LEADER 03624nam 22008893a 450 001 9910367748003321 005 20250203235436.0 010 $a9783039217311 010 $a3039217313 024 8 $a10.3390/books978-3-03921-731-1 035 $a(CKB)4100000010106237 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/43712 035 $a(ScCtBLL)1787b5d7-d46d-4228-8a65-22f83835f4b7 035 $a(OCoLC)1163830383 035 $a(oapen)doab43712 035 $a(EXLCZ)994100000010106237 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aComputer Algebra in Scientific Computing$fAndreas Weber 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (160 p.) 311 08$a9783039217304 311 08$a3039217305 330 $aAlthough scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational answers generally provided by these methods are very appealing as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviors. This book contains 8 original research articles dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers over methods for certifying the isolated zeros of polynomial systems to computer algebra problems in quantum computing. 606 $aComputer science$2bicssc 610 $asuperposition 610 $aSU(2) 610 $apseudo-remainder 610 $ainterval methods 610 $asparse polynomials 610 $aelement order 610 $aHenneberg-type minimal surface 610 $atimelike axis 610 $acombinatorial decompositions 610 $asparse data structures 610 $amutually unbiased bases 610 $ainvariant surfaces 610 $aprojective special unitary group 610 $aMinkowski 4-space 610 $afree resolutions 610 $aDini-type helicoidal hypersurface 610 $alinearity 610 $aintegrability 610 $aGalois rings 610 $aminimum point 610 $aentanglement 610 $adegree 610 $apseudo-division 610 $acomputational algebra 610 $apolynomial arithmetic 610 $aprojective special linear group 610 $anormal form 610 $aGalois fields 610 $aGauss map 610 $aimplicit equation 610 $anumber of elements of the same order 610 $aWeierstrass representation 610 $aLotka?Volterra system 610 $aisolated zeros 610 $apolynomial modules 610 $aover-determined polynomial system 610 $asimple Kn-group 610 $asum of squares 610 $afour-dimensional space 615 7$aComputer science 700 $aWeber$b Andreas$0779718 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910367748003321 996 $aComputer Algebra in Scientific Computing$93024230 997 $aUNINA