000 03629nam a22005295i 4500
001 978-981-19-3250-2
003 DE-He213
005 20240207153655.0
007 cr nn 008mamaa
008 220902s2023 si | s |||| 0|eng d
020 _a9789811932502
_9978-981-19-3250-2
050 4 _aTK7800-8360
072 7 _aTJF
_2bicssc
072 7 _aTEC008000
_2bisacsh
072 7 _aTJF
_2thema
082 0 4 _a621.381
_223
100 1 _aYu, Wenjian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMonte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation
_h[electronic resource] /
_cby Wenjian Yu, Michael Mascagni.
250 _a1st ed. 2023.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2023.
300 _aXIV, 253 p. 125 illus., 91 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
500 _aAcceso multiusuario
505 0 _aIntroduction -- Monte Carlo Method for Solving PDE -- A Monte Carlo Algorithm for the Telegrapher's Equations -- Basics of Floating Random Walk Method for Capacitance Extraction -- Pre-Characterization Techniques for FRW Based Capacitance Extraction -- Fast FRW Solver for 3-D Structures with Cylindrical Inter-Tier-Vias -- Fast FRW Solver for Structures with Non-Manhattan Conductors -- Technique for Capacitance Simulation with General Floating Metals -- Markov-Chain Random Walk and Macromodel-Aware Capacitance Extraction -- GPU-Friendly FRW Algorithm for Capacitance Extraction -- Distributed Parallel FRW Algorithm for Capacitance Simulation -- A Hybrid Random Walk Algorithm for 3-D Thermal Analysis.
520 _aThe Monte Carlo method is one of the top 10 algorithms in the 20th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design automation (EDA) problems. Compared with the traditional method, the Monte Carlo method is more efficient when point values or linear functional of the solution are needed, and has the advantages on scalability, parallelism, and stability of accuracy. This book presents a systematic introduction to the Monte Carlo method for solving major kinds of PDEs, and the detailed explanation of relevant techniques for EDA problems especially the cutting-edge algorithms of random walk based capacitance extraction. It includes about 100 figures and 50 tables, and brings the reader a close look to the newest research results and the sophisticated algorithmic skills in Monte Carlo simulation software.
541 _fUABC ;
_cPerpetuidad
650 0 _aElectronics.
650 0 _aEngineering mathematics.
650 1 4 _aElectronics and Microelectronics, Instrumentation.
650 2 4 _aEngineering Mathematics.
700 1 _aMascagni, Michael.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811932496
776 0 8 _iPrinted edition:
_z9789811932519
776 0 8 _iPrinted edition:
_z9789811932526
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-981-19-3250-2
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c262440
_d262439