Note on the absolutely continuous spectrum of Sturm-Liouville operators.
Note on the uniqueness of a global positive solution to the second Painlevé equation.
Notes on the Fučík spectrum and the mixed boundary value problem
The paper is devoted to the study of the properties of the Fučík spectrum. In the first part, we analyse the Fučík spectra of the problems with one second order ordinary differential equation with Dirichlet, Neumann and mixed boundary conditions and we present the explicit form of nontrivial solutions. Then, we discuss the problem with two second order differential equations with mixed boundary conditions. We show the relation between the Dirichlet boundary value problem and mixed boundary value...
Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions
Using Burgers’ equation with mixed Neumann–Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating point number system. We describe the dynamical system generated by Burgers’ equation with mixed boundary conditions, summarize some of its properties and analyze the equilibrium states for finite dimensional dynamical systems that are generated by numerical approximations of this...
Numerical Computation of Branch Points in Ordinary Differential Equations.
Numerical Error Bounds for Fourth Order Boundary Value Problems, Simultaneous Estimation of u(x) and u"(x).
Numerical experiments with different schemes for a singularly perturbed problem.
Numerical modelling and simulation of liquid-impelled loop reactor.
Numerical solution of boundary value problems by least squares
Numerical solution of boundary value problems for selfadjoint differential equations of th order
The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit the special...
Numerical solution of initial and singularly perturbed two-point boundary value problems using adaptive spline function approximation.
Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen.