in this paper, we introduce the new class of implicit l-stable generalized hybrid methods forthe numerical solution of first order initial value problems. we generalize the hybrid methodswith utilize ynv directly in the right hand side of classical hybrid methods. the numericalexperimentation showed that our method is considerably more efficient compared to wellknown methods used for the numer...

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 to implicit-explicit or partitioned type methods for advection-diffusion-reaction problems, and to efficient explicit solvers for stiff mean-squ...

Here, we present a truly second order time accurate self-consistent IMEX (IMplicit/EXplicit) method for solving the Euler equations that posses strong nonlinear heat conduction and very stiff source terms (Radiation hydrodynamics). This study essentially summarizes our previous and current research related to this subject (Kadioglu & Knoll, 2010; 2011; Kadioglu, Knoll & Lowrie, 2010; Kadioglu, ...

In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the n...

Burnout syndrome involves emotional exhaustion (EE), depersonalization (DP) and reduced personal achievement (PA).(1,2) Burnout is associated with absenteeism, physical illnesses, emotional problems, poor work performance and negative attitudes(3) and may result in decreased quality of medical care. The most widely used burnout syndrome measurement tool is the Maslach Burnout Inventory (MBI).(4...

Explicit stabilized methods are an efficient alternative to implicit schemes for the time integration of stiff systems differential equations in large dimension. In this paper, we derive explicit integrators orders one and two optimal control systems. We analyze their favorable stability properties based on continuous optimality conditions. Furthermore, study order convergence taking advantage ...

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 ODE, such as Taylor series method, outperform them in many cases. Nevertheless, method is not well-suited stiff problems since it explicit and A-stable. In our paper, we present a numerical-analytic...