Philosophy of exponential integrators Solve stiff initial-value problem u ′(t) = f (u(t)), u(0) = u0. The philosophy of exponential integrators is based on the following principles: ◮ Identify essential properties of the problem; ◮ Extract from this a prototypical equation; ◮ Solve the prototypical equation exactly; ◮ Incorporate its solution into the numerical scheme
In the first part of this study an exponential integration scheme for computing solutions of large s...
In this paper, we construct a new class of four-step third derivative exponential fitting integrator...
APExponential multistep ODE solvers for stiff problems : convergence and stability analysi
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014Includes bibliographical ref...
Abstract: The paper deals with numerical method for solving stiff systems of ordinary diff...
Large scale numerical models of systems evolving over a wide range of temporal and spatial scales a...
Large scale numerical models of systems evolving over a wide range of temporal and spatial scales a...
Exponential integrators have received renewed interest in recent years as a means to approximate sti...
Stiff systems of ordinary differential equations (ODEs) play an essential role in the temporal integ...
Among the fastest methods for solving stiff PDE are exponential integrators, which require the evalu...
Exponential multistep ODE solvers for stiff problems : convergence and stability analysi
In this paper, efforts are geared towards the numerical solution of the first order initial value pr...
ABSTRACT. Specialized integration algorithms for initial value problems, obtained by applying conven...
ABSTRACT This research paper presents the development, analysis, and implementation of a new numeric...
AbstractWe present an exponentially fitted scheme for the numerical integration of stiff systems of ...
In the first part of this study an exponential integration scheme for computing solutions of large s...
In this paper, we construct a new class of four-step third derivative exponential fitting integrator...
APExponential multistep ODE solvers for stiff problems : convergence and stability analysi
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014Includes bibliographical ref...
Abstract: The paper deals with numerical method for solving stiff systems of ordinary diff...
Large scale numerical models of systems evolving over a wide range of temporal and spatial scales a...
Large scale numerical models of systems evolving over a wide range of temporal and spatial scales a...
Exponential integrators have received renewed interest in recent years as a means to approximate sti...
Stiff systems of ordinary differential equations (ODEs) play an essential role in the temporal integ...
Among the fastest methods for solving stiff PDE are exponential integrators, which require the evalu...
Exponential multistep ODE solvers for stiff problems : convergence and stability analysi
In this paper, efforts are geared towards the numerical solution of the first order initial value pr...
ABSTRACT. Specialized integration algorithms for initial value problems, obtained by applying conven...
ABSTRACT This research paper presents the development, analysis, and implementation of a new numeric...
AbstractWe present an exponentially fitted scheme for the numerical integration of stiff systems of ...
In the first part of this study an exponential integration scheme for computing solutions of large s...
In this paper, we construct a new class of four-step third derivative exponential fitting integrator...
APExponential multistep ODE solvers for stiff problems : convergence and stability analysi