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In this paper we consider a fully third order nonlinear boundary value problem which is of great interest of many researchers. First we establish the existence, uniqueness of solution. Next, we propose simple iterative methods on both…

Numerical Analysis · Mathematics 2020-04-24 Dang Quang A , Dang Quang Long

This report presents a low computational and cognitive complexity, stable, time accurate and adaptive method for the Navier-Stokes equations. The improved method requires a minimally intrusive modification to an existing program based on…

Numerical Analysis · Mathematics 2019-02-01 Victor DeCaria , William Layton , Haiyun Zhao

We consider flow rounding: finding an integral flow from a fractional flow. Costed flow rounding asks that we find an integral flow with no worse cost. Randomized flow rounding requires we randomly find an integral flow such that the…

Data Structures and Algorithms · Computer Science 2015-07-30 Donggu Kang , James Payor

Motion planning for underwater vehicles must consider the effect of ocean currents. We present an efficient method to compute reachability and cost between sample points in sampling-based motion planning that supports long-range planning…

Robotics · Computer Science 2020-05-11 Kwun Yiu Cadmus To , Ki Myung Brian Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch

A dynamic sieve method is designed according to the basic sieve method. It mainly refers to the symbolic dynamics theory. By this method, we could connect the prime system with familiar 'Logistic Mapping'. An interesting discovery is that…

Dynamical Systems · Mathematics 2007-05-23 Wang Liang , Huang Yan

In this paper, C1-conforming element methods are analyzed for the stream function formulation of a single layer non-stationary quasi-geostrophic equation in the ocean circulation model. In its first part, some new regularity results are…

Numerical Analysis · Mathematics 2024-11-19 Dohyun Kim , Amiya K. Pani , Eun-Jae Park

We present two deductively equivalent calculi for non-deterministic many-valued logics. One is defined by axioms and the other - by rules of inference. The two calculi are obtained from the truth tables of the logic under consideration in a…

Logic in Computer Science · Computer Science 2023-06-22 Michael Kaminski

The unsupervised task of aligning two or more distributions in a shared latent space has many applications including fair representations, batch effect mitigation, and unsupervised domain adaptation. Existing flow-based approaches estimate…

Machine Learning · Computer Science 2022-03-17 Zeyu Zhou , Ziyu Gong , Pradeep Ravikumar , David I. Inouye

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approximate approach is offerred that effectively propagates the statistics in time. Loss of…

Fluid Dynamics · Physics 2007-05-23 Edsel A. Ammons

Consider a transportation problem with sets of sources and sinks. There are profits and prices on the edges. The goal is to maximize the profit while meeting the following constraints; the total flow going out of a source must not exceed…

Data Structures and Algorithms · Computer Science 2013-02-26 S. Kapoor , M. Sarwat

Expectiles are statistical parameters which also provide a class of sublinear risk measures in finance. They are solutions of continuous optimization problems. The corresponding first order condition provides two different fixed point…

Statistics Theory · Mathematics 2025-09-03 Thi Khanh Linh Ha , Andreas Heinrich Hamel , Daniel Kostner

First-order logic is typically presented as the study of deduction in a setting with elementary quantification. In this paper, we take another vantage point and conceptualize first-order logic as a linear space that encodes "plausibility".…

Logic in Computer Science · Computer Science 2020-01-31 Daniel Huang

Motion planning for vehicles under the influence of flow fields can benefit from the idea of streamline-based planning, which exploits ideas from fluid dynamics to achieve computational efficiency. Important to such planners is an efficient…

Robotics · Computer Science 2021-03-24 K. Y. Cadmus To , Chanyeol Yoo , Stuart Anstee , Robert Fitch

In an online decision problem, one makes decisions often with a pool of decision sequence called experts but without knowledge of the future. After each step, one pays a cost based on the decision and observed rate. One reasonal goal would…

Machine Learning · Computer Science 2015-12-23 Chunyang Xiao

A logic is defined that allows to express information about statistical probabilities and about degrees of belief in specific propositions. By interpreting the two types of probabilities in one common probability space, the semantics given…

Artificial Intelligence · Computer Science 2013-02-28 Manfred Jaeger

We present a modification of the superposition calculus that is meant to generate consequences of sets of first-order axioms. This approach is proven to be sound and deductive-complete in the presence of redundancy elimination rules,…

Logic in Computer Science · Computer Science 2014-07-15 Mnacho Echenim , Nicolas Peltier

In this second part of the work, we correct the flaw which was left in the proof of the main Theorem in the first part. This affects only a small part of the text in this first part and two consecutive papers. Yet, some additional arguments…

Classical Analysis and ODEs · Mathematics 2017-10-02 Giedrius Alkauskas

A method is presented for calculating solutions to differential equations analytically for a variety of problems in physics. An iteration procedure based on the recently proposed BLUES (Beyond Linear Use of Equation Superposition) function…

Pattern Formation and Solitons · Physics 2020-12-09 Jonas Berx , Joseph O. Indekeu

This paper presents a conforming finite element discretization of the streamfunction formulation of the one-layer stationary quasi-geostrophic equations, which are a commonly used model for the large scale wind- driven ocean circulation.…

Numerical Analysis · Mathematics 2014-11-05 Erich L Foster , Traian Iliescu , Zhu Wang

From this set of procedures for given clause we shall choose only interrogation of experts on pairs decisions. It is widely widespread method. It makes the whole chapter in the theory of the decision-making, well investigated with the…

Optimization and Control · Mathematics 2010-03-05 V. Zhukovin , N. Chkhikvadze , Z. Alimbarashvili
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