Results 61 to 70 of about 167 (129)
Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity K=K(p)$$ K=K(p) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini +3 more
wiley +1 more source
Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract Fully implicit Runge–Kutta methods offer the possibility to use high order accurate time discretization to match space discretization accuracy, an issue of significant importance for many large scale problems of current interest, where we may have fine space resolution with many millions of spatial degrees of freedom and long time intervals ...
Owe Axelsson +2 more
wiley +1 more source
Analysis and Implementation of Numerical Methods for Solving Ordinary Differential Equations [PDF]
, 2017 Numerical methods to solve initial value problems of differential equations progressed quite a bit in the last century. We give a brief summary of how useful numerical methods are for ordinary differential equations of first and higher order.
Rana, Muhammad Sohel
core
Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
, 2009 This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core +1 more source
, 2021 A Julia library of summation-by-parts (SBP) operators, which are discrete derivative operators developed to get provably stable semidiscretizations, paying special attention to boundary conditions.
Ranocha, Hendrik
core +1 more source
Computation and Uses of the Semidiscrete Matrix Decomposition [PDF]
, 1999 We derive algorithms for computing a semidiscrete approximation to a matrix in the Frobenius and weighted norms. The approximation is formed as a weighted sum of outer products of vectors whose elements are +/=1 or 0, so the storage required by the approximation is quite small.
Kolda, T.G., O'Leary, D.P.
openaire +2 more sources
. Time-fractional semilinear and quasilinear parabolic equations with a Caputo time derivative of order [Formula: see text] are considered, solutions of which exhibit a singular behavior at an initial time of type [Formula: see text ...
Natalia Kopteva, Seán Kelly
core +1 more source
Stability of flat interfaces during semidiscrete solidification [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2002 Summary: The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs-Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained
openaire +2 more sources
Semidiscretization in time for nonlinear Schrödinger-waves equations
Discrete and Continuous Dynamical Systems, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colin, Thierry, Fabrie, Pierre
openaire +2 more sources
A mixed finite element method for nearly incompressible multiple-network poroelasticity
, 2019 In this paper, we present and analyze a new mixed finite element formulation of a general family of quasi-static multiple-network poroelasticity (MPET) equations.
Rognes, Marie Elisabeth +3 more
core +1 more source