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MMAS
2011
Springer
12 years 10 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
VALUETOOLS
2006
ACM
162views Hardware» more  VALUETOOLS 2006»
14 years 1 months ago
Fast solvers for queueing systems with negative customers
In this paper, we are interested in solving Markovian queueing systems having Poisson batch arrivals, exponential servers and negative customers. Preconditioned conjugate gradient...
You-Wei Wen, Wai-Ki Ching, Michael K. Ng
QEST
2008
IEEE
14 years 1 months ago
Quasi-Birth-Death Processes, Tree-Like QBDs, Probabilistic 1-Counter Automata, and Pushdown Systems
We begin by observing that (discrete-time) QuasiBirth-Death Processes (QBDs) are equivalent, in a precise sense, to (discrete-time) probabilistic 1-Counter Automata (p1CAs), and b...
Kousha Etessami, Dominik Wojtczak, Mihalis Yannaka...