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Time - Dependent Problems And Difference Methods, 2Nd Edition
Bertil Gustafsson, Heinz - Otto Kreiss, Joseph Oliger (Autor)
·
Wiley
· Libro Físico
Time - Dependent Problems And Difference Methods, 2Nd Edition - Bertil Gustafsson, Heinz - Otto Kreiss, Joseph Oliger
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Reseña del libro "Time - Dependent Problems And Difference Methods, 2Nd Edition"
Written By Authors Who Are At The Forefront Of The Field, This Book Is Divided Into Two Parts: Part I Discusses Problems With Periodic Solutions, And Part Ii, Which Has Been Completely Rewritten, Discusses Initial Boundary Value Problems For Partial Differential Equations And Numerical Methods For Them. The Problems With Periodic Solutions Have Been Chosen Since They Allow The Application Of Fourier Analysis Without The Complication That Arises From The Infinite Domain For The Corresponding Cauchy Problem. Furthermore, The Analysis Of Periodic Problems Provides Necessary Conditions When Constructing Methods For Initial Boundary Value Problems. Much Of The Material Included In Part Ii Appeared For The First Time In The First Edition Of This Book. The Authors Draw On Their Own Interests And Combined Extensive Experience In Applied Mathematics And Computer Science To Bring About This Practical And Useful Guide. They Also Provide Complete Discussions Of The Pertinent Theorems And Back Them Up With Examples And Illustrations. The Book Covers The Analysis Of Numerical Methods For Computing Approximate Solutions To Partial Differential Equations For Time Dependent Problems. The Second Edition Features New Coverage On Hyperbolic First Order Systems On Structured Grids With A Focus On The Boundaries Treated By Special Difference Approximations. This Approach Allows The Difference Methods To Be Very Competitive Compared To Methods On Unstructured Grids. This New Edition Also Contains New Coverage Of Artificial Boundary Conditions And How To Treat Problems Where The Computational Domain Has Been Truncated, I. E. For External Flow Problems. This Is An Important Issue From An Application Point Of View, But No Satisfactory Coherent Presentation Currently Exists. This Original Book Includes A Concrete Discussion Of Initial Boundary Value Problems For Partial Differential Equations. The Authors Have Redone Many Of These Results Especially For This Volume, Including Theorems, Examples, And Over One Hundred Illustrations
