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Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings

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Personen und Körperschaften: Gerdt, Vladimir P. (VerfasserIn), Koepf, Wolfram (Sonstige), Mayr, Ernst W. (Sonstige), Vorožcov, Evgenij V. (Sonstige)
Titel: Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings/ edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov
Format: E-Book Konferenzbericht
Sprache: Englisch
veröffentlicht:
Berlin, Heidelberg Springer 2012
Gesamtaufnahme: SpringerLink
Lecture notes in computer science ; 7442
Schlagwörter:
Buchausg. u.d.T.: Computer algebra in scientific computing, Berlin : Springer, 2012, XIII, 362 S.
Quelle: Verbunddaten SWB
Zugangsinformationen: Elektronischer Volltext - Campuslizenz
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contents On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations -- An Algebraic Characterization of Rainbow Connectivity -- Application of the Method of Asymptotic Solution to One Multi-Parameter Problem -- A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers -- Lightweight Abstraction for Mathematical Computation in Java -- Calculation of Normal Forms of the Euler–Poisson Equations -- Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem -- Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates -- Comprehensive Involutive Systems -- A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials -- The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System -- Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics Symbolic-Numerical Calculations of -- High-/m/ Rydberg States and Decay Rates in Strong Magnetic Fields -- Quasi-stability versus Genericity -- Invariant Theory: Applications and Computations (Invited Talk) -- Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems -- On Fulton’s Algorithm for Computing Intersection Multiplicities -- A Note on the Space Complexity of Fast D-Finite Function Evaluation -- Inversion Modulo Zero-Dimensional Regular Chains -- Sparse Polynomial Powering Using Heaps -- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems -- Parallel Reduction of Matrices in Gr¨obner Bases Computations -- Real and Complex Polynomial Root-Finding by Means of Eigen-Solving -- Root-Refining for a Polynomial Equation -- PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks -- Approximately Singular Systems and Ill-Conditioned Polynomial Systems -- Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations -- Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems -- Improving Angular Speed Uniformity by Optimal C0 Piecewise Reparameterization -- Usage of Modular Techniques for Efficient Computation of Ideal Operations (Invited Talk)., This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps.
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spelling Gerdt, Vladimir P. aut, Computer Algebra in Scientific Computing 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov, Berlin, Heidelberg Springer 2012, Online-Ressource (digital), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, Lecture Notes in Computer Science 7442, SpringerLink Bücher, Literaturangaben, On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations -- An Algebraic Characterization of Rainbow Connectivity -- Application of the Method of Asymptotic Solution to One Multi-Parameter Problem -- A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers -- Lightweight Abstraction for Mathematical Computation in Java -- Calculation of Normal Forms of the Euler–Poisson Equations -- Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem -- Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates -- Comprehensive Involutive Systems -- A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials -- The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System -- Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics Symbolic-Numerical Calculations of -- High-/m/ Rydberg States and Decay Rates in Strong Magnetic Fields -- Quasi-stability versus Genericity -- Invariant Theory: Applications and Computations (Invited Talk) -- Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems -- On Fulton’s Algorithm for Computing Intersection Multiplicities -- A Note on the Space Complexity of Fast D-Finite Function Evaluation -- Inversion Modulo Zero-Dimensional Regular Chains -- Sparse Polynomial Powering Using Heaps -- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems -- Parallel Reduction of Matrices in Gr¨obner Bases Computations -- Real and Complex Polynomial Root-Finding by Means of Eigen-Solving -- Root-Refining for a Polynomial Equation -- PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks -- Approximately Singular Systems and Ill-Conditioned Polynomial Systems -- Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations -- Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems -- Improving Angular Speed Uniformity by Optimal C0 Piecewise Reparameterization -- Usage of Modular Techniques for Efficient Computation of Ideal Operations (Invited Talk)., This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps., Computer software, Electronic data processing, Computational complexity, Algebra Data processing, Computer Science, Computer science Mathematics Congresses, Science Data processing Congresses, Computer science, Computer graphics, Discrete mathematics., Algorithms., Numerical analysis., Computer arithmetic and logic units., Konferenzschrift 2012 Maribor (DE-588)1071861417 (DE-627)826484824 (DE-576)433375485 gnd-content, s (DE-588)4338507-2 (DE-627)152411437 (DE-576)211389161 Wissenschaftliches Rechnen gnd, s (DE-588)4010449-7 (DE-627)10441927X (DE-576)208888098 Computeralgebra gnd, DE-101, (DE-627), Koepf, Wolfram oth, Mayr, Ernst W. (DE-627)1232176869 (DE-576)162176864 oth, Vorožcov, Evgenij V. 1946- (DE-588)121730611 (DE-627)081497288 (DE-576)166521361 oth, 9783642329722, Buchausg. u.d.T. Computer algebra in scientific computing Berlin : Springer, 2012 XIII, 362 S. (DE-627)720966736 (DE-576)379836149 3642329721 9783642329722, Lecture notes in computer science 7442 7442 (DE-627)316228877 (DE-576)093890923 (DE-600)2018930-8 1611-3349 ns, https://doi.org/10.1007/978-3-642-32973-9 X:SPRINGER Verlag lizenzpflichtig Volltext, http://dx.doi.org/10.1007/978-3-642-32973-9 Resolving-System lizenzpflichtig Volltext, https://swbplus.bsz-bw.de/bsz370654145cov.jpg V:DE-576 X:springer image/jpeg 20130405112957 Cover, https://zbmath.org/?q=an:1246.68035 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext, (DE-627)72377126X, http://dx.doi.org/10.1007/978-3-642-32973-9 DE-14, DE-14 epn:3351907850 2012-09-04T14:16:44Z, http://dx.doi.org/10.1007/978-3-642-32973-9 DE-15, DE-15 epn:3351907915 2012-09-04T14:16:44Z, http://dx.doi.org/10.1007/978-3-642-32973-9 DE-Ch1, DE-Ch1 epn:335190794X 2012-09-04T14:16:44Z, http://dx.doi.org/10.1007/978-3-642-32973-9 Zum Online-Dokument DE-Zi4, DE-Zi4 epn:3351908016 2012-09-04T14:16:44Z, http://dx.doi.org/10.1007/978-3-642-32973-9 DE-520, DE-520 epn:3351908083 2012-09-04T14:16:44Z
spellingShingle Gerdt, Vladimir P., Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings, Lecture notes in computer science, 7442, On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations -- An Algebraic Characterization of Rainbow Connectivity -- Application of the Method of Asymptotic Solution to One Multi-Parameter Problem -- A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers -- Lightweight Abstraction for Mathematical Computation in Java -- Calculation of Normal Forms of the Euler–Poisson Equations -- Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem -- Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates -- Comprehensive Involutive Systems -- A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials -- The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System -- Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics Symbolic-Numerical Calculations of -- High-/m/ Rydberg States and Decay Rates in Strong Magnetic Fields -- Quasi-stability versus Genericity -- Invariant Theory: Applications and Computations (Invited Talk) -- Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems -- On Fulton’s Algorithm for Computing Intersection Multiplicities -- A Note on the Space Complexity of Fast D-Finite Function Evaluation -- Inversion Modulo Zero-Dimensional Regular Chains -- Sparse Polynomial Powering Using Heaps -- Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems -- Parallel Reduction of Matrices in Gr¨obner Bases Computations -- Real and Complex Polynomial Root-Finding by Means of Eigen-Solving -- Root-Refining for a Polynomial Equation -- PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks -- Approximately Singular Systems and Ill-Conditioned Polynomial Systems -- Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations -- Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems -- Improving Angular Speed Uniformity by Optimal C0 Piecewise Reparameterization -- Usage of Modular Techniques for Efficient Computation of Ideal Operations (Invited Talk)., This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps., Computer software, Electronic data processing, Computational complexity, Algebra Data processing, Computer Science, Computer science Mathematics Congresses, Science Data processing Congresses, Computer science, Computer graphics, Discrete mathematics., Algorithms., Numerical analysis., Computer arithmetic and logic units., Konferenzschrift 2012 Maribor, Wissenschaftliches Rechnen, Computeralgebra
swb_id_str 370654145
title Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings
title_auth Computer Algebra in Scientific Computing 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings
title_full Computer Algebra in Scientific Computing 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov
title_fullStr Computer Algebra in Scientific Computing 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov
title_full_unstemmed Computer Algebra in Scientific Computing 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov
title_in_hierarchy 7442. Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings (2012)
title_short Computer Algebra in Scientific Computing
title_sort computer algebra in scientific computing 14th international workshop casc 2012 maribor slovenia september 3 6 2012 proceedings
title_sub 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings
title_unstemmed Computer Algebra in Scientific Computing: 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings
topic Computer software, Electronic data processing, Computational complexity, Algebra Data processing, Computer Science, Computer science Mathematics Congresses, Science Data processing Congresses, Computer science, Computer graphics, Discrete mathematics., Algorithms., Numerical analysis., Computer arithmetic and logic units., Konferenzschrift 2012 Maribor, Wissenschaftliches Rechnen, Computeralgebra
topic_facet Computer software, Electronic data processing, Computational complexity, Algebra, Computer Science, Computer science, Science, Computer graphics, Discrete mathematics., Algorithms., Numerical analysis., Computer arithmetic and logic units., Data processing, Mathematics, Konferenzschrift, Wissenschaftliches Rechnen, Computeralgebra
url https://doi.org/10.1007/978-3-642-32973-9, http://dx.doi.org/10.1007/978-3-642-32973-9, https://swbplus.bsz-bw.de/bsz370654145cov.jpg, https://zbmath.org/?q=an:1246.68035