North-Eastern Federal University
Belinskiy, Russia

North-Eastern Federal University, previously known as Yakutsk State University, is a school for higher learning in Yakutsk, Siberia. It is the largest institution of higher learning in the north east of Russia.Full nameFederal State Autonomous Educational Institution of Higher Professional Education "M. K. Ammosov North-Eastern Federal University"Brief nameNorth-Eastern Federal University . Wikipedia.

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News Article | March 30, 2016

Hunters in search for mammoth tusks were in awe after finding two preserved Ice Age puppies in Yakutia, Northeast Russia. Dating back to more than 12,000 years ago, these may have been the first domesticated dogs. The hunters discovered the first pup in 2011 and in 2015, another pup was found near the location where the first one was found. "To find a carnivorous mammal intact with skin, fur and internal organs - this has never happened before in history," Sergey Fyodorov of the North-Eastern Federal University (NEFU), said. When the hunters informed him of their discovery, he immediately flew into the area to get a closer look. A previous study showed that domesticated dogs originally came from Southeast Asia many years ago. The researchers suggested that the canines may have migrated out of Asia to Africa and the Middle East, and eventually, in Europe. Other scientists, however, claim that the man's best friend came from Mongolia. When researchers analyzed the DNA of dogs, it suggests that these dogs did not originate from Europe, Southern China or the Middle East as previously thought. The dogs may have originated from Mongolia or Nepal. NEFU scientists, for the first time, extracted a well-preserved brain of the two puppies found in the Arctic tundra. Dubbed Tumat dogs, the two puppies lived in the Pleistocene era. Fyodorov said that some of the mammoth remains also found in the area were burned and butchered, suggesting the presence of humans during that era. It is still unclear, however, if these puppies were wild or domesticated. The scientists are still not sure if these dogs became human companions, since they were taken in or if wolves drifted to human sites in search of food. Further research will be conducted especially on the other parts of the puppies' bodies like the stomach. The answer lies after the planned reconstruction of the Ice Age puppies' genomes, which would take at least a year. "A special research program will be formed to study the brain of Tumat puppy, involving both Russian and foreign institutions," said Fyodorov, who is also the head of the project.

Grigor'ev Y.,North-Eastern Federal University
Complex Analysis and Operator Theory | Year: 2017

We used a quaternion function method for the Moisil–Theodoresco system (MTS). Solutions of the MTS are (left-) regular quaternion functions (Formula presented.) of a reduced quaternion variable (Formula presented.). Here we present the quaternion three-dimensional representation of a general solution of the Stokes system for the slow flow of a viscous fluid in star-shaped domain. It is shown that in particular cases of plane and axially symmetric flows this representation goes into the representations by means of analytical and generalized analytical functions of complex variables. As applications the main problems the Stokes flow in a ball are solved. © 2017 Springer International Publishing AG

Vabishchevich P.N.,North-Eastern Federal University
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Year: 2017

A boundary value problem for a fractional power 0 <ε<1 of the second-order elliptic operator is considered. The boundary value problem is singularly perturbed when ε → 0. It is solved numerically using a time-dependent problem for a pseudo-parabolic equation. For the auxiliary Cauchy problem, the standard two-level schemes with weights are applied. The numerical results are presented for a model two-dimensional boundary value problem with a fractional power of an elliptic operator. Our work focuses on the solution of the boundary value problem with 0 <ε≪ 1. © Springer International Publishing AG 2017.

Lazarev N.,North-Eastern Federal University
Zeitschrift fur Angewandte Mathematik und Physik | Year: 2015

An equilibrium problem for an elastic Timoshenko-type plate containing a rigid inclusion is considered. On the interface between the elastic plate and the rigid inclusion, there is a vertical crack. Inequality-type boundary conditions are imposed at the crack faces to guarantee mutual nonpenetration. By using a sufficiently smooth perturbation determined in the middle plate plane, the variation of plate geometry is specified. The formula of the derivative of the plate energy functional with respect to the perturbation parameter is deduced. © 2015, Springer Basel.

Vabishchevich P.N.,North-Eastern Federal University
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Year: 2015

This work deals with the problem of choosing a time step for the numerical solution of boundary value problems for parabolic equations. The problem solution is derived using the fully implicit scheme, whereas a time step is selected via explicit calculations. Using the explicit scheme, we calculate the solution at a new time level. We employ this solution in order to obtain the solution at the previous time level (the implicit scheme, explicit calculations). This solution should be close to the solution of our problem at this time level with a prescribed accuracy. Such an algorithm leads to explicit formulas for the calculation of the time step and takes into account both the dynamics of the problem solution and changes in coefficients of the equation and in its right-hand side. © Springer International Publishing Switzerland 2015.

Vabishchevich P.N.,North-Eastern Federal University
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Year: 2015

In the study of difference schemes for time-dependent problems of mathematical physics, the general theory of stability (wellposedness) for operator-difference schemes is in common use. At the present time, the exact (matching necessary and sufficient) conditions for stability are obtained for a wide class of two- and three-level difference schemes considered in finite-dimensional Hilbert spaces. The main results of the theory of stability for operator-difference schemes are obtained for problems with self-adjoint operators. In this work, we consider difference schemes for numerical solution of the Cauchy problem for first order evolution equation, where non-self-adjoint operator is represented as a product of two non-commuting self-adjoint operators. We construct unconditionally stable regularized schemes based on the solution of a grid problem with a single operator multiplier on the new time level. © Springer International Publishing Switzerland 2015.

Borisov V.S.,North-Eastern Federal University
Procedia Computer Science | Year: 2015

Mathematical modeling of heat distribution with phase transitions is usually described by the Stefan problem. For north regions that situated on permafrost soils very common problem is to build constructions taking into account thawing process on soil. In this work we solve heat equation with phase transition numerically using finite elements method. Approximation was verified on one-dimensional problem by comparing with the analytical solution. Solver can be used on unstructured meshes with subdomains on two-dimensional problems. As a practical application, computational algorithm was used to forecast influence of construction heating to permafrost front of melting. © 2015 The Authors.

Vabishchevich P.N.,North-Eastern Federal University
Journal of Computational Physics | Year: 2015

An equation for a fractional power of the second-order elliptic operator is considered. It is solved numerically using a time-dependent problem for a pseudo-parabolic equation. For the auxiliary Cauchy problem, the standard two-level schemes are applied. Stability conditions are obtained for the fully discrete schemes under the consideration. The numerical results are presented for a model of two-dimensional problem with a fractional power of an elliptic operator. The dependence of accuracy on grids in time and in space is studied. © 2014 Elsevier Inc.

Vabishchevich P.N.,North-Eastern Federal University
BIT Numerical Mathematics | Year: 2013

Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of heat fluxes. In this case, the mathematical model is based on a hyperbolic equation of second order or a system of equations for the temperature and heat fluxes. In this paper we construct for the hyperbolic heat conduction equation the additive schemes of splitting with respect to directions. Unconditional stability of locally one-dimensional splitting schemes is established. New splitting schemes are proposed and studied for a system of equations written in terms of the temperature and heat fluxes. © 2013 Springer Science+Business Media Dordrecht.

News Article | March 29, 2016

The story behind man’s best friend is a primordial one. Some research suggests that all dogs can trace some of their lineage to southern East Asia some 33,000 years ago, according to Discovery News. Eventually canines spread their reach to the Middle East, then Africa, and later Europe. Between 2011 and 2016, two awe-inspiring discoveries were made in Russia’s Yakutia region. A pair of puppies were found immaculately preserved in permafrost. Scientists from the North-Eastern Federal University in Yakutsk dated the puppies to around 12,450 years ago, and are performing autopsies on the specimens. Recently, they extracted the brain from the second puppy. “We found this puppy in the same place where the first dog was found,” said Sergey Fedorov, of the North-Eastern Federal University, in a statement. “It was lying … two and half meters below. The tomography showed the presence of (a) well-preserved brain.” On March 21, the team extracted the brain. Along with the dura mater, the brain complex was 11 g, and filled around 70 percent of the cranial cavity. According to the university, these types of discoveries from mammoth predators are quite rare. In addition to the two puppies, two lion cubs and a wolverine have been found in Yakutia. The team, according to Agence-France Presse, plans on comparing the preserved brain to those of modern dogs and wolves. The team also glimpsed the puppy’s stomach contents, which they reported were dominated by twigs and grass. Near where the puppies were found, the team found the remains of a mammoth, the body of which was butchered and burned, which suggests human activity. “This material is really exceptional and unique,” said Royal Belgian Institute paleontologist Mietje Germonpre to the media outlet. Germonpre oversaw the autopsy. “The fact that soft tissue is preserved will give much more information compared to information that can be obtained from ‘normal’ fossils.” The puppies have been named the Tumat dogs, the namesake being a village near the site of discovery. The first puppy’s discovery in 2011 is accredited to local residents of the region, while the second was uncovered in 2015 by a North-Eastern Federal University field team, according to the university. Establish your company as a technology leader! For more than 50 years, the R&D 100 Awards have showcased new products of technological significance. You can join this exclusive community! Learn more.

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