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Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh
In this article, we construct a numerical method to solve a two-parameter singularly perturbed problem in two dimensions on a tensor product mesh of...
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Differential Equations
Rate equations, like the SIR equations from Chapter 1, are often also called differential equations. Differential equations are essential tools in... -
First Results for Planar Continuous Systems with Three Zones
In this chapter, we consider Liénard systems with three linear zones ( 2.5 ) satisfying (... -
GPU-native Dynamic Octree-based Grid Adaptation to Moving Bodies
AbstractThe present paper is devoted to the development of algorithms for dynamic grid adaptation to the geometry of an immersed moving rigid body...
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Constraint generation approaches for submodular function maximization leveraging graph properties
Submodular function maximization is an attractive optimization model and also a well-studied problem with a variety of algorithms available....
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Arithmetic and Combinatorics of Recurrent Sequences
AbstractThe arithmetic properties of integer sequences responsible for the number of tiling rings divided into a finite number of identical cells...
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Predicting the Infection Level of COVID-19 Virus Using Normal Distribution-Based Approximation Model and PSO
The infectious disease brought on by COVID-19 is the pandemic that has put the lives and economy of the entire planet in jeopardy. The only... -
Scheduling jobs with general linear deterioration to minimize total weighted number of late jobs
This paper deals with a single-machine scheduling problem with a general linear deterioration effect. The goal is to determine the job schedule such...
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A Hierarchical Roofline-based Benchmarking System for Detecting Performance Bottlenecks in Modern Processors
AbstractWith the regular appearance of new multi-core processors, it is extremely important to detect strengths and weaknesses of developed hardware...
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Output Feedback Sliding Mode Control for a Class of Uncertain Multivariable Systems with Unmatched Nonlinear Disturbances
In this chapter, an output-feedback sliding mode (OFSM) controller for a class of multi-input-multi-output (MIMO) uncertain nonlinear systems is... -
Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes
In Hilbert’s absolute geometry, among all triangles containing a given circle, the least perimeter and the least area are attained by the equilateral...
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An Econometric Analysis of Drawdown Based Measures
In this chapter, we discuss two risk measures based on drawdown process and closely related to market crises: the drawdown of a fixed level and the... -
Systeme quadratischer Gleichungen
Die einfachsten Gleichungssysteme mit zwei Unbekannten bestehen aus zwei linearen Gleichungen. -
Upper Bounds for ‖A−1Q‖∞
The paper suggests a general approach to deriving upper bounds for ‖ A −1 Q ‖ ∞ from those for ‖ A −1 ‖ ∞ for matrices A belonging to different subclasses of...
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MIP Heuristics for a Resource Constrained Project Scheduling Problem with Workload Stability Constraints
We address a variation of the multi-skill resource-constrained project scheduling problem motivated by the need to find a quality schedule for the... -
Efficient smooth minorants for global optimization of univariate functions with the first derivative satisfying the interval Lipschitz condition
In 1998, the paper Sergeyev (Math Program 81(1):127–146, 1998) has been published where a smooth piece-wise quadratic minorant has been proposed for...
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Approximation Algorithms for Two-Machine Proportionate Routing Open Shop on a Tree
The routing open shop problem is a natural generalization of the open shop problem and the metric traveler salesman problem. Jobs are located at the... -
An artificial viscosity augmented physics-informed neural network for incompressible flow
Physics-informed neural networks (PINNs) are proved methods that are effective in solving some strongly nonlinear partial differential equations...