1 typedef struct _RKTableau *RKTableau; 2 struct _RKTableau { 3 char *name; 4 PetscInt order; /* Classical approximation order of the method i */ 5 PetscInt s; /* Number of stages */ 6 PetscInt p; /* Interpolation order */ 7 PetscBool FSAL; /* flag to indicate if tableau is FSAL */ 8 PetscReal *A,*b,*c; /* Tableau */ 9 PetscReal *bembed; /* Embedded formula of order one less (order-1) */ 10 PetscReal *binterp; /* Dense output formula */ 11 PetscReal ccfl; /* Placeholder for CFL coefficient relative to forward Euler */ 12 }; 13 typedef struct _RKTableauLink *RKTableauLink; 14 struct _RKTableauLink { 15 struct _RKTableau tab; 16 RKTableauLink next; 17 }; 18 19 typedef struct { 20 RKTableau tableau; 21 Vec X0; 22 Vec *Y; /* States computed during the step */ 23 Vec *YdotRHS; /* Function evaluations for the non-stiff part and contains all components */ 24 Vec *YdotRHS_fast; /* Function evaluations for the non-stiff part and contains fast components */ 25 Vec *YdotRHS_slow; /* Function evaluations for the non-stiff part and contains slow components */ 26 Vec *VecsDeltaLam; /* Increment of the adjoint sensitivity w.r.t IC at stage */ 27 Vec *VecsSensiTemp; 28 Vec VecDeltaMu; /* Increment of the adjoint sensitivity w.r.t P at stage */ 29 Vec *VecsDeltaLam2; /* Increment of the 2nd-order adjoint sensitivity w.r.t IC at stage */ 30 Vec VecDeltaMu2; /* Increment of the 2nd-order adjoint sensitivity w.r.t P at stage */ 31 Vec *VecsSensi2Temp; 32 PetscScalar *work; /* Scalar work */ 33 PetscInt slow; /* flag indicates call slow components solver (0) or fast components solver (1) */ 34 PetscReal stage_time; 35 TSStepStatus status; 36 PetscReal ptime; 37 PetscReal time_step; 38 PetscInt dtratio; /* ratio between slow time step size and fast step size */ 39 IS is_fast,is_slow; 40 TS subts_fast,subts_slow,subts_current,ts_root; 41 PetscBool use_multirate; 42 Mat MatFwdSensip0; 43 Mat *MatsFwdStageSensip; 44 Mat *MatsFwdSensipTemp; 45 Vec VecDeltaFwdSensipCol; /* Working vector for holding one column of the sensitivity matrix */ 46 } TS_RK; 47