137views Control Systems» more  CDC 2010»
12 years 10 months ago
On the uniform input-to-state stability of reaction-diffusion systems
Abstract— In the present paper we consider uniform inputto-state stability of reaction-diffusion equations and compare it with its finite dimensional counterpart without diffusi...
Sergey Dashkovskiy, Andrii Mironchenko
235views more  NA 2010»
13 years 1 months ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh
153views more  NA 2010»
13 years 4 months ago
Verified error bounds for multiple roots of systems of nonlinear equations
It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
Siegfried M. Rump, Stef Graillat
168views more  AMC 2008»
13 years 5 months ago
A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule
Darvishi and Barati [M.T. Darvishi, A. Barati, Super cubic iterative methods to solve systems of nonlinear equations,
D. K. R. Babajee, M. Z. Dauhoo, M. T. Darvishi, A....
115views more  SIAMJO 2002»
13 years 6 months ago
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
Alexey F. Izmailov, Mikhail V. Solodov
147views more  TSMC 2008»
13 years 6 months ago
A New Approach for Solving Nonlinear Equations Systems
This paper proposes a new perspective for solving systems of complex nonlinear equations by simply viewing them as a multiobjective optimization problem. Every equation in the syst...
Crina Grosan, Ajith Abraham
167views more  CAGD 2006»
13 years 6 months ago
Discrete surface modelling using partial differential equations
We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form sur...
Guoliang Xu, Qing Pan, Chandrajit L. Bajaj
14 years 1 days ago
Surface Modelling Using Fourth Order Geometric Flows
We use two fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including the surface blending, the N-sided hole fillin...
Guoliang Xu, Qing Pan

Lecture Notes
15 years 4 months ago
Computational Physics
Easy to follow lecture notes on Computational Physics.
Alexander L. Godunov