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1. |
Record Nr. |
UNINA9910153139303321 |
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Autore |
Yeh Allen L (Allen Leon), <1975-> |
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Titolo |
Polycentric missiology : twenty-first-century mission from everyone to everywhere / / Allen Yeh |
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Pubbl/distr/stampa |
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Downers Grove, Illinois : , : IVP Academic, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (277 pages) |
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Disciplina |
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Soggetti |
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Missions - History - 20th century |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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2. |
Record Nr. |
UNINA9911022457703321 |
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Autore |
Lanzara Flavia |
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Titolo |
Fast Computation of Volume Potentials by Approximate Approximations / / by Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (516 pages) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 2378 |
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Altri autori (Persone) |
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Mazʹi︠a︡V. G |
SchmidtGünther |
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Disciplina |
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Soggetti |
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Approximation theory |
Numerical analysis |
Approximations and Expansions |
Numerical Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral |
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operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. |
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