Research in Scientific Computation - SERC

More documents

Recommendations

Info

Research Areas ● ● ● Computational Methods – Primarily Physical Systems Modeled by Constrained Dynamical Systems – Numerical Algorithms – Software Implementation Application Areas – Cell Biochemical Systems Signal Transduction – Nano mechanical and electrical systems – Trajectory Optimization (Control/Guidance Planning) Mathematical Models – DAEs, SDAEs, discrete dynamical systems, stiff ODEs with uncertain parameters
Constrained Dynamics Models in ● ● Mathematical Issues: Biology – DifferentialAlgebraic Equations ● Index 2 or Higher ● Nonsmooth non linear algebraic constraint equations ● Numerical stability and convergence issues – Embedded with Partial Differential Equations: ● PDAE with NavierStokes Equations: Analysis, Integration – MultiScale: Adaptive resolution change: analytical framework Biological Impact – Faster Molecular Dynamics, models closer to chemical reality – Calibrating biochemical tests directly to malignant tissue growth
Page 1: Research in Scientific Computation
Page 5 and 6: Cell Dynamics ● ● ● Multiscal
Page 7 and 8: Classical Dynamics Approach 2 d X M
Page 9 and 10: Micromechanical System: CMOS fabr
Page 11 and 12: Generalizedalpha Method (Chung an
Page 13 and 14: ● Second Order SDE Structural dyn
Page 15 and 16: ItoTaylor Expansion Strong order
Page 17 and 18: The Stochastic alpha Method x n1 =x
Page 19 and 20: Spectral Radius of the Amplificatio
Page 21 and 22: Stochastic Perturbation ● ● We
Page 23 and 24: Parameters and ≈ 1− 2 h 16 O
Page 25 and 26: Stability: Schur Decomposition of A
Page 27 and 28: ● Asymptotic Stability As ∣∣0
Page 29 and 30: Elastic Beam ● Elastic beam clamp
Page 31 and 32: dx=u dt dy =v dt d =w dt Noisy Bush
Page 34 and 35: Further Research Opportunities ●
Page 36 and 37: Optimal Control Problem 1 Minimize
Page 38 and 39: Control of a Linear Train x_i x_n x
Page 40 and 41: ● ● ● ● ● Issues with Hig
Page 42 and 43: Simplified Overview of SQP ● ●
Page 44 and 45: Basis Matrix and High Index ● ●
Page 46 and 47: ● ● ● Perturbing Discretizati
Page 48 and 49: Perturbation theory of Singular Val
Page 50 and 51: Generalized Alpha Method (contd)
Page 52 and 53:
Structure of the (DAE) Basis Matrix
Page 54 and 55:
Equivalence of Transcription Formul
Page 57 and 58:
Reentry of a Reusable Launch Vehicl
Page 59 and 60:
● ● Converges for rho = 0.75 do
Page 61:
Further Research ● ● ● Onli
show all

Research in Scientific Computation - SERC

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?