LEADER 04944nam 22008175 450 001 9910686478703321 005 20240130165511.0 010 $a3-030-92495-5 024 7 $a10.1007/978-3-030-92495-9 035 $a(MiAaPQ)EBC7235419 035 $a(Au-PeEL)EBL7235419 035 $a(DE-He213)978-3-030-92495-9 035 $a(OCoLC)1380467013 035 $a(PPN)269658696 035 $a(CKB)26428010600041 035 $a(EXLCZ)9926428010600041 100 $a20230407d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Geosciences $eHybrid Symbolic-Numeric Methods /$fby Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi 205 $a2nd ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (733 pages) 311 08$aPrint version: Awange, Joseph L. Mathematical Geosciences Cham : Springer International Publishing AG,c2023 9783030924942 327 $aIntroduction -- Solution of nonlinear systems -- Solution of algebraic polynomial systems -- Homotopy solution of nonlinear systems -- Over and underdeterminated systems -- Nonlinear geodetic equations with uncertainties -- Optimization of systems -- Simulated annealing. 330 $aThis second edition of Mathematical Geosciences book adds five new topics: Solution equations with uncertainty, which proposes two novel methods for solving nonlinear geodetic equations as stochastic variables when the parameters of these equations have uncertainty characterized by probability distribution. The first method, an algebraic technique, partly employs symbolic computations and is applicable to polynomial systems having different uncertainty distributions of the parameters. The second method, a numerical technique, uses stochastic differential equation in Ito form; Nature Inspired Global Optimization where Meta-heuristic algorithms are based on natural phenomenon such as Particle Swarm Optimization. This approach simulates, e.g., schools of fish or flocks of birds, and is extended through discussion of geodetic applications. Black Hole Algorithm, which is based on the black hole phenomena is added and a new variant of the algorithm code is introduced and illustrated based on examples; The application of the Gröbner Basis to integer programming based on numeric symbolic computation is introduced and illustrated by solving some standard problems; An extension of the applications of integer programming solving phase ambiguity in Global Navigation Satellite Systems (GNSSs) is considered as a global quadratic mixed integer programming task, which can be transformed into a pure integer problem with a given digit of accuracy. Three alternative algorithms are suggested, two of which are based on local and global linearization via McCormic Envelopes; and Machine learning techniques (MLT) that offer effective tools for stochastic process modelling. The Stochastic Modelling section is extended by the stochastic modelling via MLT and their effectiveness is compared with that of the modelling via stochastic differential equations (SDE). Mixing MLT with SDE also known as frequently Neural Differential Equations is also introduced and illustrated by an image classification via a regression problem. 606 $aEarth sciences 606 $aEnvironmental sciences?Mathematics 606 $aGeography?Mathematics 606 $aMathematical physics 606 $aPhysical geography 606 $aGeophysics 606 $aEarth Sciences 606 $aMathematical Applications in Environmental Science 606 $aMathematics of Planet Earth 606 $aMathematical Methods in Physics 606 $aEarth System Sciences 606 $aGeophysics 606 $aGeologia aplicada$2thub 606 $aMatemŕtica$2thub 608 $aLlibres electrňnics$2thub 615 0$aEarth sciences. 615 0$aEnvironmental sciences?Mathematics. 615 0$aGeography?Mathematics. 615 0$aMathematical physics. 615 0$aPhysical geography. 615 0$aGeophysics. 615 14$aEarth Sciences. 615 24$aMathematical Applications in Environmental Science. 615 24$aMathematics of Planet Earth. 615 24$aMathematical Methods in Physics. 615 24$aEarth System Sciences. 615 24$aGeophysics. 615 7$aGeologia aplicada 615 7$aMatemŕtica 676 $a550.151 676 $a550.151 700 $aAwange$b Joseph L$0719102 701 $aPaláncz$b Béla$01075535 701 $aLewis$b Robert H$0153032 701 $aVölgyesi$b Lajos$01075536 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910686478703321 996 $aMathematical Geosciences$93089354 997 $aUNINA