Stefan Siegmund

Numerical Analysis · 2001–2017

A researcher in the Science corpus: 9 papers; trusts 9 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 20 citations into it; #2,773 of 3,586 by trust here, #2,242 by citations
• Modeling and Simulation — 19 citations into it
• Applied Mathematics — 10 citations into it; #4,590 of 7,620 by trust here, #6,241 by citations
• Control and Systems Engineering — 7 citations into it; #4,072 of 8,257 by trust here, #3,255 by citations
• Computational Theory and Mathematics — 5 citations into it; #11,919 of 12,182 by trust here, #7,851 by citations
• Computer Networks and Communications — 5 citations into it; #4,313 of 9,886 by trust here, #6,788 by citations

Whom Stefan Siegmund trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Kai Diethelm
2. Igor D. Chueshov
3. L. Arnold
4. Anatoly A. Kilbas
5. M. Scheutzow

Who trusts Stefan Siegmund overall

1. Luu Hoang Duc
2. Achim Ilchmann
3. Ana M. Mancho
4. Qamar Din
5. Peter Taraba
6. Des Small
7. Jeffrey J. Dacunha

Papers from Stefan Siegmund's perspective

Ordered by how strongly the researchers Stefan Siegmund trusts endorse each paper. Same corpus, a different order for every researcher.

1. Theory and Applications of Fractional Differential Equations
2. The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
3. Fractional Calculus: Models and Numerical Methods
4. ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
5. INVARIANT MANIFOLDS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
6. Equilibrium points, stability and numerical solutions of fractional-order predator–prey and rabies models
7. Local mapping relations and global implicit function theorems
8. Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics
9. Normal Forms for Nonautonomous Differential Equations
10. Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems

Their papers

• A spectral characterization of exponential stability for linear time-invariant systems on time scales (2003) — 158 citations
• Bifurcations and chaos in a discrete predator–prey model with Crowley–Martin functional response (2017) — 56 citations
• Asymptotic behavior of solutions of linear multi-order fractional differential systems (2017) — 53 citations
• Linearized Asymptotic Stability for Fractional Differential Equations (2015) — 69 citations
• On stability of linear time-varying second-order differential equations (2006) — 49 citations
• Pullback Attracting Inertial Manifolds for Nonautonomous Dynamical Systems (2002) — 47 citations
• Normal Forms for Nonautonomous Differential Equations (2002) — 55 citations
• Dichotomy Spectrum for Nonautonomous Differential Equations (2002) — 101 citations
• The dichotomy spectrum for noninvertible systems of linear difference equations (2001) — 74 citations