diff --git a/src/main/java/org/neuroml/export/neuron/NeuronWriter.java b/src/main/java/org/neuroml/export/neuron/NeuronWriter.java
index 927e4be5..c6f4b65a 100644
--- a/src/main/java/org/neuroml/export/neuron/NeuronWriter.java
+++ b/src/main/java/org/neuroml/export/neuron/NeuronWriter.java
@@ -34,6 +34,7 @@
 import org.lemsml.jlems.core.type.Property;
 import org.lemsml.jlems.core.type.Requirement;
 import org.lemsml.jlems.core.type.Target;
+import org.lemsml.jlems.core.type.Meta;
 import org.lemsml.jlems.core.type.dynamics.Case;
 import org.lemsml.jlems.core.type.dynamics.ConditionalDerivedVariable;
 import org.lemsml.jlems.core.type.dynamics.DerivedVariable;
@@ -329,7 +330,6 @@ public String getMainScript() throws GenerationException, NeuroMLException
 
 
             Target target = lems.getTarget();
-
             Component simCpt = target.getComponent();
 
             String len = simCpt.getStringValue("length");
@@ -340,21 +340,49 @@ public String getMainScript() throws GenerationException, NeuroMLException
                 len = "" + Float.parseFloat(len) * 1000;
             }
 
-            String dt = simCpt.getStringValue("step");
-            dt = dt.replaceAll("ms", "").trim();
-            if(dt.indexOf("s") > 0)
+            /* cvode usage:
+             * https://nrn.readthedocs.io/en/latest/hoc/simctrl/cvode.html
+             * - we do not currently support the local variable time step method
+             */
+            boolean nrn_cvode = false;
+            String dt = "0.01";
+            /* defaults from NEURON */
+            String abs_tol = "None";
+            String rel_tol = "None";
+            LemsCollection<Meta> metas = simCpt.metas;
+            for(Meta m : metas)
             {
-                dt = dt.replaceAll("s", "").trim();
-                dt = "" + Float.parseFloat(dt) * 1000;
+                HashMap<String, String> attributes = m.getAttributes();
+                if (attributes.getOrDefault("for", "").equals("neuron"))
+                {
+                    if (attributes.getOrDefault("method", "").equals("cvode"))
+                    {
+                        nrn_cvode = true;
+                        abs_tol = attributes.getOrDefault("abs_tolerance", abs_tol);
+                        rel_tol = attributes.getOrDefault("rel_tolerance", rel_tol);
+                        E.info("CVode with abs_tol="+abs_tol+" , rel_tol="+rel_tol+" selected for NEURON simulation");
+                    }
+                }
+
             }
 
+            if (nrn_cvode == false)
+            {
+                dt = simCpt.getStringValue("step");
+                dt = dt.replaceAll("ms", "").trim();
+                if(dt.indexOf("s") > 0)
+                {
+                    dt = dt.replaceAll("s", "").trim();
+                    dt = "" + Float.parseFloat(dt) * 1000;
+                }
+            }
 
             main.append("class NeuronSimulation():\n\n");
             int seed = DLemsWriter.DEFAULT_SEED;
             if (simCpt.hasStringValue("seed"))
                 seed = Integer.parseInt(simCpt.getStringValue("seed"));
 
-            main.append("    def __init__(self, tstop, dt, seed="+seed+"):\n\n");
+            main.append("    def __init__(self, tstop, dt=None, seed="+seed+", abs_tol=None, rel_tol=None):\n\n");
 
 
             Component targetComp = simCpt.getRefComponents().get("target");
@@ -362,6 +390,8 @@ public String getMainScript() throws GenerationException, NeuroMLException
             main.append(bIndent+"print(\"\\n    Starting simulation in NEURON of %sms generated from NeuroML2 model...\\n\"%tstop)\n\n");
             main.append(bIndent+"self.setup_start = time.time()\n");
             main.append(bIndent+"self.seed = seed\n");
+            main.append(bIndent+"self.abs_tol = abs_tol\n");
+            main.append(bIndent+"self.rel_tol = rel_tol\n");
 
             if (target.reportFile!=null)
             {
@@ -1306,8 +1336,14 @@ else if(cc.getComponentType().isOrExtends(NeuroMLElements.CONTINUOUS_CONNECTION_
             main.append(toRec);
 
             main.append(bIndent+"h.tstop = tstop\n\n");
-            main.append(bIndent+"h.dt = dt\n\n");
-            main.append(bIndent+"h.steps_per_ms = 1/h.dt\n\n");
+            main.append(bIndent+"if self.abs_tol is not None and self.rel_tol is not None:\n");
+            main.append(bIndent+"    cvode = h.CVode()\n");
+            main.append(bIndent+"    cvode.active(1)\n");
+            main.append(bIndent+"    cvode.atol(self.abs_tol)\n");
+            main.append(bIndent+"    cvode.rtol(self.rel_tol)\n");
+            main.append(bIndent+"else:\n");
+            main.append(bIndent+"    h.dt = dt\n");
+            main.append(bIndent+"    h.steps_per_ms = 1/h.dt\n\n");
 
             if(!nogui)
             {
@@ -1350,7 +1386,8 @@ else if(cc.getComponentType().isOrExtends(NeuroMLElements.CONTINUOUS_CONNECTION_
             columnsPre.get(timeRef).add(bIndent+"h(' objectvar v_" + timeRef + " ')");
             columnsPre.get(timeRef).add(bIndent+"h(' { v_" + timeRef + " = new Vector() } ')");
             columnsPre.get(timeRef).add(bIndent+"h(' { v_" + timeRef + ".record(&t) } ')");
-            columnsPre.get(timeRef).add(bIndent+"h.v_" + timeRef + ".resize((h.tstop * h.steps_per_ms) + 1)");
+            columnsPre.get(timeRef).add(bIndent+"if self.abs_tol is None or self.rel_tol is None:\n");
+            columnsPre.get(timeRef).add(bIndent+"    h.v_" + timeRef + ".resize((h.tstop * h.steps_per_ms) + 1)");
 
             columnsPost0.get(timeRef).add(bIndent+"py_v_" + timeRef + " = [ t/1000 for t in h.v_" + timeRef + ".to_python() ]  # Convert to Python list for speed...");
 
@@ -1410,7 +1447,8 @@ else if(cc.getComponentType().isOrExtends(NeuroMLElements.CONTINUOUS_CONNECTION_
                             columnsPre.get(outfileId).add(bIndent+"h(' objectvar v_" + colId + " ')");
                             columnsPre.get(outfileId).add(bIndent+"h(' { v_" + colId + " = new Vector() } ')");
                             columnsPre.get(outfileId).add(bIndent+"h(' { v_" + colId + ".record(&" + lqp.getNeuronVariableReference() + ") } ')");
-                            columnsPre.get(outfileId).add(bIndent+"h.v_" + colId + ".resize((h.tstop * h.steps_per_ms) + 1)");
+                            columnsPre.get(outfileId).add(bIndent+"if self.abs_tol is None or self.rel_tol is None:\n");
+                            columnsPre.get(outfileId).add(bIndent+"    h.v_" + colId + ".resize((h.tstop * h.steps_per_ms) + 1)");
 
                             float conv = NRNUtils.getNeuronUnitFactor(lqp.getDimension().getName());
                             String factor = (conv == 1) ? "" : " / " + conv;
@@ -1571,7 +1609,12 @@ else if (eofFormat.equals(EventWriter.FORMAT_ID_TIME))
 
             main.append(bIndent+"self.initialized = True\n");
             main.append(bIndent+"sim_start = time.time()\n");
-            main.append(bIndent+"print(\"Running a simulation of %sms (dt = %sms; seed=%s)\" % (h.tstop, h.dt, self.seed))\n\n");
+
+            main.append(bIndent+"if self.abs_tol is not None and self.rel_tol is not None:\n");
+            main.append(bIndent+"    print(\"Running a simulation of %sms (cvode abs_tol = %sms, rel_tol = %sms; seed=%s)\" % (h.tstop, self.abs_tol, self.rel_tol, self.seed))\n");
+            main.append(bIndent+"else:\n");
+            main.append(bIndent+"    print(\"Running a simulation of %sms (dt = %sms; seed=%s)\" % (h.tstop, h.dt, self.seed))\n\n");
+
             main.append(bIndent+"try:\n");
             main.append(bIndent+"    h.run()\n");
             main.append(bIndent+"except Exception as e:\n");
@@ -1709,7 +1752,7 @@ else if (eofFormat.equals(EventWriter.FORMAT_ID_TIME))
 
             main.append("if __name__ == '__main__':\n\n");
 
-            main.append("    ns = NeuronSimulation(tstop="+len+", dt="+dt+", seed="+seed+")\n\n");
+            main.append("    ns = NeuronSimulation(tstop="+len+", dt="+dt+", seed="+seed+", abs_tol="+abs_tol+", rel_tol="+rel_tol+")\n\n");
 
             main.append("    ns.run()\n\n");