Results 91 to 100 of about 9,706 (180)

Solving Differential Equations in R: Package deSolve

Journal of Statistical Software, 2010
In this paper we present the R package deSolve to solve initial value problems (IVP) written as ordinary differential equations (ODE), differential algebraic equations (DAE) of index 0 or 1 and partial differential equations (PDE), the latter solved ...
Karline Soetaert, Thomas Petzoldt, R. Woodrow Setzer   +2 more
doaj  

Physics-Informed Neural Networks and Functional Interpolation for Initial Value Problems with Applications to Integro-Differential and Stiff Differential Equations

, 2022
This dissertation aims to show the development and adaptation of the Extreme Theory of Functional Connections (X-TFC) framework, a Physics-Informed Neural Network (PINN) combined with Theory of Functional Connections (TFC), to solve Initial Value ...
De Florio, Mario
core  

The SBP-SAT Technique for Initial Value Problems [Elektronisk resurs]

, 2013
A detailed account of the stability and accuracy properties of the SBP-SATtechnique for numerical time integration is presented. We show how thetechnique can be used to formulate both global and multi-stage methods withhigh order of accuracy for both ...
Lundquist, Tomas,, Nordström, Jan,
core  

The numerical treatment of stiff initial value problems [PDF]

Banach Center Publications, 1984
openaire   +1 more source

طریقة التطابق مع القذف المتعدد لحل المسائل الابتدائیة الخطیة الصلبة

Al-Rafidain Journal of Computer Sciences and Mathematics, 2005
Basheer M.S. Khalaf, Suhaib A. Al-Tamr
doaj   +1 more source

Validated Numerical Bounds on the Global Error for Initial Value Problems for Stiff Ordinary Differential Equations

, 2004
There are many standard numerical methods for initial value problems (IVPs) for ordinary differential equations (ODEs). Compared with these methods, validated methods for IVPs for ODEs produce bounds that are guaranteed to contain the true solution of a ...
Chao Yu
core  

PINN for stiff moving-boundary PDE to predict the locking point in superheated steam drying. [PDF]

Sci Rep
Malekjani N, Bück A, Tsotsas E, Kharaghani A.   +3 more
europepmc   +1 more source

MorphoGrad: A MATLAB toolbox for simulating steady-state morphogen gradients under cell-to-cell variability. [PDF]

STAR Protoc
Adelmann JA, Vetter R, Iber D.
europepmc   +1 more source

Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]

Sci Rep
Yousuf M, Alshakhoury N.
europepmc   +1 more source

A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems. [PDF]

J Comput Appl Math
Attipoe WK, Kleefeld A, Asante-Asamani EO.   +2 more
europepmc   +1 more source