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» Analysis of Discrete Adjoints for Upwind Numerical Schemes
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MSV
2007
13 years 6 months 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 5 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 5 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 5 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 3 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