Order Stars: Theory and ApplicationsCRC Press, 2020-11-25 - 248 psl. This book familiarizes the mathematical community with an analytic tool that is capable of so many applications and presents a list of open problems which might be amenable to analysis with order stars. |
Turinys
| 1 | |
2 General order stars | 9 |
3 Rational approximants to the exponential | 28 |
4 Aacceptability barriers | 50 |
5 Multistep methods | 92 |
6 The advection equation | 120 |
7 The diffusion equation | 155 |
8 Padé approximants | 177 |
9 Contractive approximation | 193 |
10 Open problems | 207 |
| 228 | |
| 239 | |
| 242 | |
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Pagrindiniai terminai ir frazės
A-acceptable A-stable According adjoin already analysis analytic analytic function application approach argument assume At-regions axis barrier belong boundary bounded branch Chapter coefficients complex condition Consequently consider constant count course defined definition denote derive differential equations discretization displays easy entire error essential singularities exactly Example exists explicit exponential Figure Finally finite follows function further given half-plane hence imaginary implies important inequality interest interpolation points interval Iserles kind leads least Lemma linear mathematical maximal means method Moreover multiplicity multistep negative Nørsett Note obeys optimal order stars origin Padé approximants particular poles polynomial possible precisely present problem produces proof Proposition prove rational function remaining require respectively restricted root scheme sectors sectors of A+ semi-discretization single solution stability Suppose Theorem theory true underlying values yields zeros