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» Analysis of Discrete Adjoints for Upwind Numerical Schemes
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MSV
2007
14 years 8 days ago
Analysis of a Numerical Scheme for Bioheat Simulations of Cryosurgery and its Experimental Validation on a Phantom Material
- As part of an ongoing effort to develop computerized planning tools for cryosurgery, the current study focuses on validating a numerical technique for bioheat transfer simulation...
Michael R. Rossi, Yoed Rabin
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 10 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
AMC
2006
94views more  AMC 2006»
13 years 11 months ago
Error analysis of a specialized numerical method for mathematical models from neuroscience
The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience a...
Jiyeon Oh, Donald A. French
CAGD
2006
113views more  CAGD 2006»
13 years 11 months ago
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface. Suppose the...
Guoliang Xu

Publication
216views
12 years 9 months ago
The Geometry of Time-Stepping
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Claudio Mattiussi