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Test Problems of Gas Suspension Dynamics Using Asymptotically Exact Solutions
AbstractAsymptotically exact solutions of Riemann problems are constructed under the assumption of small scales of dynamic and thermal relaxations of...
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A test instance generator for multiobjective mixed-integer optimization
Application problems can often not be solved adequately by numerical algorithms as several difficulties might arise at the same time. When develo**...
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Test Problems on the Compression of Spherical Layered Systems by Shock Waves
AbstractAt present, numerical modeling is the main, and often the only, tool for a detailed description of some physical phenomena in the research of...
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A model specification test for nonlinear stochastic diffusions with delay
This paper investigates model specification problems for nonlinear stochastic differential equations with delay (SDDE). Compared to the model...
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Fixed-Point Methods in Optimization Problems for Control Systems
In this paper, we consider a new approach to optimization of nonlinear control systems based on the representation of optimality conditions and...
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Nonlinear Problems
The goal of this chapter is to introduce nonlinear problems – i.e., problems whose solution does not depend linearly on the data. We will restrict...
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A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems
The purpose of this article is to suggest a modified subgradient extragradient method that includes double inertial extrapolations and viscosity...
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Obstacle Problems
In this chapter, we study obstacle problems for nonlocal elliptic operators. In order to do so, we first prove the boundary Harnack inequality for...
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Comparison of the Computational Efficiency of Gradient-Type Methods in Optimal Control Problems
Estimating of the efficiency of iterative methods is determined by results of computational experiments on solving typical test and applied problems....
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A Parallel “Go with the Winners” Algorithm for Some Scheduling Problems
AbstractWe consider an approach to solving permutation scheduling problems using graphics accelerators. A parallel evolutionary algorithm based on...
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Combining discrete and continuous information for multi-criteria optimization problems
In multi-criteria optimization problems that originate from real-world decision making tasks, we often find the following structure: There is an...
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Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
We are concerned with global solutions of multidimensional (M-D) Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on...
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Stiff Problems
In some cases, the choice of the numerical method to be used is driven by some features of the problems itself, which have to properly be taken into...
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The Method of Optical Paths for the Numerical Solution of Integrated Photonics Problems
AbstractA number of topical problems of integrated photonics are reduced to oblique incidence of radiation on a plane-parallel scatterer. For such...
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A flexible objective-constraint approach and a new algorithm for constructing the Pareto front of multiobjective optimization problems
In this article, a novel scalarization technique, called the improved objective-constraint approach, is introduced to find efficient solutions of a...
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Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems
The growing availability and usage of low precision floating point formats attracts many interests of develo** lower or mixed precision algorithms...
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A Novel Domain Decomposition Method for Eigenvalue Problems
A novel domain decomposition method is proposed in this paper to solve eigenvalue problems. Both the simple and multiple eigenvalues are considered...
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Multi-step inertial algorithms for equilibrium, fixed point, general systems of variational inequalities and split feasibility problems
In this paper, we present two novel multi-step inertial iterative methods to approximate a common element that combines equilibrium problems with...
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Improved shuffled Frog lea** algorithm with unsupervised population partitioning strategies for complex optimization problems
Shuffled Frog lea** algorithm (SFLA) is a multi population swarm intelligence algorithm which employs population partitioning techniques during the...
