Results 241 to 250 of about 724,427 (269)
Some of the next articles are maybe not open access.
Fundamentals of finite elements and finite differences
2012In this introductory chapter we summarize some fundamental topics of approximation theory by finite elements and finite differences. The aim is to introduce the reader to notations and conventions used in the book and to gather in an organic way some basic results that are scattered in the vast literature concerning finite elements and finite ...
Alessandro Veneziani +2 more
openaire +2 more sources
Finite Difference and Finite Element Methods
1999Applications of the finite difference and finite element techniques to vibroacoustic problems are presented. The basic ideas and the mathematical descriptions are outlined for both of the methods and examples are given to demonstrate the potential of such numerical techniques.
Tonni F. Johansen +2 more
openaire +2 more sources
Finite difference and finite element methods
Computer Physics Communications, 1976Abstract The relationships between and relative advantages of finite difference and finite element methods are discussed. The less familiar finite element methods are described first for equilibrium problems: it is shown how quadratic elements on right triangles lead to natural generalisations of the powerful, fourth order accurate nine-point ...
openaire +2 more sources
1973
In this chapter we introduce the calculus of finite differences, with applications in difference equations, interpolation and extrapolation and solutions to simple difference equations. Finite difference integration methods are discussed. More complex finite difference equations are then solved by operator techniques.
openaire +2 more sources
In this chapter we introduce the calculus of finite differences, with applications in difference equations, interpolation and extrapolation and solutions to simple difference equations. Finite difference integration methods are discussed. More complex finite difference equations are then solved by operator techniques.
openaire +2 more sources
2017
This chapter presents numerical approaches based on finite difference (FD) techniques for dynamic simulation of single-link flexible manipulator systems. A finite-dimensional simulation of the flexible manipulator system is developed using an FD discretisation of the dynamic equation of motion of the manipulator.
M. O. Tokhi, Abul K. M. Azad
openaire +2 more sources
This chapter presents numerical approaches based on finite difference (FD) techniques for dynamic simulation of single-link flexible manipulator systems. A finite-dimensional simulation of the flexible manipulator system is developed using an FD discretisation of the dynamic equation of motion of the manipulator.
M. O. Tokhi, Abul K. M. Azad
openaire +2 more sources
1995
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Kazimierz Zakrzewski, Richard L. Stoll
openaire +2 more sources
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Kazimierz Zakrzewski, Richard L. Stoll
openaire +2 more sources
Finite Differences and Difference Equations
1979In Applied Mathematics we frequently encounter functions, relationships or equations that somehow depend upon one or more integer variables. There is a body of Mathematics, termed the Calculus of Finite Differences, that frequently proves useful in treating such situations.
openaire +2 more sources
2019
The SWE are a system of two nonlinear hyperbolic PDEs that must be numerically solved to describe the time evolution of the fluid velocity and water depth in the entire computational domain. Finite-difference methods to obtain approximate numerical solutions are described in this chapter. First, basic numerical aspects are presented. The implementation
Oscar Castro-Orgaz, Willi H. Hager
openaire +2 more sources
The SWE are a system of two nonlinear hyperbolic PDEs that must be numerically solved to describe the time evolution of the fluid velocity and water depth in the entire computational domain. Finite-difference methods to obtain approximate numerical solutions are described in this chapter. First, basic numerical aspects are presented. The implementation
Oscar Castro-Orgaz, Willi H. Hager
openaire +2 more sources
Finite Difference Approximations
2019This chapter presents the formulation of higher order finite difference (FD) formulas for the spatial approximation of the time-dependent reaction–diffusion problems with a clear justification through examples, the supremacy between the second- and fourth-order schemes. As a consequence, methods for the solution of initial and boundary value PDEs, such
Abdon Atangana, Kolade M. Owolabi
openaire +2 more sources
2020
In this chapter, we will develop FD and FDTD solvers for a sequence of PDEs of increasing complexity. We will begin with the one-dimensional (1-D) wave equation, and then we will consider Laplace's equation with two spatial dimensions, Maxwell's equations for two-dimensional (2-D) problems, and the full system of three-dimensional (3-D) Maxwell's ...
openaire +2 more sources
In this chapter, we will develop FD and FDTD solvers for a sequence of PDEs of increasing complexity. We will begin with the one-dimensional (1-D) wave equation, and then we will consider Laplace's equation with two spatial dimensions, Maxwell's equations for two-dimensional (2-D) problems, and the full system of three-dimensional (3-D) Maxwell's ...
openaire +2 more sources