The stiffness in some systems of nonlinear differential equations is shown to be characterized by single stiff equations of the form y' = g'(x) + \\y g(x)\. The stability and accuracy of numerical approximations to the solution v = g(x), obtained using implicit one-step integration methods, are studied. An S-stability property is introduced for this problem, generalizing the concept of /4-stabi...

long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region. in this paper, we apply second derivative general linear methods to solve some stiff chemical problems such as chemical akzo nobel problem, hires problem and orego problem.

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 network, such that not only conforms to measurements, initial boundary conditions but also satisfies governing equations. This work first investigates performance PINN solving stiff chemical kinetic problems with equations...