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ICTAI
2009
IEEE
13 years 5 months ago
A Knowledge-Light Nonlinear Case-Based Reasoning Approach to Radiotherapy Planning
Radiation is often used in prostate cancer treatments. Radiotherapy treatment planning is a complex decision making process. In order to make a patient well, the oncologist has to...
Nishikant Mishra, Sanja Petrovic, Santhanam Sundar
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 6 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
CDC
2009
IEEE
200views Control Systems» more  CDC 2009»
14 years 13 days ago
Control of nonlinear systems with full state constraint using a Barrier Lyapunov Function
— This paper presents a control for state-constrained nonlinear systems in strict feedback form to achieve output tracking. To prevent states from violating the constraints, we e...
Keng Peng Tee, Shuzhi Sam Ge
NAA
2004
Springer
152views Mathematics» more  NAA 2004»
14 years 1 months ago
Volterra Series and Numerical Approximations of ODEs
A numerical approach for solving systems of nonautonomous ordinary differential equations (ODEs) is proposed under suitable assumptions. This approach is based on expansion of the...
Nikolay Kirov, Mikhail Krastanov
SIAMREV
2010
132views more  SIAMREV 2010»
13 years 2 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone