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Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12, 2014. Proceedings (Paperback, 2014 ed.)
Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov
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R3,099
Discovery Miles 30 990
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Ships in 10 - 15 working days
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This book constitutes the proceedings of the 16th International
Workshop on Computer Algebra in Scientific Computing, CASC 2014,
held in Warsaw, Poland, in September 2014. The 33 full papers
presented were carefully reviewed and selected for inclusion in
this book. The papers address issues such as Studies in polynomial
algebra are represented by contributions devoted to factoring
sparse bivariate polynomials using the priority queue, the
construction of irreducible polynomials by using the Newton index,
real polynomial root finding by means of matrix and polynomial
iterations, application of the eigenvalue method with symmetry for
solving polynomial systems arising in the vibration analysis of
mechanical structures with symmetry properties, application of
Groebner systems for computing the (absolute) reduction number of
polynomial ideals, the application of cylindrical algebraic
decomposition for solving the quantifier elimination problems,
certification of approximate roots of overdetermined and singular
polynomial systems via the recovery of an exact rational univariate
representation from approximate numerical data, new parallel
algorithms for operations on univariate polynomials (multi-point
evaluation, interpolation) based on subproduct tree techniques.
As long as algebra and geometry proceeded along separate paths,
their advance was slow and their applications limited. But when
these sciences joined company they drew from each other fresh
vitality and thenceforward marched on at rapid pace towards
perfection Joseph L. Lagrange The theory of differential equations
is one of the largest elds within mathematics and probably most
graduates in mathematics have attended at least one course on
differentialequations. But differentialequationsare also
offundamentalimportance in most applied sciences; whenever a
continuous process is modelled mathem- ically, chances are high
that differential equations appear. So it does not surprise that
many textbooks exist on both ordinary and partial differential
equations. But the huge majority of these books makes an implicit
assumption on the structure of the equations: either one deals with
scalar equations or with normal systems, i. e. with systems in
Cauchy-Kovalevskaya form. The main topic of this book is what
happens, if this popular assumption is dropped. This is not just an
academic exercise; non-normal systems are ubiquitous in -
plications. Classical examples include the incompressible
Navier-Stokes equations of uid dynamics, Maxwell's equations of
electrodynamics, the Yang-Mills eq- tions of the fundamental gauge
theories in modern particle physics or Einstein's equations of
general relativity. But also the simulation and control of
multibody systems, electrical circuits or chemical reactions lead
to non-normal systems of - dinary differential equations, often
called differential algebraic equations. In fact, most of the
differentialequationsnowadaysencounteredby engineersand scientists
are probably not normal.
As long as algebra and geometry proceeded along separate paths,
their advance was slow and their applications limited. But when
these sciences joined company they drew from each other fresh
vitality and thenceforward marched on at rapid pace towards
perfection Joseph L. Lagrange The theory of differential equations
is one of the largest elds within mathematics and probably most
graduates in mathematics have attended at least one course on
differentialequations. But differentialequationsare also
offundamentalimportance in most applied sciences; whenever a
continuous process is modelled mathem- ically, chances are high
that differential equations appear. So it does not surprise that
many textbooks exist on both ordinary and partial differential
equations. But the huge majority of these books makes an implicit
assumption on the structure of the equations: either one deals with
scalar equations or with normal systems, i. e. with systems in
Cauchy-Kovalevskaya form. The main topic of this book is what
happens, if this popular assumption is dropped. This is not just an
academic exercise; non-normal systems are ubiquitous in -
plications. Classical examples include the incompressible
Navier-Stokes equations of uid dynamics, Maxwell's equations of
electrodynamics, the Yang-Mills eq- tions of the fundamental gauge
theories in modern particle physics or Einstein's equations of
general relativity. But also the simulation and control of
multibody systems, electrical circuits or chemical reactions lead
to non-normal systems of - dinary differential equations, often
called differential algebraic equations. In fact, most of the
differentialequationsnowadaysencounteredby engineersand scientists
are probably not normal.
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Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Moscow, Russia, August 26-30, 2019, Proceedings (Paperback, 1st ed. 2019)
Matthew England, Wolfram Koepf, Timur M. Sadykov, Werner M. Seiler, Evgenii V. Vorozhtsov
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R1,620
Discovery Miles 16 200
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Ships in 10 - 15 working days
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This book constitutes the refereed proceedings of the 21st
International Workshop on Computer Algebra in Scientific Computing,
CASC 2019, held in Moscow, Russia, in August 2019. The 28 full
papers presented together with 2 invited talks were carefully
reviewed and selected from 44 submissions. They deal with
cutting-edge research in all major disciplines of computer algebra.
The papers cover topics such as polynomial algebra, symbolic and
symbolic-numerical computation, applications of symbolic
computation for investigating and solving ordinary differential
equations, applications of CASs in the investigation and solution
of celestial mechanics problems, and in mechanics, physics, and
robotics.
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Computer Algebra in Scientific Computing - 20th International Workshop, CASC 2018, Lille, France, September 17-21, 2018, Proceedings (Paperback, 1st ed. 2018)
Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov
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R1,971
Discovery Miles 19 710
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Ships in 10 - 15 working days
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This book constitutes the proceedings of the 20th International
Workshop on Computer Algebra in Scientific Computing, CASC 2018,
held in Lille, France, in September 2018. The 24 full papers of
this volume presented with an abstract of an invited talk and one
paper corresponding to another invited talk were carefully reviewed
and selected from 29 submissions. They deal with cutting-edge
research in all major disciplines of computer algebra in sciences
such as physics, chemistry, life sciences, and engineering. Chapter
"Positive Solutions of Systems of Signed Parametric Polynomial
Inequalities" is available open access under a Creative Commons
Attribution 4.0 International License via link.springer.com.
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Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings (Paperback, 1st ed. 2017)
Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov
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R2,234
Discovery Miles 22 340
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Ships in 10 - 15 working days
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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.
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Computer Algebra in Scientific Computing - 18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings (Paperback, 1st ed. 2016)
Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov
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R3,136
Discovery Miles 31 360
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Ships in 10 - 15 working days
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This book constitutes the proceedings of the 18th International
Workshop on Computer Algebra in Scientific Computing, CASC 2016,
held in Bucharest, Romania, in September 2016. The 32 papers
presented in this volume were carefully reviewed and selected from
39 submissions. They deal with cutting-edge research in all major
disciplines of Computer Algebra.
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