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Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes

by Antony Jameson, Wolfgang Schmidt, Eli Turkel , 1981
"... A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains. The method has been used to deter ..."
Abstract - Cited by 517 (78 self) - Add to MetaCart
to determine the steady transonic flow past an airfoil using an O mesh. Convergence to a steady state is accelerated by the use of a variable time step determined by the local Courant member, and the introduction of a forcing term proportional to the difference between the local total enthalpy and its free

Theoretical improvements in algorithmic efficiency for network flow problems

by Jack Edmonds, Richard M. Karp - , 1972
"... This paper presents new algorithms for the maximum flow problem, the Hitchcock transportation problem, and the general minimum-cost flow problem. Upper bounds on ... the numbers of steps in these algorithms are derived, and are shown to compale favorably with upper bounds on the numbers of steps req ..."
Abstract - Cited by 560 (0 self) - Add to MetaCart
This paper presents new algorithms for the maximum flow problem, the Hitchcock transportation problem, and the general minimum-cost flow problem. Upper bounds on ... the numbers of steps in these algorithms are derived, and are shown to compale favorably with upper bounds on the numbers of steps

A modular three-dimensional finite-difference ground-water flow model

by Model (michael Mcdonald, Arlen Harbaugh - U.S. Geological Survey Techniques of WaterResources Investigations Book 6, Chapter A1 , 1988
"... The primary objective of this course is to discuss the principals of finite difference methods and their applications in groundwater modeling. The emphasis of the class lectures is on the theoretical aspects of numerical modeling (finite difference method). Steps involved in simulation of groundwate ..."
Abstract - Cited by 508 (5 self) - Add to MetaCart
The primary objective of this course is to discuss the principals of finite difference methods and their applications in groundwater modeling. The emphasis of the class lectures is on the theoretical aspects of numerical modeling (finite difference method). Steps involved in simulation

Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow

by Mathieu Desbrun , Mark Meyer, Peter Schröder, Alan H. Barr , 1999
"... In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating high-fidelit ..."
Abstract - Cited by 542 (23 self) - Add to MetaCart
-fidelity computer graphics objects using imperfectly-measured data from the real world. Our approach contains three novel features: an implicit integration method to achieve efficiency, stability, and large time-steps; a scale-dependent Laplacian operator to improve the diffusion process; and finally, a robust

Stable Fluids

by Jos Stam , 1999
"... Building animation tools for fluid-like motions is an important and challenging problem with many applications in computer graphics. The use of physics-based models for fluid flow can greatly assist in creating such tools. Physical models, unlike key frame or procedural based techniques, permit an a ..."
Abstract - Cited by 568 (9 self) - Add to MetaCart
Building animation tools for fluid-like motions is an important and challenging problem with many applications in computer graphics. The use of physics-based models for fluid flow can greatly assist in creating such tools. Physical models, unlike key frame or procedural based techniques, permit

Myrinet: A Gigabit-per-Second Local Area Network

by Nanette J. Boden, Danny Cohen, Robert E. Felderman, Alan E. Kulawik, Charles L. Seitz, Jakov N. Seizovic, Wen-king Su - IEEE Micro , 1995
"... Abstract. Myrinet is a new type of local-area network (LAN) based on the technology used for packet communication and switching within "massivelyparallel processors " (MPPs). Think of Myrinet as an MPP message-passing network that can span campus dimensions, rather than as a wide-a ..."
Abstract - Cited by 1011 (0 self) - Add to MetaCart
-area telecommunications network that is operating in close quarters. The technical steps toward making Myrinet a reality included the development of (1) robust, 25m communication channels with flow control, packet framing, and error control; (2) self-initializing, low-latency, cut-through switches; (3) host interfaces

Long Short-term Memory

by Sepp Hochreiter, Jürgen Schmidhuber , 1995
"... "Recurrent backprop" for learning to store information over extended time intervals takes too long. The main reason is insufficient, decaying error back flow. We briefly review Hochreiter's 1991 analysis of this problem. Then we overcome it by introducing a novel, efficient method c ..."
Abstract - Cited by 454 (58 self) - Add to MetaCart
called "Long Short Term Memory" (LSTM). LSTM can learn to bridge minimal time lags in excess of 1000 time steps by enforcing constant error flow through internal states of special units. Multiplicative gate units learn to open and close access to constant error flow. LSTM's update

Taverna: A tool for the composition and enactment of bioinformatics workflows

by Tom Oinn, Matthew Addis, Justin Ferris, Darren Marvin, Tim Carver, Matthew R. Pocock, Anil Wipat - Bioinformatics , 2004
"... *To whom correspondence should be addressed. Running head: Composing and enacting workflows using Taverna Motivation: In silico experiments in bioinformatics involve the co-ordinated use of computational tools and information repositories. A growing number of these resources are being made available ..."
Abstract - Cited by 465 (8 self) - Add to MetaCart
community. The tool includes a workbench application which provides a graphical user interface for the composition of workflows. These workflows are written in a new language called the Simple conceptual unified flow language (Scufl), where by each step within a workflow represents one atomic task. Two

Instantaneous Control of Backward-Facing Step Flows

by Haecheon Choi, Michael Hinze, Karl Kunisch , 1997
"... In the present paper suboptimal boundary control strategies for the time-dependent, incompressible flow over the backward-facing step are considered. The objective consists in the reduction of the recirculation bubble of the flow behind the step. Several cost functionals are suggested and a frame fo ..."
Abstract - Cited by 16 (2 self) - Add to MetaCart
In the present paper suboptimal boundary control strategies for the time-dependent, incompressible flow over the backward-facing step are considered. The objective consists in the reduction of the recirculation bubble of the flow behind the step. Several cost functionals are suggested and a frame

Breakdown of step-flow growth in unstable homoepitaxy

by J. Kallunki, J. Krug , 2004
"... PACS. 81.10.Aj – Theory and models of crystal growth. PACS. 68.55.Ac – Nucleation and growth: microscopic aspects. PACS. 05.70.Ln – Nonequilibrium and irreversible thermodynamics. Abstract. – Two mechanisms for the breakdown of step flow growth, in the sense of the appearance of steps of opposite si ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
PACS. 81.10.Aj – Theory and models of crystal growth. PACS. 68.55.Ac – Nucleation and growth: microscopic aspects. PACS. 05.70.Ln – Nonequilibrium and irreversible thermodynamics. Abstract. – Two mechanisms for the breakdown of step flow growth, in the sense of the appearance of steps of opposite
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