A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation by Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua

“…These methods do not need Newton’s iterate in the …first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.…”
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Controlling hopf bifurcations: Discrete-time systems by Guanrong Chen, Jin-quing Fang, Yiguang Hong, Huashu Qin

“…The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results.…”
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A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems by Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani

“…This method is easy to implement and requires no tedious computational work. Some numerical examples are presented to show the validity and efficiency of the proposed method in comparison with the corresponding exact solutions.…”
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Squamous cell carcinoma of the bronchus associated with human papillomavirus infection by Akane Toriyama, Satsuki Kishikawa, Shinichi Sasaki, Shiaki Oh, Shigeki Tomita, Takashi Yao

“…A woman in her 70s presented with an abnormal chest radiograph. Chest computed tomography showed a tumor arising from the intermediate bronchus. …”
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NUMERICAL MODELING OF STRESSES NEAR THE SURFACE IN THE INGOT OF CIRCULAR SECTION, CRYSTALLIZABLE AT CIRCULAR TORCH SECONDARY COOLING by A. N. Chichko, N. V. Andrianov, A. V. Demin, D. M. Kukuj, V. F. Sobolev, Ju. V. Jatskevich, O. I. Chichko

“…The results of computer calculations of the stresses, generated in outside layer of ingot of steel 20 of circular section with diameter 300 mm, in application to one of the industrial technological schemas of RUP “BMZ”, are presented. …”
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On the One Dimensional Poisson Random Geometric Graph by L. Decreusefond, E. Ferraz

“…Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process, and edges exist between two points if and only if their distance is less than a fixed given threshold. We compute explicitly the distribution of the number of connected components of this graph. …”
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Hybrid models of cell and tissue dynamics in tumor growth by Yangjin Kim, Hans G. Othmer

“…Hybrid models of tumor growth, in which some regions are described at the celllevel and others at the continuum level, provide a flexible description thatallows alterations of cell-level properties and detailed descriptions of theinteraction with the tumor environment, yet retain the computational advantagesof continuum models where appropriate. …”
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Representation theory of finite abelian groups applied to a linear diatomic crystal by J. N. Boyd, P. N. Raychowdhury

“…After a brief review of matrix representations of finite abelian groups, projection operators are defined and used to compute symmetry coordinates for systems of coupled harmonic oscillators. …”
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TESTING OF CYCLIC STRUCTURAL CHANGES IN SWITCHING REGIME VECTOR AUTOREGRESSIVE MODELS by V. I. Malugin

“…Accuracy of the approach is examined by means of computer simulation experiments.…”
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A Rare Case of an Inflammatory Myofibroblastic Tumor in a Middle-Aged Female by Lamprini Kosma, Lubna Khaldi, Panagiota Galani, Dimitrios Mytas, Sofia Lafoyianni

“…We report a case of a 64-years-old woman with a fever and abdominal discomfort for 3 months; a computer tomography was performed indicating gastrointestinal stromal tumor. …”
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Permanence and Global Attractivity of a Discrete Logistic Model with Impulses by Chunyu Gao, Qingxi Guo

“…The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. …”
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New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions by Lizhen Wang, Qing Huang, Yanmei Di

“…With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. …”
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Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines by A. J. M. Ferreira, A. M. Zenkour

“…The natural frequencies of vibration are computed for various plates and compared with some available published results. …”
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A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums by Lan Qi, Xingxing Lv

“…The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an interesting four-order linear recurrence formula for it. …”
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Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows by Inga Timofejeva, Kristina Poskuviene, Maosen Cao, Minvydas Ragulskis

“…The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. …”
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Vena Cava Superior Syndrome Related to Right Heart Invasion of an Unresectable Hepatocellular Carcinoma by Geert Maleux, Werner Budts, Vincent Vandecaveye

“…The patient presented with clinical signs of a vena cava superior syndrome. Computed tomography and transthoracic echocardiography demonstrated a large tumoral mass lesion extending from the left liver lobe into the inferior vena cava right atrium and right ventricle. …”
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Distance to Spaces of Semicontinuous and Continuous Functions by Carlos Angosto

“…Given a topological space X, we establish formulas to compute the distance from a function f∈RX to the spaces of upper semicontinuous functions and lower semicontinuous functions. …”
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Is the Best Fitting Curve Always Unique? by N. Chernov, Q. Huang, H. Ma

“…Fitting straight lines and simple curved objects (circles, ellipses, etc.) to observed data points is a basic task in computer vision and modern statistics (errors-in-variables regression). …”
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Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A by Javier Hernández, Francisco Marcellán

“…In this contribution we present an extension of the Leverrier-Faddeev algorithm for the simultaneous computation of the determinant and the adjoint matrix B(s) of a pencil sE−A where E is a singular matrix but det⁡(sE−A)≢0. …”
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On the Formal Integrability Problem for Planar Differential Systems by Antonio Algaba, Cristóbal García, Jaume Giné

“…From the results obtained, we consider some families of analytic differential systems in ℂ2, and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.…”
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