03624nam 22008893a 450 991036774800332120250203235436.09783039217311303921731310.3390/books978-3-03921-731-1(CKB)4100000010106237(oapen)https://directory.doabooks.org/handle/20.500.12854/43712(ScCtBLL)1787b5d7-d46d-4228-8a65-22f83835f4b7(OCoLC)1163830383(oapen)doab43712(EXLCZ)99410000001010623720250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierComputer Algebra in Scientific ComputingAndreas WeberMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (160 p.)9783039217304 3039217305 Although 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.Computer sciencebicsscsuperpositionSU(2)pseudo-remainderinterval methodssparse polynomialselement orderHenneberg-type minimal surfacetimelike axiscombinatorial decompositionssparse data structuresmutually unbiased basesinvariant surfacesprojective special unitary groupMinkowski 4-spacefree resolutionsDini-type helicoidal hypersurfacelinearityintegrabilityGalois ringsminimum pointentanglementdegreepseudo-divisioncomputational algebrapolynomial arithmeticprojective special linear groupnormal formGalois fieldsGauss mapimplicit equationnumber of elements of the same orderWeierstrass representationLotka–Volterra systemisolated zerospolynomial modulesover-determined polynomial systemsimple Kn-groupsum of squaresfour-dimensional spaceComputer scienceWeber Andreas779718ScCtBLLScCtBLLBOOK9910367748003321Computer Algebra in Scientific Computing3024230UNINA