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CORR
2010
Springer
64views Education» more  CORR 2010»
13 years 2 months ago
Dual Formulations of Mixed Finite Element Methods
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different varia...
Andrew Gillette, Chandrajit L. Bajaj
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 5 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
VMCAI
2010
Springer
14 years 2 months ago
Building a Calculus of Data Structures
Abstract. Techniques such as verification condition generation, preditraction, and expressive type systems reduce software verification to proving formulas in expressive logics. Pr...
Viktor Kuncak, Ruzica Piskac, Philippe Suter, Thom...
PLDI
2009
ACM
14 years 6 days ago
Analyzing recursive programs using a fixed-point calculus
We show that recursive programs where variables range over finite domains can be effectively and efficiently analyzed by describing the analysis algorithm using a formula in a ...
Salvatore La Torre, Parthasarathy Madhusudan, Genn...
PODS
2010
ACM
205views Database» more  PODS 2010»
13 years 10 months ago
Positive higher-order queries
We investigate a higher-order query language that embeds operators of the positive relational algebra within the simply-typed λ-calculus. Our language allows one to succinctly de...
Michael Benedikt, Gabriele Puppis, Huy Vu