"Series title: Springerbriefs in applied sciences and technology, ISSN 2191-530X"This chapter describes the main integration algorithms utilized in the resolution of the dynamics equations of motion. Particular emphasis is paid to the Euler method, Runge-Kutta approach and Adams predictor-corrector method that allows for the use of variable time steps during the integration process. The material presented here, relative to numerical integration of ordinary differential equations, follows that of any undergraduate text on numerical analysis.(undefined
SIGLEAvailable from British Library Document Supply Centre- DSC:D44940/83 / BLDSC - British Library ...
Abstract. We provide a theoretical analysis of the processing technique for the numerical integratio...
This book unites the study of dynamical systems and numerical solution of differential equations. Th...
International audienceNumerical methods are necessary to understand the behav- iors of complex hybri...
Abstract. Numerical methods are necessary to understand the behav-iors of complex hybrid systems use...
Presented are a variety of modern practical techniques for the derivation of integration schemes tha...
This paper constructs highly accurate and efficient time integration methods for the solution of tra...
Most real life phenomena change with time, hence dynamic. Differential equations are used in mathema...
A study on the properties of the precise time-step integration methods for the simulation of dynamic...
Includes bibliographical references (p. 245-249) and index.Theory of differential equations: an intr...
Considered the problem of optimization of the process of constructing specialized algorithms for the...
This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equa...
We describe new types of numerical integration algorithms developed by the authors. The main aim of ...
Abstract. Implicit Runge-Kutta integration algorithms based on generalized coordinate partitioning a...
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential ...
SIGLEAvailable from British Library Document Supply Centre- DSC:D44940/83 / BLDSC - British Library ...
Abstract. We provide a theoretical analysis of the processing technique for the numerical integratio...
This book unites the study of dynamical systems and numerical solution of differential equations. Th...
International audienceNumerical methods are necessary to understand the behav- iors of complex hybri...
Abstract. Numerical methods are necessary to understand the behav-iors of complex hybrid systems use...
Presented are a variety of modern practical techniques for the derivation of integration schemes tha...
This paper constructs highly accurate and efficient time integration methods for the solution of tra...
Most real life phenomena change with time, hence dynamic. Differential equations are used in mathema...
A study on the properties of the precise time-step integration methods for the simulation of dynamic...
Includes bibliographical references (p. 245-249) and index.Theory of differential equations: an intr...
Considered the problem of optimization of the process of constructing specialized algorithms for the...
This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equa...
We describe new types of numerical integration algorithms developed by the authors. The main aim of ...
Abstract. Implicit Runge-Kutta integration algorithms based on generalized coordinate partitioning a...
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential ...
SIGLEAvailable from British Library Document Supply Centre- DSC:D44940/83 / BLDSC - British Library ...
Abstract. We provide a theoretical analysis of the processing technique for the numerical integratio...
This book unites the study of dynamical systems and numerical solution of differential equations. Th...