Search Results - Error bounds for initial value and initial-boundary value problems involving PDEs

MIXED INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIC LINEAR HYPERBOLIC EQUATIONS by SHULMAN, HAROLD

Get full text

FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

Get full text

Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems by Guimarães, Osvaldo, Piqueira, José Roberto Castilho

“…This work develops a computational approach for boundary and initial-value problems by using operational matrices, in order to run an evolutive process in a Hilbert space…”
Get full text

Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation by Esser, H., Goebbels, St.J., Lüttgens, G., Nessel, R.J.

“…For an initial boundary value problem of the inhomogeneous heat equation, the present paper studies the sharpness of error bounds, obtained for approximate solutions via the Crank-Nicolson and Saulyev…”
Get full text

Approximate Solutions and Error Bounds for Quasi-Linear Hyperbolic Initial Boundary Value Problems by Cheung, To-Yat

“…) are formulated, making use of a minimum principle of the hyperbolic equation. Approximate solutions and two error bounds of the given initial boundary value problem…”
Get full text

Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation: Concrete analysis by ESSER, H, GOEBBELS, S. J, LÜTTGENS, G, NESSEL, R. J

Get full text

Quasilinear Parabolic Boundary Value Problems. Approximate Solutions and Error Bounds by Linear Programming by Cheung, To-Yat

“… Approximate solutions and three error bounds can be obtained by solving these minimization problems by linear programming and discretization techniques…”
Get full text

The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error by Carpenter, Mark H., Gottlieb, David, Abarbanel, Saul, Don, Wai-Sun

“… Two methods of eliminating this problem are proposed for the linear constant coefficient case. 1…”
Get full text

A Posteriori Error Bounds for Two-Point Boundary Value Problems by Kedem, Gershon

“…Consider a general two-point boundary value problem (TPBVP): $y'(t) = f(t, y),\quad a \leqq t \leqq b,$ B1y(a) + B2y(b) = w, where f: Rn + 1 → Rn, f ∈ C2, B1 and B2 are n…”
Get full text

Computable a Posteriori L∞-Error Bounds for the Approximate Solution of Two-Point Boundary Value Problems by McCarthy, Mary Anne, Tapia, R. A.

“… c1-approximations to the solution and its derivative of the nonlinear two-point boundary value problem and computable upper bounds for the L…”
Get full text

A simple NSC-RKHS algorithm for solving linear boundary value problems – Error bounds and implementations by Andrzejczak, Grzegorz

“… The paper presents a reproducing kernel Hilbert space approach to the method, that gives rise to basic error inequalities…”
Get full text

On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations by Büttgenbach, B., Esser, H., Nessel, R. J.

“…For linear two-point boundary value problems of ordinary differential equations, some convergence properties of approximate solutions Y h obtained by standard finite difference schemes on uniform grids are discussed…”
Get full text

A Posteriori Error Bounds for Two Point Boundary Value Problems: A Green's Function Approach by Birrell, Jeremiah

“…We present a computer assisted method for generating existence proofs and a posteriori error bounds for solutions to two point boundary value problems (BVPs…”
Get full text

Estimated error bounds for finite element solutions of elliptic boundary value problems by Mashaie, A., Hughes, E., Goldak, J.

“…A new error estimate is introduced which adds to the theory of error bounds. First, the statistically (SAS…”
Get full text

COMPUTABLE ERROR BOUNDS FOR A NONLINEAR TWO-POINT BOUNDARY-VALUE PROBLEM by HANSEN, DANIEL LEE

Get full text

Approximations and Error Bounds for Boundary Value Problems in Ordinary Differential Equations by Gladwell, Ian

“…In this thesis we consider two distinct problems. After a short introductory chapter, we derive a-posteriori error bounds for approximate solutions of linear second order differential equations with a variety of boundary conditions…”
Get full text

ERROR-BOUNDS FOR THE SOLUTION OF TWO-POINT BOUNDARY-VALUE PROBLEMS BASED ON THE KANTOROVICH THEOREM by MCCARTHY, MARY ANNE

Get full text

Approximate Solution and Error Bounds for Quasi-Linear Elliptic Boundary Value Problems by Rosen, J. B.

“… boundary. A realistic error bound is obtained together with the solution for any value of m, and convergence as m…”
Get full text

Improved error bounds for freezing solutions of linear boundary value problems by Qu, Ruibin, Agarwal, Ravi P.

“…For the error in the freezing solutions of linear boundary value problems we obtain a bound which is sharper than that obtained recently by Shahruz and Schwartz [Appl. Math. Comput. 60 (1994) 285; Comput. Math. Appl. 28 (1994) 75…”
Get full text

Error bounds estimate of nonlinear boundary value problems using method of weighted residuals with genetic algorithms by Lin, Jin-Mu, Chen, Cha’o-Kuang

“…An error bounds estimate procedure to solve the nonlinear boundary value problem of differential equations is presented in this paper…”
Get full text