Results 11 to 20 of about 25,857 (298)

Rational Approximation Method for Stiff Initial Value Problems [PDF]

Mathematics, 2021
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov, Denis Butusov, Valery Andreev , Erivelton G. Nepomuceno   +3 more
doaj   +2 more sources

Explicit Methods for Integrating Stiff Cauchy Problems

Doklady Mathematics, 2019
An explicit method for solving stiff Cauchy problems is proposed. The method relies on explicit schemes and a step size selection algorithm based on the curvature of an integral curve. Closed-form formulas are derived for finding the curvature. For Runge-Kutta schemes with up to four stages, the corresponding sets of coefficients are given.
Belov A.A., Kalitkin N.N., Bulatov P.E., Zholkovskii E.K.   +3 more
openaire   +5 more sources

Stiff-PINN: Physics-Informed Neural Network for Stiff Chemical Kinetics

, 2021
The recently developed physics-informed neural network (PINN) has achieved success in many science and engineering disciplines by encoding physics laws into the loss functions of the neural network such that the network not only conforms to the ...
Zhiyu Shi (11361373), Weilun Qiu, Sili Deng (4424518), Weilun Qiu (11361370), Zhiyu Shi, Sili Deng, Weiqi Ji, Shaowu Pan, Weiqi Ji (10010996), Shaowu Pan (1932613)   +9 more
core   +2 more sources

An Order Four Continuous Numerical Method for Solving General Second Order Ordinary Differential Equations

Journal of Nigerian Society of Physical Sciences, 2021
Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically.
Friday Obarhua, Oluwasemire John Adegboro   +1 more
doaj   +1 more source

On application of solution continuation method with respect to the best exponential argument in solving stiff boundary value problems

Discrete and Continuous Models and Applied Computational Science, 2023
The problematic of solving stiff boundary value problems permeates numerous scientific and engineering disciplines, demanding novel approaches to surpass the limitations of traditional numerical techniques. This research delves into the implementation of
Ekaterina D. Tsapko, Sergey S. Leonov, Evgenii B. Kuznetsov   +2 more
doaj   +1 more source

On the convergence of Lawson methods for semilinear stiff problems [PDF]

Numerische Mathematik, 2020
AbstractSince their introduction in 1967, Lawson methods have achieved constant interest in the time discretization of evolution equations. The methods were originally devised for the numerical solution of stiff differential equations. Meanwhile, they constitute a well-established class of exponential integrators, which has turned out to be competitive
Hochbruck, Marlis, Leibold, Jan, Ostermann, Alexander   +2 more
openaire   +4 more sources

The stiff Neumann problem: Asymptotic specialty and “kissing” domains [PDF]

Asymptotic Analysis, 2021
We study the stiff spectral Neumann problem for the Laplace operator in a smooth bounded domain [Formula: see text] which is divided into two subdomains: an annulus [Formula: see text] and a core [Formula: see text]. The density and the stiffness constants are of order [Formula: see text] and [Formula: see text] in [Formula: see text], while they are ...
V. Chiado' Piat, L. D'Elia, S. A. Nazarov   +2 more
openaire   +4 more sources

A HIGHER ORDER A-STABLE DIAGONALLY IMPLICIT 2-POINT SUPER CLASS OF BLOCK EXTENDED BACKWARD DIFFERENTIATION FORMULA FOR SOLVING STIFF INITIAL VALUE PROBLEMS [PDF]

Matrix Science Mathematic
This paper presents the formulation of higher order diagonally implicit 2-point super class of block extended backward differentiation formula (2DSBEBDF) for solving first order stiff initial value problems.
Buhari Alhassan, Hamisu Musa
doaj   +1 more source

Some Remarks on a Variational Method for Stiff Differential Equations

Mathematics, 2019
We have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes,
Sergio Amat, María José Legaz, Pablo Pedregal   +2 more
doaj   +1 more source

Explicit stabilized integration of stiff determinisitic or stochastic problems [PDF]

, 2012
Explicit stabilized methods for stiff ordinary differential equations have a long history. Proposed in the early 1960s and developed during 40 years for the integration of stiff ordinary differential equations, these methods have recently been extended ...
Assyr Abdulle, Abdulle, Assyr
core   +1 more source