Temporal vs. spatial formulation of autonomous overtaking algorithms

2016 ◽  
Author(s):  
Johan Karlsson ◽  
Nikolce Murgovski ◽  
Jonas Sjoberg
Keyword(s):  
Spatial Formulation

Natural transition in transonic flows using an efficient temporal/spatial formulation

1996 ◽  
Vol 33 (5) ◽  
pp. 931-937 ◽  
Author(s):  
Christian Masson ◽  
Robert Martinuzzi ◽  
Mohsen Mirshams ◽  
Ion Paraschivoiu
Keyword(s):  
Transonic Flows ◽  
Spatial Formulation

THE HISTORIC PRISONER'S DILEMMA

1999 ◽  
Vol 09 (06) ◽  
pp. 1197-1210 ◽  
Author(s):  
RAMÓN ALONSO-SANZ
Keyword(s):  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Spatial Formulation

The effect of considering previous results (history) in the spatial formulation of the Prisoner's Dilemma is assessed. It is concluded that history protects homogeneous populations against the irruption of mutant behavior.

scholarly journals MAXIMAL USING OF SPECIFICS OF SOME BOUNDARY PROBLEMS IN POTENTIAL THEORY AFTER THEIR NUMERICAL ANALYSIS

2014 ◽  
pp. 149-156
Author(s):  
L. I. Mochurad ◽  
Y. S. Harasym ◽  
B. A. Ostudin
Keyword(s):  
Numerical Analysis ◽  
Potential Theory ◽  
Integral Equation Method ◽  
Problem Solution ◽  
Spatial Problem ◽  
Open Surface ◽  
Eighth Order ◽  
Boundary Problems ◽  
Parallel Processes ◽  
Spatial Formulation

Some typical problems in the numerical analysis of certain types of boundary value problems of the potential theory in substantially spatial formulation are considered. On the basis of the integral equation method (IE) an approximate scheme of solving one model example is built and investigated. It is also considered that the doubly connected open surface where boundary conditions are set obtains the Abelian group of symmetry of the eighth order. This article shows how using the apparatus of the group theory it is possible to solve an initial problem by the help of the sequence of the eight independent IEs, where the integration is realized only on one of the congruent constituents of the surface. It creates the conditions for two parallel processes of problem solution in general. The collocation method for obtaining approximate values of needed “density of charge distribution” in the particular two-dimensional integral equations is used. To take into account the singular way of solving the problem in the circuit of the open surface the a posteriori method of error evaluation is created and the procedure of integrating clarification of solving the task in the mesh node is implemented. To prove the reliability and estimation of the technique efficiency the number of numerical experiments is carried out including the use of so called “plane” approximation of the examined spatial problem.

Large Elasto-Plastic Deformations of Work-Hardening Metal Alloys

1984 ◽  
Vol 8 (2) ◽  
pp. 77-83
Author(s):  
G.Z. Voyiadjis ◽  
S. Navaee
Keyword(s):  
Thick Plate ◽  
Large Deformations ◽  
Metal Alloys ◽  
The Finite Element Method ◽  
Plastic Deformations ◽  
Numerical Examples ◽  
Concentration Problem ◽  
Moderately Thick Plate ◽  
Aluminum Alloy 2024 ◽  
Spatial Formulation

The work outlined in this research demonstrates the applicability and effectiveness of the elasto-plastic model presented by the First author in [1] in solving complex (i.e., any shape and any deformation) finite deformation problems. The use of the Lagrangian formulation in this work eliminates the controversy regarding the choice of the appropriate co-rotational stress rate, and provides a more convenient theory than the more common spatial formulation. The aluminum alloy 2024 is used in this work as it closely displays the properties outlined by the proposed constitutive equations [1]. The problem of analysis of displacements, stresses, and strains in elements made of this material subject to arbitrarily large deformations under the conditions of plane strain or plane stress is formulated in terms of the finite element method. Numerical examples include the bending of a moderately thick plate and the stress concentration problem of a plate with a hole subjected to an uniform uniaxial loading. Experimental verification is provided for the bending of the moderately thick plate.

MEMORY BOOSTS COOPERATION IN THE STRUCTURALLY DYNAMIC PRISONER'S DILEMMA

2009 ◽  
Vol 19 (09) ◽  
pp. 2899-2926 ◽  
Author(s):  
RAMÓN ALONSO-SANZ
Keyword(s):  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Iterated Prisoner's Dilemma ◽  
Historic Memory ◽  
Spatial Formulation ◽  
Iterated Prisoner’S Dilemma

In the conventional spatial formulation of the iterated prisoner's dilemma, only the results generated in the last round are taken into account in deciding the next choice. Historic memory of past iterations can be taken into account by featuring players by a summary of their previous winnings and choices. The effect of such a memory implementation when the players are allowed to follow a simple full-deterministic structurally coevolving dynamic is assessed in this work.

THE HISTORIC–STOCHASTIC STRATEGIST

2001 ◽  
Vol 11 (07) ◽  
pp. 2037-2050 ◽  
Author(s):  
RAMÓN ALONSO-SANZ ◽  
M. CARMEN MARTÍN ◽  
MARGARITA MARTÍN
Keyword(s):  
Prisoner's Dilemma ◽  
Evolutionary Dynamics ◽  
Prisoner’S Dilemma ◽  
One Dimensional ◽  
Historic Memory ◽  
Asynchronous Updating ◽  
Probabilistic Context ◽  
Spatial Formulation

The basic aim of this paper is to extend earlier work on assessing the effect of considering previous results (history) in the evolutionary dynamics of the spatial formulation of the Prisoner's Dilemma when players follow one-dimensional strategies. The historic strategist models considered before were deterministic, so the choices were fixed by the strategies in an automatic way. In the present work the strategies do not fix the choices but their probabilities. Both synchronous and asynchronous updating schemes have been taken into account. It is concluded here that the essential results found in the deterministic scenario remain valid in a probabilistic context: historic memory tends to favor the main features of the initial scenario.

THE EFFECT OF MEMORY IN THE SPATIAL CONTINUOUS-VALUED PRISONER'S DILEMMA

2001 ◽  
Vol 11 (08) ◽  
pp. 2061-2083 ◽  
Author(s):  
RAMÓN ALONSO-SANZ ◽  
M. CARMEN MARTÍN ◽  
MARGARITA MARTÍN
Keyword(s):  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Fuzzy Model ◽  
Fuzzy Models ◽  
Spatial Formulation

The standard spatial formulation of the Prisoner's Dilemma is a historic (memoryless, i.e. only results generated in the last round are taken into account in deciding the next choice), and binary (players are confined to fully cooperating or defecting). The spatial historic model admitting intermediate degrees of cooperation (fuzzy model) is studied in this work. Comparisons are made between the binary and fuzzy models. The effect of errors and discounting is also assessed.

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