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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Ordinary Differential Equations (G.1.7) > Boundary Value Problems (G.1.7...)  
 
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  1-10 of 37 Reviews about "Boundary Value Problems (G.1.7...)": Date Reviewed
   Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
Zheng Q., Li X., Gao Y. Applied Numerical Mathematics 91(C): 46-59, 2015.  Type: Article

A singularly perturbed boundary-value problem is a boundary-value problem that contains a small parameter whose value cannot be approximated by setting to zero. The one-dimensional singularly perturbed quasilinear convection-diffusion ...

Jul 27 2015
  Numerical solution of a class of singular free boundary problems involving the m-Laplace operator
Morgado L., Lima P. Journal of Computational and Applied Mathematics 234(9): 2838-2847, 2010.  Type: Article

Morgado and Lima deal with the numerical solution of a class of free boundary value problems for a special kind of multi-parametric, nonlinear, second-order ordinary differential equations (ODEs) on a half line. The goal is to find the...

Nov 1 2010
  One-dimensional quantum walks with absorbing boundaries
Bach E., Coppersmith S., Goldschen M., Joynt R., Watrous J. Journal of Computer and System Sciences 69(4): 562-592, 2004.  Type: Article

The analysis of a potential quantum computing device is a difficult subject to investigate, since it involves the study of computational methods from the theoretical viewpoint of quantum physics modeling. Such results provide a theoret...

Apr 20 2005
  Evaluation of singular integrals in the symmetric Galerkin boundary element method
Zhao Z., Yuan W. Advances in Engineering Software 35(12): 781-789, 2004.  Type: Article

The symmetric Galerkin boundary element method is an approach characterized by the use of the standard continuous formulation centered on integral equations, based on the combined use of single-layer and double-layer sources, so that t...

Mar 29 2005
  A Green element method for fourth order ordinary differential equations
Onyejekwe O. Advances in Engineering Software 35(8-9): 517-525, 2004.  Type: Article

The focus of this paper is the application of the Green element method to the solution of boundary value problems for some classes of fourth-order differential equations with positive constant coefficients....

Mar 23 2005
  Dynamic boundary conditions and boundary control for the one-dimensional heat equation
Kumpf M., Nickel G. Journal of Dynamical and Control Systems 10(2): 213-225, 2004.  Type: Article

Let X, ∂X, and U be Banach spaces, called, respectively, the state, the boundary, and the control space. Assume that Amax is a linear, clos...

Jan 17 2005
  A parallel boundary value technique for singularly perturbed two-point boundary value problems
Vigo-aguiar J., Natesan S. The Journal of Supercomputing 27(2): 195-206, 2004.  Type: Article

Vigo-aguiar and Natesan consider the numerical solution of a singularly perturbed, scalar, linear, second order ordinary differential equation (ODE) on [0,1], with linear boundary conditions....

Jun 24 2004
   PMIRKDC: a parallel mono-implicit Runge--Kutta code with defect control for boundary value ODEs
Muir P., Pancer R., Jackson K. Parallel Computing 29(6): 711-741, 2003.  Type: Article

All of the popular methods for solving boundary value problems (BVPs) for systems of ordinary differential equations (ODEs) involve the solution of systems of linear algebraic equations. These systems are large when the BVP involves ma...

Oct 16 2003
  Upper and lower solutions for periodic problems
Yang X. Applied Mathematics and Computation 137(2-3): 413-422, 2003.  Type: Article

The author combines the method of upper and lower solutions with the topological degree and the Miranda fixed point theorem to prove the existence of at least one solution for second order systems: x’(t)=f(t,x(t))
Jun 9 2003
  A BVP solver based on residual control and the Matlab PSE
Kierzenka J., Shampine L. ACM Transactions on Mathematical Software 27(3): 299-316, 2001.  Type: Article

The subject of this paper is the mathematical theory of--and an explanation of the software algorithm to produce--a simple-to-use, all-purpose boundary value problem solver in MATLAB. The background to such solvers is...

Jun 13 2002
 
 
 
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