Results 61 to 70 of about 1,700 (198)

Two-sided solution of ODEs via a posteriori error estimates [PDF]

, 1988
Two-sided methods for solving ODEs are presented in the paper. The methods are based on a posteriori error estimates. It is shown that these methods may be successfully applied to stiff ODEs.
Dobronec, B.S.
core   +1 more source

Hybrid Chemical and Data-Driven Model for Stiff Chemical Kinetics Using a Physics-Informed Neural Network

Engineering Proceedings
Models of chemical kinetic processes, comprising systems of stiff ordinary differential equations (ODEs), are essential for modeling important chemical reactions relevant to drinking water chemistry, such as disinfectant decay and disinfection byproduct ...
Matthew Frankel, Mario De Florio, Enrico Schiassi, Lina Sela   +3 more
doaj   +1 more source

Stable Solvers for Stiff ODE Systems

, 2023
AbstractIn the previous chapter, we introduced explicit Runge-Kutta (ERK) methods and demonstrated how they can be implemented as a hierarchy of Python classes. For most ODE systems, replacing the simple forward Euler method with a higher-order ERK method will significantly reduce the number of time steps needed to reach a specified accuracy ...
openaire   +1 more source

A fifth order block methods for solving second-order stiff ordinary differential equations using trigonometric functions and polynomial function as the basis function

African Scientific Reports
The numerical solution of second-order ordinary differential equations (ODEs) is examined in this work through a four-step linear multistep method. It employs a combination of trigonometric and polynomial functions as the approximate solution to the ...
Opoyemi O. Enoch, Catherine O. Alakofa
doaj   +1 more source

Self-evolving meta-learning neural ordinary differential equations: A novel artificial intelligence-driven approach for solving differential equations

Journal of Algorithms & Computational Technology
Solving ordinary differential equations (ODEs) constitutes a fundamental problem for many scientific and engineering disciplines, particularly for stiff, high-dimensional problems, or problems with changing dynamics.
V Murugesh, M Priyadharshini, R Meganathan, Manoj Singhal, Anand Muni Mishra, Santar Pal Singh, Shashi Prakash Dwivedi, Shubham Sharma, Aseel Smerat, Rajesh Singh, Krishnaraj Ramaswamy   +10 more
doaj   +1 more source

Optimized step size control within the Rosenbrock solvers for stiff chemical ordinary differential equation systems in KPP version 2.2.3_rs4 [PDF]

Geoscientific Model Development
Numerical integration of multiphase chemical kinetics in atmospheric models is challenging. The underlying system of ordinary differential equations (ODEs) is stiff and thus difficult to solve.
R. Dreger, T. Kirfel, T. Kirfel, A. Pozzer, S. Rosanka, R. Sander, D. Taraborrelli, D. Taraborrelli   +7 more
doaj   +1 more source

Triangulation proves Geum brocade with the horizontal loom of Gojoseon

Fashion and Textiles, 2022
Geum (錦, Jin) is a jacquard brocade silk fabric (or doubled~tripled woven) with multi-colored warps. Because patterns are shown by colored yarns of overlapping warp layers, it is dense and stiff, making bulky silhouette of layerlook suitable in cool or ...
Jisu Kim, Young-Joo Na
doaj   +1 more source

On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs [PDF]

, 2013
In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y").
Khairil Iskandar Othman, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Siti Ainor Mohd Yatim, Mohd Yatim, Siti Ainor, Zarina Bibi Ibrahim, Suleiman, Mohamed, Mohamed Suleiman   +7 more
core   +1 more source

A variable parameter embedded dirk algorithm for the numerical integration of stiff systems of ODEs [PDF]

, 1987
In the numerical solution of large stiff systems of ODEs, the solution of the associated linear systems of algebraic equations often dominate the solution time.
Al-Rabeh, A.H.
core   +1 more source

Some stiffly stable second derivative continuous linear multistep methods with a hybrid point for stiff IVPS in ODEs [PDF]

, 2012
Based on Gear¡¦s fixed step size backward differentiation methods, Gear (1968), second derivative continuous linear multistep methods with an off-step point are presented.
Nwachukwu, GC
core   +2 more sources