified methods can …

RUPTURA: simulation code for breakthrough, ideal adsorption solution theory computations, and fitting of isotherm models

S Sharma, SRG Balestra, R Baur, U Agarwal… - Molecular …, 2023 - Taylor & Francis
We present the RUPTURA code (https://github. com/iraspa/ruptura) as a free and open-
source software package (MIT license) for (1) the simulation of gas adsorption breakthrough …

A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations

Ö Oruç - Engineering Analysis with Boundary Elements, 2021 - Elsevier
In this study, one-dimensional (1D) and two-dimensional (2D) coupled Schrödinger-
Boussinesq (SBq) equations are examined numerically. A local meshless method based on …