diff --git a/src/ParamEstim.jl b/src/ParamEstim.jl
index 6d53081f..866686d5 100644
--- a/src/ParamEstim.jl
+++ b/src/ParamEstim.jl
@@ -138,7 +138,7 @@ end
 (cf::RSSCostFunction)(params::AbstractVector) = cf(candidate(cf, params))
 
 _solve(cf::RSSCostFunction, params::AbstractVector) = _solve(cf, cf._func(params))
-_solve(::RSSCostFunction, prob::Problem) = solve(prob)
+_solve(::RSSCostFunction, prob::Problem) = solve(prob, verbose = false)
 _solve(::RSSCostFunction, sol::Solution) = sol
 
 """
diff --git a/src/finite.jl b/src/finite.jl
index d378f145..4b9f9e22 100644
--- a/src/finite.jl
+++ b/src/finite.jl
@@ -161,6 +161,7 @@ Uses backward Euler time discretization and a second-order central difference sc
 
 # Keyword arguments
 - `abstol=1e-3`: nonlinear solver tolerance.
+- `verbose=true`: whether warnings are emitted if solving is unsuccessful.
 
 ---
 
@@ -174,13 +175,15 @@ Solve the `DirichletProblem` `prob` with a finite-difference scheme.
 
 # Keyword arguments
 - `abstol=1e-3`: nonlinear solver tolerance.
+- `verbose=true`: whether warnings are emitted if solving is unsuccessful.
 """
 function solve(prob::Union{
             DirichletProblem{<:DiffusionEquation{1}},
             FiniteProblem{<:DiffusionEquation{1}},
         },
         alg::FiniteDifference;
-        abstol = 1e-3)
+        abstol = 1e-3,
+        verbose = true)
     if prob isa DirichletProblem
         @argcheck iszero(prob.ob) "FiniteDifference only supports fixed boundaries"
         @argcheck isnothing(alg._pre) "pre not valid for a DirichletProblem (use BoltzmannODE directly instead)"
@@ -204,7 +207,8 @@ function solve(prob::Union{
        prob.i isa Number
         presol = solve(DirichletProblem(prob.eq, i = prob.i, b = prob.b),
             alg._pre,
-            abstol = abstol)
+            abstol = abstol,
+            verbose = verbose)
         if presol.retcode != ReturnCode.Success
             θ .= prob.i
             return FiniteSolution(r,
@@ -348,8 +352,8 @@ function solve(prob::Union{
     end
 end
 
-function solve(prob::FiniteProblem{<:DiffusionEquation{1}}; abstol = 1e-3)
-    solve(prob, FiniteDifference(pre = BoltzmannODE()), abstol = abstol)
+function solve(prob::FiniteProblem{<:DiffusionEquation{1}}; abstol = 1e-3, verbose = true)
+    solve(prob, FiniteDifference(pre = BoltzmannODE()), abstol = abstol, verbose = verbose)
 end
 
 """
diff --git a/src/integration.jl b/src/integration.jl
index 4564005a..2c9d936f 100644
--- a/src/integration.jl
+++ b/src/integration.jl
@@ -55,7 +55,11 @@ monotonicity(odeprob::ODEProblem)::Int = sign(odeprob.u0[2])
 const _ODE_ALG = RadauIIA5()
 const _ODE_MAXITERS = 1000
 
-function _init(odeprob::ODEProblem, alg::BoltzmannODE; i = nothing, abstol = 0)
+function _init(odeprob::ODEProblem,
+        ::BoltzmannODE;
+        i = nothing,
+        abstol = 0,
+        verbose = true)
     if !isnothing(i)
         direction = monotonicity(odeprob)
 
@@ -70,17 +74,18 @@ function _init(odeprob::ODEProblem, alg::BoltzmannODE; i = nothing, abstol = 0)
             _ODE_ALG,
             maxiters = _ODE_MAXITERS,
             callback = past_limit,
-            verbose = false)
+            verbose = verbose)
     end
 
-    return init(odeprob, _ODE_ALG, maxiters = _ODE_MAXITERS, verbose = false)
+    return init(odeprob, _ODE_ALG, maxiters = _ODE_MAXITERS, verbose = verbose)
 end
 
 function _init(prob::Union{CauchyProblem, SorptivityProblem},
         alg::BoltzmannODE;
         i = nothing,
-        abstol = 0)
-    _init(boltzmann(prob), alg, i = i, abstol = abstol)
+        abstol = 0,
+        verbose = true)
+    _init(boltzmann(prob), alg, i = i, abstol = abstol, verbose = verbose)
 end
 
 function _reinit!(integrator, prob::CauchyProblem)
@@ -96,8 +101,8 @@ function _reinit!(integrator, prob::SorptivityProblem)
 end
 
 """
-    solve(prob::CauchyProblem[, alg::BoltzmannODE]) -> Solution
-    solve(prob::SorptivityProblem[, alg::BoltzmannODE]) -> Solution
+    solve(prob::CauchyProblem[, alg::BoltzmannODE; verbose]) -> Solution
+    solve(prob::SorptivityProblem[, alg::BoltzmannODE; verbose]) -> Solution
 
 Solve the problem `prob`.
 
@@ -105,6 +110,9 @@ Solve the problem `prob`.
 - `prob`: problem to solve.
 - `alg=BoltzmannODE()`: algorithm to use.
 
+# Keyword arguments
+- `verbose=true`: whether warnings are emitted if solving is unsuccessful.
+
 # References
 GERLERO, G. S.; BERLI, C. L. A.; KLER, P. A. Open-source high-performance software packages for direct and inverse solving of horizontal capillary flow.
 Capillarity, 2023, vol. 6, no. 2, p. 31-40.
@@ -113,8 +121,8 @@ See also: [`Solution`](@ref), [`BoltzmannODE`](@ref)
 """
 function solve(prob::Union{CauchyProblem, SorptivityProblem},
         alg::BoltzmannODE = BoltzmannODE();
-        abstol = 1e-3)
-    odesol = solve!(_init(prob, alg, abstol = abstol))
+        verbose = true)
+    odesol = solve!(_init(prob, alg, verbose = verbose))
 
     @assert odesol.retcode != ReturnCode.Success
 
diff --git a/src/shooting.jl b/src/shooting.jl
index d7dd85b7..1a84f3c1 100644
--- a/src/shooting.jl
+++ b/src/shooting.jl
@@ -21,13 +21,13 @@ end
 function _init(prob::DirichletProblem, alg::BoltzmannODE; d_dob, abstol)
     return _init(CauchyProblem(prob.eq, b = prob.b, d_dob = d_dob, ob = prob.ob),
         alg,
-        i = prob.i, abstol = abstol)
+        i = prob.i, abstol = abstol, verbose = false)
 end
 
 function _shoot!(integrator, prob::DirichletProblem; d_dob, abstol)
     return _shoot!(integrator,
-        CauchyProblem(prob.eq, b = prob.b, d_dob = d_dob, ob = prob.ob),
-        i = prob.i, abstol = abstol)
+        CauchyProblem(prob.eq, b = prob.b, d_dob = d_dob, ob = prob.ob), i = prob.i,
+        abstol = abstol)
 end
 
 """
@@ -42,6 +42,7 @@ Solve the problem `prob`.
 # Keyword arguments
 - `abstol=1e-3`: absolute tolerance for the initial condition.
 - `maxiters=100`: maximum number of iterations.
+- `verbose=true`: whether warnings are emitted if solving is unsuccessful.
 
 # References
 GERLERO, G. S.; BERLI, C. L. A.; KLER, P. A. Open-source high-performance software packages for direct and inverse solving of horizontal capillary flow.
@@ -51,7 +52,8 @@ See also: [`Solution`](@ref), [`BoltzmannODE`](@ref)
 """
 function solve(prob::DirichletProblem, alg::BoltzmannODE = BoltzmannODE();
         abstol = 1e-3,
-        maxiters = 100)
+        maxiters = 100,
+        verbose = true)
     @argcheck abstol ≥ zero(abstol)
     @argcheck maxiters ≥ 0
 
@@ -71,6 +73,9 @@ function solve(prob::DirichletProblem, alg::BoltzmannODE = BoltzmannODE();
         @assert integrator.sol.retcode != ReturnCode.Success
         retcode = integrator.sol.retcode == ReturnCode.Terminated ? ReturnCode.Success :
                   integrator.sol.retcode
+        if verbose && !SciMLBase.successful_retcode(integrator.sol)
+            @warn "Problem has a trivial solution but failed to obtain it"
+        end
         return Solution(integrator.sol, prob, alg, _retcode = retcode, _niter = 0)
     end
 
@@ -90,6 +95,9 @@ function solve(prob::DirichletProblem, alg::BoltzmannODE = BoltzmannODE();
         end
     end
 
+    if verbose
+        @warn "Maximum number of iterations reached without convergence"
+    end
     return Solution(integrator.sol,
         prob,
         alg,
@@ -103,7 +111,8 @@ function _init(prob::FlowrateProblem, alg::BoltzmannODE; b, abstol)
     return _init(SorptivityProblem(prob.eq, b = b, S = 2prob.Qb / prob._αh / ob, ob = ob),
         alg,
         i = prob.i,
-        abstol = abstol)
+        abstol = abstol,
+        verbose = false)
 end
 
 function _shoot!(integrator, prob::FlowrateProblem; b, abstol)
@@ -126,6 +135,7 @@ Solve the problem `prob`.
 # Keyword arguments
 - `abstol=1e-3`: absolute tolerance for the initial condition.
 - `maxiters=100`: maximum number of iterations.
+- `verbose=true`: whether warnings are emitted if solving is unsuccessful.
 
 # References
 GERLERO, G. S.; BERLI, C. L. A.; KLER, P. A. Open-source high-performance software packages for direct and inverse solving of horizontal capillary flow.
@@ -135,7 +145,8 @@ See also: [`Solution`](@ref), [`BoltzmannODE`](@ref)
 """
 function solve(prob::FlowrateProblem; alg::BoltzmannODE = BoltzmannODE(),
         abstol = 1e-3,
-        maxiters = 100)
+        maxiters = 100,
+        verbose = true)
     @argcheck abstol ≥ zero(abstol)
     @argcheck maxiters ≥ 0
 
@@ -153,10 +164,16 @@ function solve(prob::FlowrateProblem; alg::BoltzmannODE = BoltzmannODE(),
     if monotonicity(prob) == 0
         integrator, resid = _shoot!(integrator, prob, b = prob.i, abstol = abstol)
         @assert iszero(resid)
+        @assert integrator.sol.retcode != ReturnCode.Success
+        retcode = integrator.sol.retcode == ReturnCode.Terminated ? ReturnCode.Success :
+                  integrator.sol.retcode
+        if verbose && !SciMLBase.successful_retcode(integrator.sol)
+            @warn "Problem has a trivial solution but failed to obtain it"
+        end
         return Solution(integrator.sol,
             prob,
             alg,
-            _retcode = ReturnCode.Success,
+            _retcode = retcode,
             _niter = 0)
     end
 
@@ -174,6 +191,9 @@ function solve(prob::FlowrateProblem; alg::BoltzmannODE = BoltzmannODE(),
         end
     end
 
+    if verbose
+        @warn "Maximum number of iterations reached without convergence"
+    end
     return Solution(integrator.sol,
         prob,
         alg,
diff --git a/test/test_dirichlet.jl b/test/test_dirichlet.jl
index fea7dec1..c18f1390 100644
--- a/test/test_dirichlet.jl
+++ b/test/test_dirichlet.jl
@@ -121,17 +121,8 @@
 
     @testset "unsolved" begin
         prob = DirichletProblem(identity, i = 0, b = 1)
-        θ = solve(prob, maxiters = 0)
+        θ = @test_logs (:warn, "Maximum number of iterations reached without convergence") solve(prob,
+            maxiters = 0)
         @test θ.retcode == ReturnCode.MaxIters
     end
-
-    @testset "unsolvable" begin
-        prob = DirichletProblem(identity, i = -1e-3, b = 1)
-        θ = solve(prob)
-        @test_broken θ.retcode == ReturnCode.Unstable
-
-        prob = DirichletProblem(identity, i = 0, b = -1)
-        θ = solve(prob)
-        @test_broken θ.retcode == ReturnCode.Unstable
-    end
 end