Results 231 to 240 of about 1,424,011 (281)
Some of the next articles are maybe not open access.
2011
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
openaire +1 more source
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
openaire +1 more source
General Boundary-Value Problems
1992Section 5.1 introduces the general elliptic linear differential equation of second order together with the Dirichlet boundary values. An important statement is the maximum-minimum principle in §5.1.2. In §5.1.3 sufficient conditions for the uniqueness of the solution and the continuous dependence on the data are proved.
openaire +1 more source
1988
When a person begins the study of ordinary differential equations, he is usually confronted first by initial value problems, i.e. a differential equation plus conditions which the solution must satisfy at a given point x = x0.
Mayer Humi, William Miller
openaire +2 more sources
When a person begins the study of ordinary differential equations, he is usually confronted first by initial value problems, i.e. a differential equation plus conditions which the solution must satisfy at a given point x = x0.
Mayer Humi, William Miller
openaire +2 more sources
1984
In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
L. C. Piccinini +2 more
openaire +1 more source
In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
L. C. Piccinini +2 more
openaire +1 more source
Geodetic boundary value problems I
1986Veröffentlichungen des Zentralinstituts Physik der Erde ...
openaire +1 more source
1996
Abstract The main difficulty with the nonhomogeneous Dirichlet boundary condition is related to the fact that problem (2.21) does not admit a suitable variational formulation. The standard way of handling (2.21) is based on extending the boundary data into the interior and then transforming the problem with homogeneous Dirichlet ...
P Neittaanmäki, M Rudnicki, A Savini
openaire +1 more source
Abstract The main difficulty with the nonhomogeneous Dirichlet boundary condition is related to the fact that problem (2.21) does not admit a suitable variational formulation. The standard way of handling (2.21) is based on extending the boundary data into the interior and then transforming the problem with homogeneous Dirichlet ...
P Neittaanmäki, M Rudnicki, A Savini
openaire +1 more source
2017
This chapter is devoted to boundary value problems for ordinary differential equations. It begins with analysis of the existence and uniqueness of solutions to these problems, and the effect of perturbations to the problem. The first numerical approach is the shooting method. This is followed by finite differences and collocation. Finite elements allow
openaire +1 more source
This chapter is devoted to boundary value problems for ordinary differential equations. It begins with analysis of the existence and uniqueness of solutions to these problems, and the effect of perturbations to the problem. The first numerical approach is the shooting method. This is followed by finite differences and collocation. Finite elements allow
openaire +1 more source
2000
Linear partial differential equations the wave equation Green's function and Sturm-Liouville problems Fourier series and Fourier transforms the heat equation Laplace's equation and Poisson's equation problems in higher dimensions.
openaire +1 more source
Linear partial differential equations the wave equation Green's function and Sturm-Liouville problems Fourier series and Fourier transforms the heat equation Laplace's equation and Poisson's equation problems in higher dimensions.
openaire +1 more source
1971
In this section, we discuss two point boundary value problems for the nonhomogeneous equation (32.2) and obtain results of the “Fredholm alternative” type. With these results, applications to weakly nonlinear problems can be obtained in the standard, manner.
openaire +1 more source
In this section, we discuss two point boundary value problems for the nonhomogeneous equation (32.2) and obtain results of the “Fredholm alternative” type. With these results, applications to weakly nonlinear problems can be obtained in the standard, manner.
openaire +1 more source
2015
A discussion is given of elliptic–hyperbolic boundary value problems, emphasizing quasilinear methods and Tricomi problems, and including examples of sonic lines having curvature. Recent work of S.-X. Chen on the nonlinear Lavrent’ev–Bitsadze equation is emphasized.
openaire +1 more source
A discussion is given of elliptic–hyperbolic boundary value problems, emphasizing quasilinear methods and Tricomi problems, and including examples of sonic lines having curvature. Recent work of S.-X. Chen on the nonlinear Lavrent’ev–Bitsadze equation is emphasized.
openaire +1 more source