diff --git a/docs/oracle.md b/docs/oracle.md
index 54e87f9..062d8ba 100644
--- a/docs/oracle.md
+++ b/docs/oracle.md
@@ -8,12 +8,12 @@ Generated by `cargo xtask oracle` from [`tests/oracle/`](../tests/oracle/); the
 
 | Case | Quantity | Reference | ModelCraft | Error | Tolerance | Result | Fixture |
 |---|---|---|---|---|---|---|---|
-| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | displacement of the loaded end at t = 0.06 | -6.0000e-4 | -5.9981e-4 | 0.0315% | 1% | pass | matches |
-| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | particle velocity at x = 5, 20 elements behind the front, at t = 0.06 | -0.01 | -0.0098554 | 1.45% | 2% | pass | matches |
-| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | energy balance error | 0 | 0.0015271 | 1.5e-3 | ± 0.01 | pass | matches |
-| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | displacement of the struck end at t = 0.3 (in contact until 2L/c = 0.2, then leaving at v₀) | 0.01 | 0.0099497 | -0.503% | 3% | pass | matches |
-| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | displacement of the far end at t = 0.3 (−v₀L/c, then +v₀ after the reflection) | 0.01 | 0.0099463 | -0.537% | 3% | pass | matches |
-| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | kinetic energy after the rebound over the initial ½mv₀² | 1 | 0.99469 | -0.531% | 2% | pass | matches |
+| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | displacement of the loaded end at t = 0.06 | -6.0000e-4 | -5.9980e-4 | 0.034% | 1% | pass | matches |
+| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | particle velocity at x = 5, 20 elements behind the front, at t = 0.06 | -0.01 | -0.0098552 | 1.45% | 2% | pass | matches |
+| [bar-pressure-wave](../tests/oracle/bar-pressure-wave/) | energy balance error | 0 | 0.001527 | 1.5e-3 | ± 0.01 | pass | matches |
+| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | displacement of the struck end at t = 0.3 (in contact until 2L/c = 0.2, then leaving at v₀) | 0.01 | 0.0099541 | -0.459% | 3% | pass | matches |
+| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | displacement of the far end at t = 0.3 (−v₀L/c, then +v₀ after the reflection) | 0.01 | 0.0099488 | -0.512% | 3% | pass | matches |
+| [bar-rigid-wall-impact](../tests/oracle/bar-rigid-wall-impact/) | kinetic energy after the rebound over the initial ½mv₀² | 1 | 0.99463 | -0.537% | 2% | pass | matches |
 | [cantilever-frequencies](../tests/oracle/cantilever-frequencies/) | first bending frequency (modes 1 and 2 are the y and z pair) | 0.012771 | 0.012751 | -0.158% | 1% | pass | matches |
 | [cantilever-frequencies](../tests/oracle/cantilever-frequencies/) | the other first bending frequency | 0.012771 | 0.012751 | -0.158% | 1% | pass | matches |
 | [cantilever-frequencies](../tests/oracle/cantilever-frequencies/) | second bending frequency | 0.080034 | 0.079167 | -1.08% | 2% | pass | matches |
diff --git a/tests/oracle/bar-pressure-wave/fixture.json b/tests/oracle/bar-pressure-wave/fixture.json
index 8f0c548..3d029dc 100644
--- a/tests/oracle/bar-pressure-wave/fixture.json
+++ b/tests/oracle/bar-pressure-wave/fixture.json
@@ -2,16 +2,16 @@
   "note": "ModelCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
   "values": {
     "balance": {
-      "band": 0.00001000000152706151,
-      "value": 0.001527061509461723
+      "band": 0.000010000001527014124,
+      "value": 0.0015270141220584757
     },
     "u_end": {
       "band": 6e-13,
-      "value": -0.0005998107000086691
+      "value": -0.0005997958068849671
     },
     "v_mid": {
       "band": 1.0000000000000001e-11,
-      "value": -0.00985543917252298
+      "value": -0.00985515147645196
     }
   }
 }
diff --git a/tests/oracle/bar-rigid-wall-impact/fixture.json b/tests/oracle/bar-rigid-wall-impact/fixture.json
index 3ac1d47..6a03a2d 100644
--- a/tests/oracle/bar-rigid-wall-impact/fixture.json
+++ b/tests/oracle/bar-rigid-wall-impact/fixture.json
@@ -3,15 +3,15 @@
   "values": {
     "ke": {
       "band": 1e-9,
-      "value": 0.9946927802814477
+      "value": 0.9946334652695279
     },
     "u_back": {
       "band": 1.0000000000000001e-11,
-      "value": 0.009946347263883909
+      "value": 0.009948781428081829
     },
     "u_front": {
       "band": 1e-11,
-      "value": 0.009949683285107395
+      "value": 0.009954136983299318
     }
   }
 }