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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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MOC
2002
83views more  MOC 2002»
13 years 5 months ago
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case
A new upper bound is provided for the L-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. T...
Samuel Albert, Bernardo Cockburn, Donald A. French...
MOC
1998
94views more  MOC 1998»
13 years 5 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman
MOC
1998
94views more  MOC 1998»
13 years 5 months ago
Numerical calculation of the multiplicity of a solution to algebraic equations
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the m...
Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai
JCAM
2011
91views more  JCAM 2011»
12 years 9 months ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby

Publication
519views
12 years 4 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi