The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line
In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p>1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line (@f(u^'))^'+a(t)f(u(t))=0,0 R is ...
A family of multi-point iterative methods for solving systems of nonlinear equations
We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order ...
Analysis and application of the IIPG method to quasilinear nonstationary convection-diffusion problems
We develop a numerical method for the solution of convection-diffusion problems with a nonlinear convection and a quasilinear diffusion. We employ the so-called incomplete interior penalty Galerkin (IIPG) method which is suitable for a discretization of ...
Simulation of the continuous time random walk of the space-fractional diffusion equations
In this article, we discuss the solution of the space-fractional diffusion equation with and without central linear drift in the Fourier domain and show the strong connection between it and the @a-stable Levy distribution, 0<@a<2. We use some relevant ...
Superconvergence of finite element method for the Signorini problem
In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h^3^2) under a proper ...
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes
We are interested here in the numerical approximation of a family of probability measures, solution of the Chapman-Kolmogorov equation associated to some non-diffusion Markov process with uncountable state space. Such an equation contains a transport ...
Three-stage stochastic Runge-Kutta methods for stochastic differential equations
In this paper we discuss three-stage stochastic Runge-Kutta (SRK) methods with strong order 1.0 for a strong solution of Stratonovich stochastic differential equations (SDEs). Higher deterministic order is considered. Two methods, a three-stage explicit ...
A Chebyshev spectral collocation method for solving Burgers'-type equations
In this paper, we elaborated a spectral collocation method based on differentiated Chebyshev polynomials to obtain numerical solutions for some different kinds of nonlinear partial differential equations. The problem is reduced to a system of ordinary ...
Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces
This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon ...
Stability of stochastic partial differential equations with infinite delays
In this paper, we study the existence and the asymptotical stability in p-th moment of mild solutions to stochastic partial differential equations with infinite delays {dx(t)=[Ax(t)+f(t,x(t-@t(t)))]dt+g(t,x(t-@d(t)))dW(t),t>=0,x"0(@?)=@x@?D"F"""0^b([m(0)...
On the relationships between G-preinvex functions and semistrictly G-preinvex functions
A new class of functions, termed semistrictly G-preinvex functions, is introduced in this paper. The relationships between semistrictly G-preinvex functions and G-preinvex functions are investigated under mild assumptions. Our results improve and extend ...
Similarity solutions to the power-law generalized Newtonian fluid
The authors of this paper study a second-order nonlinear parabolic equation with a background describing the motion of the power-law generalized Newtonian fluid. The existence of similarity solutions is obtained and the asymptotic behavior of the ...
Group analysis for natural convection from a vertical plate
The steady laminar natural convection of a fluid having chemical reaction of order n past a semi-infinite vertical plate is considered. The solution of the problem by means of one-parameter group method reduces the number of independent variables by one ...
Local bifurcations of critical periods for cubic Liénard equations with cubic damping
Continuing Chicone and Jacobs' work for planar Hamiltonian systems of Newton's type, in this paper we study the local bifurcation of critical periods near a nondegenerate center of the cubic Lienard equation with cubic damping and prove that at most 2 ...
Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations
This paper considers the problem of defining a parameterization (chart) on the group of diffeomorphisms with compact support, motivated primarily by a problem in image registration, where diffeomorphic warps are used to align images. Constructing a ...
Modified subspace limited memory BFGS algorithm for large-scale bound constrained optimization
In this paper, a subspace limited memory BFGS algorithm for solving large-scale bound constrained optimization problems is developed. It is modifications of the subspace limited memory quasi-Newton method proposed by Ni and Yuan [Q. Ni, Y.X. Yuan, A ...
Synchronization of neural networks based on parameter identification and via output or state coupling
For neural networks with all the parameters unknown, we focus on the global robust synchronization between two coupled neural networks with time-varying delay that are linearly and unidirectionally coupled. First, we use Lyapunov functionals to ...
Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems
For the solution of elliptic problems, fractional step methods and in particular alternating directions (ADI) methods are iterative methods where fractional steps are sequential. Therefore, they only accept parallelization at low level. In [T. Lu, P. ...
Some higher-order modifications of Newton's method for solving nonlinear equations
In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be ...
Shape-topology optimization for Navier-Stokes problem using variational level set method
We consider the shape-topology optimization of the Navier-Stokes problem. A new algorithm is proposed based on the variational level set method. By this algorithm, a relatively smooth evolution can be maintained without re-initialization and drastic ...
Application of least square method to arbitrary-order problems with separated boundary conditions
In this paper, differential equations of arbitrary order with separated boundary conditions are converted into an optimal control problem. Then a convergent approximate solution is constructed such that the exact boundary conditions are satisfied. In ...
On derivative estimation and the solution of least squares problems
Surface interpolation finds application in many aspects of science and technology. Two specific areas of interest are surface reconstruction techniques for plant architecture and approximating cell face fluxes in the finite volume discretisation ...
The existence of solutions of infinite boundary value problems for first-order impulsive differential systems in Banach spaces
In this paper, the existence of solutions of infinite boundary value problems for first-order impulsive differential systems is obtained by means of the Schauder fixed point theorem in a Banach space.
Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces
In this paper, by using a monotone iterative technique in the presence of lower and upper solutions, we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. Under ...
Local convergence of inexact methods under the Hölder condition
We study the convergence properties for some inexact Newton-like methods including the inexact Newton methods for solving nonlinear operator equations on Banach spaces. A new type of residual control is presented. Under the assumption that the ...
Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions
This paper investigates the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the ...
Subdivision schemes for the fair discretization of the spherical motion group
We present two subdivision schemes for the fair discretization of the spherical motion group. The first one is based on the subdivision of the 600-cell according to the tetrahedral/octahedral subdivision scheme in [S. Schaefer, J. Hakenberg, J. Warren, ...
Exponential operator splitting time integration for spectral methods
Pseudospectral spatial discretization by orthogonal polynomials and Strang splitting method for time integration are applied to second-order linear evolutionary PDEs. Before such a numerical integration can be used the original PDE is transformed into a ...
Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size
A four-stage Hermite-Birkhoff-Obrechkoff method of order 14 with four quantized variable steps, denoted by HBOQ(14)4, is constructed for solving non-stiff systems of first-order differential equations of the form y^'=f(t,y) with initial conditions y(t"0)...