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Path Lookahead: a Data Flow View of PDES Models
 in Proceedings of the Workshop on Parallel and Distributed Simulation (PADS
, 1999
"... The performance of parallel discrete event simulation protocols is heavily dependent on the lookahead of the simulation model. Identifying and expressing correct lookahead for a model isn't easy, nor is it a welldefined process. In this paper, a global view of a PDES model as a set of data fl ..."
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Cited by 20 (0 self)
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The performance of parallel discrete event simulation protocols is heavily dependent on the lookahead of the simulation model. Identifying and expressing correct lookahead for a model isn't easy, nor is it a welldefined process. In this paper, a global view of a PDES model as a set of data
PDEs with Uncertainty
, 2015
"... Looking at the history of numerical methods in CFD, many years have been spent in improving the modelling: 1D → 2D → 3D steady → unsteady laminar flow → turbulence modelling → large eddy simulation simple geometries (an airfoil) → complex geometries (an aircraft) new features such as combustion, fl ..."
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, 2015 2 / 34 PDEs with Uncertainty There is now a big move towards handling uncertainty: uncertainty in modelling parameters uncertainty in geometry uncertainty in initial conditions uncertainty in spatiallyvarying material properties inclusion of stochastic source terms Engineering wants to move
Tensor Field Interpolation with PDEs
, 2005
"... We present a unified framework for interpolation and regularisation of scalar and tensorvalued images. This framework is based on elliptic partial differential equations (PDEs) and allows rotationally invariant models. Since it does not require a regular grid, it can also be used for tensorvalued ..."
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Cited by 16 (8 self)
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We present a unified framework for interpolation and regularisation of scalar and tensorvalued images. This framework is based on elliptic partial differential equations (PDEs) and allows rotationally invariant models. Since it does not require a regular grid, it can also be used for tensor
Nonlinear PDEs and Numerical Algorithms for Modeling
 Levelings and Reconstruction Filters,” ScaleSpace Theories in Computer Vision, Lecture Notes in Computer Science 1682
, 1999
"... Abstract. In this paper we develop partial differential equations (PDEs) that model the generation of a large class of morphological filters, the levelings and the openings/closings by reconstruction. These types of filters are very useful in numerous image analysis and vision tasks ranging from enh ..."
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Cited by 14 (5 self)
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Abstract. In this paper we develop partial differential equations (PDEs) that model the generation of a large class of morphological filters, the levelings and the openings/closings by reconstruction. These types of filters are very useful in numerous image analysis and vision tasks ranging from
Validated continuation for equilibria of PDEs
 SIAM J. Numer. Anal
, 1989
"... Abstract. One of the most efficient methods for determining the equilibria of a continuous parameterized family of differential equations is to use predictorcorrector continuation techniques. In the case of partial differential equations this procedure must be applied to some finite dimensional app ..."
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Cited by 13 (3 self)
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can be used to explicitly define a set which contains a unique equilibrium for the infinite dimensional partial differential equation. Using the CahnHilliard and SwiftHohenberg equations as models we demonstrate that the cost of this new validated continuation is less than twice the cost
Martingales versus PDEs in Finance: . . .
, 2000
"... We provide a set of verifiable su±cient conditions for proving in a number of practical examples the equivalence of the martingale and the PDE approaches to the valuation of derivatives. The key idea is to use a combination of analytic and probabilistic assumptions that covers typical models in fin ..."
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We provide a set of verifiable su±cient conditions for proving in a number of practical examples the equivalence of the martingale and the PDE approaches to the valuation of derivatives. The key idea is to use a combination of analytic and probabilistic assumptions that covers typical models
The PDEs of biorthogonal polynomials . . .
, 2004
"... The twomatrix model can be solved by introducing biorthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of biorthogonal polynomials (called windows) satisfy polynomial ODEs as well as deformation equations (PDEs) and finite difference equations (∆E) ..."
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Cited by 1 (0 self)
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The twomatrix model can be solved by introducing biorthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of biorthogonal polynomials (called windows) satisfy polynomial ODEs as well as deformation equations (PDEs) and finite difference equations (∆E
The PDEs of biorthogonal polynomials arising in . . .
, 2003
"... The twomatrix model can be solved by introducing biorthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of biorthogonal polynomials (called windows) satisfy polynomial ODEs as well as deformation equations (PDEs) and finite difference equations (∆E) ..."
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Cited by 1 (0 self)
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The twomatrix model can be solved by introducing biorthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of biorthogonal polynomials (called windows) satisfy polynomial ODEs as well as deformation equations (PDEs) and finite difference equations (∆E
Relaxing causal constraints in pdes
 In Proceeding of the 13th International Parallel Processing Symposium (IPPS/SPDP '99
, 1999
"... One of the major overheads that prohibits the wide spread deployment of parallel discrete event simulation (PDES) is the need to synchronize the distributed processes in the simulation. Considerable investigations have been conducted to analyze and optimize the two widely used synchronization strate ..."
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Cited by 3 (1 self)
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One of the major overheads that prohibits the wide spread deployment of parallel discrete event simulation (PDES) is the need to synchronize the distributed processes in the simulation. Considerable investigations have been conducted to analyze and optimize the two widely used synchronization
Systematization of approaches . . . Stabilization Of Pdes
, 2006
"... While adaptive control of finite dimensional systems is an advanced field that has produced adaptive control methods for a very general class of LTI systems, adaptive control techniques have been developed for only a few of the classes of PDEs for which nonadaptive controllers exist. We present a c ..."
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While adaptive control of finite dimensional systems is an advanced field that has produced adaptive control methods for a very general class of LTI systems, adaptive control techniques have been developed for only a few of the classes of PDEs for which nonadaptive controllers exist. We present a
Results 1  10
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