Results 51 to 60 of about 491,048 (337)

Feynman Diagrams and Differential Equations

, 2007
We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two ...
Anastasiou C., Anastasiou C., Bern Z., Bern Z., Bern Z., Bern Z., Binoth T., Birthwright T. G., Bollini C. G., Bonciani R., Bonciani R., Caffo M., Caffo M., Caffo M., Collins J. C., Czachor M., Davydychev A. I., Davydychev A. I., De Freitas A., Dunne G. V., Dunne G. V., Glover E. W. N., Glover E. W. N., Golubeva V. A., Golubeva V. A., Golubeva V. A., Golubeva V. A., Kashiwara M., Källen G., Laporta S., Laporta S., MARIO ARGERI, PIERPAOLO MASTROLIA, Remiddi E., Remiddi E., Rufa G., Schroder Y., Smirnov A. V.   +37 more
core   +1 more source

On Gauge Theory and Topological String in Nekrasov-Shatashvili Limit

, 2012
We study the Nekrasov-Shatashvili limit of the N=2 supersymmetric gauge theory and topological string theory on certain local toric Calabi-Yau manifolds. In this limit one of the two deformation parameters \epsilon_{1,2} of the Omega background is set to
A Iqbal, A Mironov, A Mironov, B Eynard, B Haghighat, D Krefl, F Fucito, H-Y Chen, Huang M-x, LF Alday, M Aganagic, M Aganagic, M Bershadsky, M Mariño, M Matone, M-x Huang, Min-xin Huang, N Seiberg, N Seiberg, NA Nekrasov, PC Argyres, R Dijkgraaf, R Poghossian, TW Grimm, Y Ohta, Y Ohta   +25 more
core   +1 more source

The Magnus expansion and some of its applications [PDF]

, 2008
Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory.
Abramowitz, Agrachev, Agrachev, Aparicio, Arnold, Bailey, Baker, Baker, Baye, Baye, Belinfante, Bellman, Berry, Berry, Bialynicki-Birula, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Blanes, Bloch, Brockett, Budd, Bullo, Burrage, Burrage, Burum, Butcher, Cady, Calvo, Campbell, Casas, Casas, Casas, Casas, Casas, Celledoni, Celledoni, Chacon, Chan, Chang, Chen, Chu, Coddington, Connes, Connes, Dahmen, Dahmen, Dahmen, Dahmen, Dattoli, Degani, Devries, Dieci, Dieci, Diele, Dixmier, Dragt, Druskin, Duleba, Duleba, Dunford, Dynkin, Dyson, D’olivo, D’Olivo, D’Olivo, Eichler, Engwerda, Erdelyi, Ernst, Evans, F. Casas, Feng, Fer, Feynman, Fliess, Friedrichs, Galindo, Gamkrelidze, Gantmacher, Garrido, Golub, Gorbatsevich, Gray, Greenberg, Gronwall, Haeberlen, Hairer, Hairer, Hale, Hausdorff, Hochbruck, Hochbruck, Hochbruck, Hochbruck, Horn, Hunter, Hyman, Ince, Ionescu, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, J. Ros, J.A. Oteo, Jahnke, Jahnke, Jiang, Jódar, Jódar, Kalman, Karasev, Kawski, Kenney, Khan, Klarsfeld, Klarsfeld, Klarsfeld, Klarsfeld, Klarsfeld, Klarsfeld, Kloeden, Kumar, Lam, Lefebvre, Leforestier, Leimkuhler, Levante, Lord, Lorenz, Lu, Lu, Lu, Lu, Lubich, López-Ariste, López-Ariste, Magnus, Magnus, Malham, Malham, Marcus, Marthinsen, Maruyama, Mclachlan, Mclachlan, Mielnik, Milfeld, Misawa, Moan, Moan, Moan, Moler, Moler, Moore, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Munthe-Kaas, Murray, Murua, Naimark, Najfeld, Olver, Oteo, Oteo, Oteo, Park, Pechukas, Platen, Postnikov, Prato, Pryce, Reid, Reimer, Reimer, Robinson, Rosen, Rossmann, S. Blanes, Saito, Salzman, San Miguel, Sanz-Serna, Schek, Schiff, Schur, Semel, Sidje, Spirig, Stefanovich, Strichartz, Supanitsky, Suárez, Sáenz, Süli, Tal-Ezer, Tani, Thalhammer, Thirring, Tyrtyshnikov, Vandersypen, Veshtort, Viswanath, Voslamber, Watkins, Waugh, Wei, Wei, Wei, Weiss, Wilcox, Wille, Wille, Yakubovich, Zanna, Zanna, Zanna, Zettl   +235 more
core   +6 more sources

Development and Application of the Fourier Method to the Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals

, 2022
The article is devoted to the mean-square approximation of iterated Ito and Stratonovich stochastic integrals in the context of the numerical integration of Ito stochastic differential equations.
Kuznetsov, Dmitriy F.
core   +1 more source

The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations

Heliyon, 2020
This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate ...
Hector Vazquez-Leal, Mario Alberto Sandoval-Hernandez, Uriel Filobello-Nino, Jesus Huerta-Chua   +3 more
doaj   +1 more source

On an explicit representation of the solution of linear stochastic partial differential equations with delays [PDF]

, 2011
Based on the analysis of a certain class of linear operators on a Banach space, we provide a closed form expression for the solutions of certain linear partial differential equations with non-autonomous input, time delays and stochastic terms, which ...
Galtier, Mathieu, Touboul, Jonathan
core   +5 more sources

Planarly branched rough paths and rough differential equations on homogeneous spaces [PDF]

Journal of Differential Equations, 2018
This work studies rough differential equations (RDEs) on homogeneous spaces. We provide an explicit expansion of the solution at each point of the real line using decorated planar forests.
Charles Curry, K. Ebrahimi-Fard, D. Manchon, H. Munthe-Kaas   +3 more
semanticscholar   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

New exact solitary wave solutions to the space-time fractional differential equations with conformable derivative

AIMS Mathematics, 2019
The exact wave solutions to the space-time fractional modified Benjamin-Bona-Mahony (mBBM) and space time fractional Zakharov-Kuznetsov Benjamin-Bona-Mahony (ZKBBM) equations are studied in the sense of conformable derivative. The existence of chain rule
M. Hafiz Uddin, M. Ali Akbar, Md. Ashrafuzzaman Khan, Md. Abdul Haque   +3 more
doaj   +1 more source

Seiberg-Witten map for noncommutative super Yang-Mills theory

, 2002
In this letter we derive the Seiberg-Witten map for noncommutative super Yang-Mills theory in Wess-Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz ...
Bichl A., Chepelev I., R. Wulkenhaar, Seiberg N., V. Putz, Wulkenhaar R.   +5 more
core   +1 more source