Wyniki wyszukiwania dla: GENERALIZED EIGENVALUE PROBLEM, FEM, COMPLEX-VALUED SPARSE MATRIX PENCIL, GPU, MAXWELL’S EQUATIONS.

• Macromodels for efficient FEM simulations of waveguides and resonators

  Publikacja

  • G. Fotyga
  • K. Nyka
  • Ł. Kulas

  - Rok 2010

  This paper introduces a novel technique for enhancing the efficiency of the finite element method (FEM) by incorporating special modules, called macromodels, into the standard eigenvalue formulation. The number of unknowns in the separated macromodel subdomain can be significantly reduced by orthogonal projection, using the efficient nodal order reduction algorithm. The idea of macromodels implementation is demonstrated on a simple...

• Generalized method of lines for nonlinear first order partial differential equations

  Publikacja

  • A. Baranowska
  • Z. Kamont

  - Rok 2006

  Klasyczne rozwiązania zagadnień początkowych oraz początkowo brzegowych są przybliżane za pomocą rozwiązań równań różniczkowo różnicowych. Skonstruowana jest metoda prostych polegająca na dyskretyzacji wyjściowego równania względem zmiennych przestrzennych. Przedstawiony w pracy schemat bazuje na metodzie linearyzacji dla zagadnień nieliniowych. W pracy zastosowano metodę quasilinearyzacji polegającą na zamianie nieliniowego równania...

• Generalized Euler method for first order partial differential functional equations

  Publikacja

  • W. Czernous

  - Annales Polonici Mathematici - Rok 2006

  W pracy prezentowana jest nowa klasa metod numerycznych dla nieliniowych równań różniczkowo funkcyjnych pierwszego rzędu.Rozwiązania klasyczne zagadnień początkowo brzegowych przybliżane są w tej pracy przez rozwiązania odpowiedniego układu quasilininowego równań różnicowych. Podajemy kompletną analizę zbieżności metod i pokazujemy na przykładach, iż nowa metoda jest zauważalnie lepsza niż klasyczne schematy różnicowe. Dowód stabilności...

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• The generalized quasilinearization for integro-differential equations of Volterra type on time scales

  Publikacja

  • T. Jankowski

  - ROCKY MOUNTAIN JOURNAL OF MATHEMATICS - Rok 2007

  Badano równania całkowo-różniczkowe on ''time scales'' i podano warunkidostateczne na zbieżność metody kwazilinearyzacji do jego rozwiązania. Podano warunki na to, aby zbieżność ta była kwadratową.

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• Generalized Euler method for nonlinear first order partial differential equations.

  Publikacja

  • Z. Kamont
  • J. Newlin-Łukowicz

  - Nonlinear Oscillations - Rok 2003

  Klasyczne rozwiązania nieliniowych równań różniczkowych cząstkowych pierwszego rzędu są aproksymowane w tej pracy za pomocą rozwiązań quasiliniowych układów równań różnicowych. Podstawowa idea pracy jest oparta na teorii charakterystyk. Podane są warunki wystarczające dla zbieżności metody. Dowód stabilności schematu różnicowego wykorzystuje metodę porównawczą z nieliniowymi oszacowaniami typu Perrona dla danych funkcji.Podane...

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• Dynamic GPU power capping with online performance tracing for energy efficient GPU computing using DEPO tool

  Publikacja

  • A. Krzywaniak
  • P. Czarnul
  • J. Proficz

  - Future Generation Computer Systems-The International Journal of Grid Computing-Theory Methods and Applications - Rok 2023

  GPU accelerators have become essential to the recent advance in computational power of high- performance computing (HPC) systems. Current HPC systems’ reaching an approximately 20–30 mega-watt power demand has resulted in increasing CO2 emissions, energy costs and necessitate increasingly complex cooling systems. This is a very real challenge. To address this, new mechanisms of software power control could be employed. In this...

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• Communication Model Order Reduction in Hybrid Methods Involving Generalized Impedance Matrix

  Publikacja

  • G. Fotyga
  • D. Szypulski
  • R. Lech
  • P. Kowalczyk

  - IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION - Rok 2020

  A novel strategy for the efficient analysis of frequency-domain scattering electromagnetic problems in open and closed domains is presented. A fully automatic model-order reduction technique, called the enhanced reduced-basis method, is applied to increase the efficiency of the hybrid approach, which combines the finite-element and mode-matching methods. Numerical tests show that the proposed algorithm yields reliable and highly...

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• Multimodal Particle Swarm Optimization with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis

  Publikacja

  • D. Trofimowicz
  • T. Stefański

  - Rok 2020

  In this paper, a new meta-heuristic method of finding roots and poles of a complex function of a complex variable is presented. The algorithm combines an efficient space exploration provided by the particle swarm optimization (PSO) and the classification of root and pole occurrences based on the phase analysis of the complex function. The method initially generates two uniformly distributed populations of particles on the complex...

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• The generalized Banach match-box problem: Application in disc storage management

  Publikacja

  • K. Goczyla

  - ACTA APPLICANDAE MATHEMATICAE - Rok 1986

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• Remarks on the convergence of an iterative method of solution of generalized least squares problem

  Publikacja

  • Z. Bartoszewski

  - Demonstratio Mathematica - Rok 2010

  W pracy przedstawiona jest metoda iteracyjna znajdowania regularyzowanego (w sensie Tichonowa) rozwiązania układu równań Ax=b z dowolną macierzą A. Dla danej liczby alfa i wektora g daje ona ciąg przybliżeń zbieżny do rozwiązania (w sensie najmniejszych kwadratów) tego układu. Rozwiązanie to minimalizuje odległość zbioru wszystkich rozwiązań średniokwadratowych układu Ax=b od wektora g. Podane zostało również oszacowanie szybkości...

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• Generalized Gradient Equivariant Multivalued Maps, Approximation and Degree

  Publikacja

  • Z. Dzedzej
  • T. Gzella

  - Mathematics - Rok 2020

  Consider the Euclidean space Rn with the orthogonal action of a compact Lie group G. We prove that a locally Lipschitz G-invariant mapping f from Rn to R can be uniformly approximated by G-invariant smooth mappings g in such a way that the gradient of g is a graph approximation of Clarke’s generalized gradient of f . This result enables a proper development of equivariant gradient degree theory for a class of set-valued gradient...

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• Efficient and Systematic Solution of Real and Complex Eigenvalue Problems Employing Simplex Chain Vertices Searching Procedure

  Publikacja

  • J. J. Michalski
  • P. Kowalczyk

  - IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES - Rok 2011

  W artykule zaprezentowano nowatorską metodę, pozwalającą w bardzo efektywny sposób rozwiązywać rzeczywiste i zespolone zagadnienia własne (które przekształcić można w równania nieliniowe) często spotykane w elektrodynamice obliczeniowej. Idea metody oparta jest o śledzenie miejsc zerowych otrzymanego równania nieliniowego. W proponowanej technice zastosowano regularne wielościany, budując z nich łańcuch (ścieżkę) poszukiwanych...

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• GPU Acceleration of Multilevel Solvers for Analysis of Microwave Components With Finite Element Method

  Publikacja

  • A. Dziekoński
  • A. Lamęcki
  • M. Mrozowski

  - IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS - Rok 2011

  The letter discusses a fast implementation of the conjugate gradient iterative method with ${rm E}$-field multilevel preconditioner applied to solving real symmetric and sparse systems obtained with vector finite element method. In order to accelerate computations, a graphics processing unit (GPU) was used and significant speed-up (2.61 fold) was achieved comparing to a central processing unit (CPU) based approach. These results...

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• A Self-Adaptive Complex Root Tracing Algorithm for the Analysis of Propagation and Radiation Problem

  Publikacja

  • S. Dziedziewicz
  • R. Lech
  • P. Kowalczyk

  - IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION - Rok 2021

  An improved complex root tracing algorithm for radiation and propagation issues is proposed. The approach is based on a self-adaptive discretization of Cauchy’s argument principle for a C × R space and requires a reduced number of function calls in comparison to other procedures presented in the literature. A few different examples concerning propagation and radiation problems have been considered to verify the validity and efficiency...

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• Generalized adaptive notch smoothing revisited

  Publikacja

  • M. Niedźwiecki

  - IEEE TRANSACTIONS ON SIGNAL PROCESSING - Rok 2010

  The problem of identification of quasi-periodically varying dynamic systems is considered. This problem can be solved using generalized adaptive notch filtering (GANF) algorithms. It is shown that the accuracy of parameter estimates can be significantly increased if the results obtained from GANF are further processed using a cascade of appropriately designed filters. The resulting generalized adaptive notch smoothing (GANS) algorithm...

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• Equivariant degree of convex-valued applied to set-valued BVP

  Publikacja

  • Z. Dzedzej

  - Central European Journal of Mathematics - Rok 2012

  W pracy określono stopień ekwiwariantny dla odwzorowań o wartościach zwartych i wypukłych. Zastosowano go do dowodu twierdzenia o istnieniu wielunietrywialnych rozwiązań problemu brzegowego typu Dirichleta dla inkluzji różniczkowych z warunkami wzrostu typu Bernsteina-Nagumo, z dodatkowymi symetriami

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• Parallelization of large vector similarity computations in a hybrid CPU+GPU environment

  Publikacja

  • P. Czarnul

  - JOURNAL OF SUPERCOMPUTING - Rok 2018

  The paper presents design, implementation and tuning of a hybrid parallel OpenMP+CUDA code for computation of similarity between pairs of a large number of multidimensional vectors. The problem has a wide range of applications, and consequently its optimization is of high importance, especially on currently widespread hybrid CPU+GPU systems targeted in the paper. The following are presented and tested for computation of all vector...

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• Generalized solutions of mixed problems for first-order partial functional differential equations

  Publikacja

  • W. Czernous

  - Ukrainian Mathematical Journal - Rok 2006

  W pracy udowodniono twierdzenie o istnieniu rozwiązań i ich ciągłej zależności od warunków początkowo brzegowych. Do przekształcenia zagadnienia oryginalnego w układ równań całkowo funkcyjnych typu Volterry użyto metody bicharakterystyk. Istnienie rozwiązań udowodnione jest metodą kolejnych przybliżeń, przy użyciu twierdzeń o nierównościach całkowych. Rozwiązania klasyczne układów równań całkowo funkcyjnych prowadzą do rozwiązań...

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• Efficient model order reduction for FEM analysis of waveguide structures and resonators

  Publikacja

  • G. Fotyga
  • K. Nyka
  • M. Mrozowski

  - Progress in Electromagnetics Research-PIER - Rok 2012

  An efficient model order reduction method for three-dimensional Finite Element Method (FEM) analysis of waveguide structures is proposed. The method is based on the Efficient Modal Order Reduction (ENOR) algorithm for creating macro-elements in cascaded subdomains. The resulting macro-elements are represented by very compact submatrices, leading to significant reduction of the overall number of unknowns. The efficiency of the model...

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• Data fusion of sparse, heterogeneous, and mobile sensor devices using adaptive distance attention

  Publikacja

  • J. Lepioufle
  • P. Schneider
  • P. D. Hamer
  • R. Odegard
  • I. Vallejo
  • T. Cao
  • A. Taherkordi
  • M. Wójcikowski

  - Environmental Data Science - Rok 2024

  In environmental science, where information from sensor devices are sparse, data fusion for mapping purposes is often based on geostatistical approaches. We propose a methodology called adaptive distance attention that enables us to fuse sparse, heterogeneous, and mobile sensor devices and predict values at locations with no previous measurement. The approach allows for automatically weighting the measurements according to a priori...

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• Equivariant degree of convex-valued maps applied to set-valued BVP

  Publikacja

  • Z. Dzedzej

  - Open Mathematics - Rok 2012

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• A more colorful hat problem

  Publikacja

  • M. Krzywkowski

  - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica - Rok 2011

  The topic is the hat problem in which each of n players is randomly fitted with a blue or red hat. Then everybody can try to guess simultaneously his own hat color by looking at the hat colors of the other players. The team wins if at least one player guesses his hat color correctly, and no one guesses his hat color wrong; otherwise the team loses. The aim is to maximize the probability of winning. We consider a generalized hat...

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• Existence of unbounded solutions to parabolic equations with functional dependence

  Publikacja

  • A. Bartłomiejczyk

  - MATHEMATISCHE NACHRICHTEN - Rok 2004

  The Cauchy problem for nonlinear parabolic differential-functional equations is considered. Under natural generalized Lipschitz-type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence u(·); (ii) the functional dependence u(·) and ∂xu(·); (iii) the functional dependence u(·)and the pointwise dependence ∂xu(t,x).

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• Estimation of the amplitude of the signal for the active optical gesture sensor with sparse detectors

  Publikacja

  • K. Czuszyński
  • J. Rumiński
  • A. Poliński
  • A. Bujnowski

  - Rok 2016

  In this paper we deal with the problem of precise gesture recognition for the active optical proximity sensor with sparse 8 photodiodes. We particularly focus on developing the method of estimating the real, usually not observable, maximum signal value representing maximum intensity of light reflected from an obstacle present in the front of the sensor. Different configurations of the fingers were used as an obstacle. The Monte Carlo...

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• Modelling and simulation of GPU processing in the MERPSYS environment

  Publikacja

  • T. Gajger
  • P. Czarnul

  - Scalable Computing: Practice and Experience - Rok 2018

  In this work, we evaluate an analytical GPU performance model based on Little's law, that expresses the kernel execution time in terms of latency bound, throughput bound, and achieved occupancy. We then combine it with the results of several research papers, introduce equations for data transfer time estimation, and finally incorporate it into the MERPSYS framework, which is a general-purpose simulator for parallel and distributed...

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• Thermal self-action effects for acoustic beams containing fronts in a Maxwell relaxing fluid

  Publikacja

  • A. Perelomova

  - CENTRAL EUROPEAN JOURNAL OF PHYSICS - Rok 2014

  This paper examines the thermal self-action of acoustic beams in a Maxwell relaxing fluid. This type of thermal self-action differs from that in a Newtonian fluid and behaves differently depending on a ratio of sound period and time of thermodynamic relaxation. The self-action which relates to sound beams containing shock fronts is also discussed. In addition, stationary and non-stationary types of self-action are considered.

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• Electromagnetic Simulations with 3D FEM and Intel Optane Persistent Memory

  Publikacja

  • M. Jakubowski
  • P. Sypek

  - Rok 2022

  Abstract—Intel Optane persistent memory has the potential to induce a change in how high-performance calculations requiring a large system memory capacity are conducted. This article presents what this change may look like in the case of factorization of large sparse matrices describing electromagnetic problems arising in the 3D FEM analysis of passive highfrequency components. In numerical tests, the Intel oneAPI MKL PARDISO was...

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• Equations with Separated Variables on Time Scales

  Publikacja

  • A. Augustynowicz
  • A. Gołaszewska

  - INTERNATIONAL JOURNAL OF DIFFERENCE EQUATIONS - Rok 2017

  We show that the well-known theory for classical ordinary differential equations with separated variables is not valid in case of equations on time scales. Namely, the uniqueness of solutions does not depend on the convergence of appropriate integrals.

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• New achievements in the field of extraction of trace analytes from samples characterized by complex composition of the matrix

  Publikacja

  • K. Owczarek
  • N. Jatkowska
  • J. Płotka-Wasylka
  • J. Namieśnik

  - Rok 2019

  Without any doubt, the monitoring of compounds present in samples at trace or ultra-trace level usually requires a preliminary step of isolation and/or enrichment of analytes due to the fact that majority of analytical techniques are not sensitive enough for direct determination of trace compounds. On the other hand, sample preparation is considered as crucial part of whole analytical procedures, in particular in samples characterized...

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• Mathematical analysis of the lasing eigenvalue problem for the optical modes in a layered dielectric cavity with a quantum well and distributed Bragg reflectors

  Publikacja

  • V. Byelobrov
  • A. Nosich

  - OPTICAL AND QUANTUM ELECTRONICS - Rok 2007

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• Acceleration of the DGF-FDTD method on GPU using the CUDA technology

  Publikacja

  • T. Dziubak
  • M. Wiktor
  • S. Orłowski
  • T. Stefański

  - Rok 2015

  We present a parallel implementation of the discrete Green's function formulation of the finite-difference time-domain (DGF-FDTD) method on a graphics processing unit (GPU). The compute unified device architecture (CUDA) parallel computing platform is applied in the developed implementation. For the sake of example, arrays of Yagi-Uda antennas were simulated with the use of DGF-FDTD on GPU. The efficiency of parallel computations...

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• Advanced Scalar-valued Intensity Measures for Residual Drift Prediction of SMRFs with Fluid Viscous Dampers

  Publikacja

  • F. Kazemi
  • B. Mohebi
  • N. Asgarkhani
  • A. Yousefi

  - International Journal of Structural Integrity - Rok 2023

  Maximum Residual Inter-story Drift Ratio (RIDRmax) plays an important role to specify the state of a structure after severe earthquake and the possibility of repairing the structure. Therefore, it is necessary to predict the RIDRmax of Steel Moment-Resisting Frames (SMRFs) with high reliability by employing powerful Intensity Measures (IMs). This study investigates the efficiency and sufficiency of scalar-valued IMs for predicting...

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• Fractional differential equations with causal operators

  Publikacja

  • T. Jankowski

  - Advances in Difference Equations - Rok 2015

  We study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.

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• A New Type of Macro-Elements for Efficient Two-Dimensional FEM Analysis

  Publikacja

  • G. Fotyga
  • K. Nyka
  • Ł. Kulas

  - IEEE Antennas and Wireless Propagation Letters - Rok 2011

  This letter deals with a model order reduction technique applicable for driven and eigenvalue problems solved using the finite element method (FEM). It allows one to efficiently compute electromagnetic parameters of structures comprising small features that require strong local mesh refinement. The subdomains of very fine mesh are separated from the global domain as so called macro-elements that undergo model reduction. The macro-elements...

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• Performance of Vector-valued Intensity Measures for Estimating Residual Drift of Steel MRFs with Viscous Dampers

  Publikacja

  • B. Mohebi
  • F. Kazemi
  • N. Asgarkhani
  • P. Ghasemnezhadsani
  • A. Mohebi

  - International Journal of Structural and Civil Engineering Research - Rok 2022

  Viscous Dampers (VDs) are widely used as passive energy dissipation system for improving seismic performance levels especially in retrofitting of buildings. Residual Inter-story Drift Ratio (R-IDR) is another important factor that specifies the condition of building after earthquake. The values of R-IDR illustrates the possibility of retrofitting and repairing of a building. Therefore, this study aims to explore the vector-valued...

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• Generalized Chebyshev Bandpass Filters With Frequency-Dependent Couplings Based on Stubs

  Publikacja

  • Ł. Szydłowski
  • N. Leszczynska
  • M. Mrozowski

  - IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES - Rok 2013

  This paper presents an accurate synthesis method for inline and cross-coupled generalized Chebyshev bandpass filters with frequency-dependent couplings implemented via open and short stubs. The technique involves the synthesis of a lumped-element prototy pe in the form of a coupling matrix with a frequency-dependent term and the conversion of this prototype to a distributed-element mode l composed of sections of TEM lines. This...

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• Parabolic Equations with Functional Dependence

  Publikacja

  • A. Bartłomiejczyk
  • H. Leszczyński

  - ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN - Rok 2001

  We consider the Cauchy problem for nonlinear parabolic equations with functional dependence and prove theorems on the existence of solutions to parabolic differential-functional equations.

• Single and Series of Multi-valued Decision Diagrams in Representation of Structure Function

  Publikacja

  • M. Mrena
  • M. Kvassay
  • S. Czapp

  - Rok 2022

  Structure function, which defines dependency of performance of the system on performance of its components, is a key part of system description in reliability analysis. In this paper, we compare two approaches for representation of the structure function. The first one is based on use of a single Multi-valued Decision Diagram (MDD) and the second on use of a series of MDDs. The obtained results indicate that the series of MDDs...

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• Elimination of clicks from archive speech signals using sparse autoregressive modeling

  Publikacja

  • M. Niedźwiecki
  • M. Ciołek

  - Rok 2012

  This paper presents a new approach to elimination of impulsivedisturbances from archive speech signals. The proposedsparse autoregressive (SAR) signal representation is given ina factorized form - the model is a cascade of the so-called formantfilter and pitch filter. Such a technique has been widelyused in code-excited linear prediction (CELP) systems, as itguarantees model stability. After detection of noise pulses usinglinear...

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• On root finding algorithms for complex functions with branch cuts

  Publikacja

  • P. Kowalczyk

  - JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS - Rok 2017

  A simple and versatile method is presented, which enhances the complex root finding process by eliminating branch cuts and branch points in the analyzed domain. For any complex function defined by a finite number of Riemann sheets, a pointwise product of all the surfaces can be obtained. Such single-valued function is free of discontinuity caused by branch cuts and branch points. The roots of the new function are the same as the...

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• On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation

  Publikacja

  • A. Szafrańska
  • J. E. Macías-Díaz

  - JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS - Rok 2014

  In this note, we establish the property of convergence for a finite-difference discretization of a diffusive partial differential equation with generalized Burgers convective law and generalized Hodgkin–Huxley reaction. The numerical method was previously investigated in the literature and, amongst other features of interest, it is a fast and nonlinear technique that is capable of preserving positivity, boundedness and monotonicity....

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• A Cost-Effective Method for Reconstructing City-Building 3D Models from Sparse Lidar Point Clouds

  Publikacja

  • M. Kulawiak

  - Remote Sensing - Rok 2022

  The recent popularization of airborne lidar scanners has provided a steady source of point cloud datasets containing the altitudes of bare earth surface and vegetation features as well as man-made structures. In contrast to terrestrial lidar, which produces dense point clouds of small areas, airborne laser sensors usually deliver sparse datasets that cover large municipalities. The latter are very useful in constructing digital...

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• Generalized solution of mixed problems for first order partial differential equations with state dependent delays

  Publikacja

  • A. Gołaszewska

  - International Journal of Pure and Applied Mathematics - Rok 2006

  W pracy zostało udowodnione twierdzenie o istnieniu i jednoznaczności rozwiązań dla zagadnień początkowo-brzegowych z cząstkowym równaniem różniczkowo-funkcyjnym z opóźnionym argumentem zależnym od funkcji niewiadomej. Użyto metody bicharakterystyk. Jednoznaczność rozwiązań wykazano metodą porównawczą, istnienie - metodą ciągów przybliżeń.

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• Parallel implementation of the DGF-FDTD method on GPU Using the CUDA technology

  Publikacja

  • T. Stefański
  • T. Dziubak
  • S. Orłowski

  - Rok 2016

  The discrete Green's function (DGF) formulation of the finite-difference time-domain method (FDTD) is accelerated on a graphics processing unit (GPU) by means of the Compute Unified Device Architecture (CUDA) technology. In the developed implementation of the DGF-FDTD method, a new analytic expression for dyadic DGF derived based on scalar DGF is employed in computations. The DGF-FDTD method on GPU returns solutions that are compatible...

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• Multimode systems of nonlinear equations: derivation, integrability, and numerical solutions

  Publikacja

  • S. Leble
  • B. Reichel
  • M. Kuszner

  - THEORETICAL AND MATHEMATICAL PHYSICS - Rok 2011

  We consider the propagation of electromagnetic pulses in isotropic media taking a third-order nonlinearityinto account. We develop a method for transforming Maxwell's equations based on a complete set ofprojection operators corresponding to wave-dispersion branches (in a waveguide or in matter) with thepropagation direction taken into account. The most important result of applying the method is a systemof equations describing the...

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• Electromagnetic Control and Dynamics of Generalized Burgers’ Nanoliquid Flow Containing Motile Microorganisms with Cattaneo–Christov Relations: Galerkin Finite Element Mechanism

  Publikacja

  • F. Shahzad
  • W. Jamshed
  • T. Sajid
  • M. Shamshuddin
  • R. Safdar
  • O. Salawu
  • M. Eid
  • M. B. Hafeez
  • M. Krawczuk

  - Applied Sciences-Basel - Rok 2022

  In our research work, we have developed a model describing the characteristics of the bio-convection and moving microorganisms in the flows of a magnetized generalized Burgers’ nanoliquid with Fourier’s and Fick’s laws in a stretchable sheet. Considerations have been made to Cattaneo–Christov mass and heat diffusion theory. According to the Cattaneo–Christov relation, the Buongiorno phenomenon for the motion of a nanoliquid in...

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• Justyna Signerska-Rynkowska dr inż.

  Osoby

  Instytut Matematyki Stosowanej

  Since 2021 visiting assistant professor in Dioscuri Centre in Topological Data Analysis (Institute of Mathematics of the Polish Academy of Sciences, IMPAN)  Since 2016   assistant professor at Gdańsk University of Technology, Faculty of Applied Physics and                      Mathematics, Department of Differential Equations and Mathematics Applications  2020 - 2023  Principal Investigator in "SONATA" grant “Challenges of low-dimensional...

• Generalized temperature dependence model for anammox process kinetics

  Publikacja

  • D. Sobotka
  • J. Zhai
  • J. Mąkinia

  - SCIENCE OF THE TOTAL ENVIRONMENT - Rok 2021

  Temperature is a key operational factor influencing the anammox process kinetics. In particular, at temperatures below 15 °C, the specific anammox activity (SAA) considerably decreases. This study aimed to describe the temperature dependence of the anammox process kinetics in the temperature range from 10 to 55 °C, including the specific characteristics of“cold anammox”. The commonly used Arrhenius and extended and modifiedRatkowsky...

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• Unifying Aspects of Generalized Calculus

  Publikacja

  • M. Czachor

  - ENTROPY - Rok 2020

  Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated.

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• Macro-elements and Model Order Reduction for Efficient Three-Dimensional FEM Analysis

  Publikacja

  • G. Fotyga
  • K. Nyka
  • Ł. Kulas

  - Rok 2012

  An efficient model order reduction (MOR) methodology for three dimensional vector finite element method (FEM) is developed to accelerate simulations of the structures containing features that cause strong variations of mesh density. As the result of presented algorithm, FEM subsystems of equations corresponding to the selected refined region are converted into a very compact sets of linear equations, called macro-elements.Numerical...