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E-raamat: Computer Algebra in Scientific Computing: 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings

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This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017.

The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.

Linear Differential Systems with Infinite Power Series Coefficients (Invited Talk)
1(15)
S.A. Abramov
On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer
16(11)
Andrei V. Banshchikov
Sparse Interpolation, the FFT Algorithm and FIR Filters
27(13)
Matteo Briani
Annie Cuyt
Wen-shin Lee
On New Integrals of the Algaba-Gamero-Garcia System
40(11)
Alexander D. Bruno
Victor F. Edneral
Valery G. Romanovski
Full Rank Representation of Real Algebraic Sets and Applications
51(15)
Changbo Chen
Wenyuan Wu
Yong Feng
Certifying Simple Zeros of Over-Determined Polynomial Systems
66(11)
Jin-San Cheng
Xiaojie Dou
Decomposing Polynomial Sets Simultaneously into Grobner Bases and Normal Triangular Sets
77(16)
Rina Dong
Chenqi Mou
Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks
93(16)
Matthew England
Hassan Errami
Dima Grigoriev
Ovidiu Radulescu
Thomas Sturm
Andreas Weber
The Polymake Interface in Singular and Its Applications
109(9)
Raul Epure
Yue Ren
Hans Schonemann
Computation of Some Integer Sequences in Maple
118(16)
W.L. Fan
D.J. Jeffrey
Erik Postma
Symbolic-Numerical Algorithm for Generating Interpolation Multivariate Hermite Polynomials of High-Accuracy Finite Element Method
134(17)
A.A. Gusev
V.P. Gerdt
O. Chuluunbaatar
G. Chuluunbaatar
S.I. Vinitsky
V.L. Derbov
A. Gozdz
Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method
151(16)
A.A. Gusev
V.P. Gerdt
O. Chuluunbaatar
G. Chuluunbaatar
S.I. Vinitsky
V.L. Derbov
A. Gozdz
A Symbolic Study of the Satellite Dynamics Subject to Damping Torques
167(16)
Sergey A. Gutnik
Vasily A. Sarychev
Characteristic Set Method for Laurent Differential Polynomial Systems
183(13)
Youren Hu
Xiao-Shan Gao
Sparse Polynomial Interpolation with Finitely Many Values for the Coefficients
196(14)
Qiao-Long Huang
Xiao-Shan Gao
On Stationary Motions of the Generalized Kowalewski Gyrostat and Their Stability
210(15)
Valentin Irtegov
Tatyana Titorenko
Computing the Integer Points of a Polyhedron, I: Algorithm
225(17)
Rui-Juan Jing
Marc Moreno Maza
Computing the Integer Points of a Polyhedron, II: Complexity Estimates
242(15)
Rui-Juan Jing
Marc Moreno Maza
Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data
257(15)
Ryszard Kozera
Lyle Noakes
The Convergence Conditions of Interval Newton's Method Based on Point Estimates
272(13)
Zhe Li
Baocheng Wan
Shugong Zhang
Normalization of Indexed Differentials Based on Function Distance Invariants
285(16)
Jiang Liu
Symbolic-Numeric Integration of the Dynamical Cosserat Equations
301(12)
Dmitry A. Lyakhov
Vladimir P. Gerdt
Andreas G. Weber
Dominik L. Michels
Algorithms for Zero-Dimensional Ideals Using Linear Recurrent Sequences
313(16)
Vincent Neiger
Hamid Rahkooy
Eric Schost
Symbolic-Numerical Analysis of the Relative Equilibria Stability in the Planar Circular Restricted Four-Body Problem
329(17)
Alexander N. Prokopenya
The Method of Collocations and Least Residuals Combining the Integral Form of Collocation Equations and the Matching Differential Relations at the Solution of PDEs
346(16)
Vastly P. Shapeev
Evgenii V. Vorozhtsov
A Special Homotopy Continuation Method for a Class of Polynomial Systems
362(15)
Yu Wang
Wenyuan Wu
Bican Xia
Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems
377(15)
Wenyuan Wu
Changbo Chen
Greg Reid
Computing Multiple Zeros of Polynomial Systems: Case of Breadth One (Invited Talk)
392(15)
Lihong Zhi
Author Index 407