Design of optimal Runge-Kutta methods - FEniCS Project

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Time Integration Using a better time integrator is usually simple but can be highly beneficial. D. Ketcheson (KAUST) 6 / 36
Time Integration Using a better time integrator is usually simple but can be highly beneficial. Using a different time integrator can: Reduce the number <strong>of</strong> RHS evaluations required D. Ketcheson (KAUST) 6 / 36
Page 1 and 2: Design of optimal Runge-Kutta metho
Page 3 and 4: Outline 1 High order Runge-Kutta me
Page 5 and 6: Solution of hyperbolic PDEs The fun
Page 7 and 8: Solution of hyperbolic PDEs The fun
Page 9: Solution of hyperbolic PDEs The fun
Page 13 and 14: Time Integration Using a better tim
Page 15 and 16: Time Integration Using a better tim
Page 17 and 18: Runge-Kutta Methods To solve the in
Page 19 and 20: Outline 1 High order Runge-Kutta me
Page 21 and 22: The Stability Function For the line
Page 23 and 24: Absolute Stability For the linear e
Page 25 and 26: Stability optimization This leads n
Page 27 and 28: Stability Optimization: a toy examp
Page 29 and 30: Stability Optimization: a toy examp
Page 31 and 32: Stability Optimization: one more ex
Page 33 and 34: Stability Optimization: one more ex
Page 35 and 36: Nonlinear accuracy Besides the cond
Page 37 and 38: Strong stability preservation Desig
Page 39 and 40: Strong stability preservation Desig
Page 41 and 42: The Forward Euler condition Recall
Page 43 and 44: Runge-Kutta methods as a convex com
Page 45 and 46: Example: A highly oscillatory flow
Page 47 and 48: Low storage methods 3S Algorithm S3
Page 49 and 50: Two-step optimization process Our o
Page 51 and 52: Two-step optimization process Our o
Page 53 and 54: Optimizing for the SD spectrum On r
Page 55 and 56: Optimizing for the SD spectrum Prim
Page 57 and 58: Application: flow past a wedge Dens

Design of optimal Runge-Kutta methods - FEniCS Project

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