Fast Computation of Volume Potentials by Approximate Approximations

This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world problems...

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Autori principali: Lanzara, Flavia (Autore), Maz'ya, Vladimir (Autore), Schmidt, Gunther (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edizione:1st ed. 2025.
Serie:Lecture Notes in Mathematics, 2378
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Accesso online:https://doi.org/10.1007/978-3-031-97442-7
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Sommario:
  • Chapter 1. Introduction
  • Chapter 2. Quasi-interpolation
  • Chapter 3. Approximation of integral operators
  • Chapter 4. Some other cubature problems
  • Chapter 5. Approximate solution of non-stationary problems
  • Chapter 6. Integral operators over hyper-rectangular domains.