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PDPTA
2000
13 years 8 months ago
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
A class of singularly perturbed two-point boundary-value problems (BVPs) for second-order ordinary differential equations (DEs) is considered here. In order to obtain numerical sol...
Srinivasan Natesan, Jesús Vigo-Aguiar

Book
814views
15 years 5 months ago
Numerical Computing with MATLAB
"Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, Matlab, and technical computing. The emphasis is on informed use of mathematic...
Cleve Moler
ISMVL
2009
IEEE
94views Hardware» more  ISMVL 2009»
14 years 2 months ago
Floating-Point Numerical Function Generators Using EVMDDs for Monotone Elementary Functions
This paper proposes a design method for floating-point numerical function generators (NFGs) using multi-valued decision diagrams (MDDs). Our method applies to monotone elementary...
Shinobu Nagayama, Tsutomu Sasao, Jon T. Butler
MOC
2010
13 years 2 months ago
Integral deferred correction methods constructed with high order Runge-Kutta integrators
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...
FOCM
2010
100views more  FOCM 2010»
13 years 6 months ago
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
We show how B-series may be used to derive in a systematic way the analytical expressions of the high-order stroboscopic averaged equations that approximate the slow dynamics of h...
P. Chartier, A. Murua, J. M. Sanz-Serna